Book Description

The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 'explorations' invite the reader to investigate research problems and related topics. ... Read more

Reviews (2)

6 stars! one of my favourites!
This book would be helpful for anyone in high school or 4th-year abstract algebra, or anywhere in between! There's hardly any text to read, I would say ~85% of the learning is done by solving the problems. Barbeau guides the reader by giving directions on how to solve them sometimes, so learning from this book is MUCH MORE interactive (I think that's the right word...) than with others where you just read. It covers complex numbers, how to solve quadratics, cubics & quartics by radicals, symmetric functions of the roots, some number theory (like congruences), numerical methods & approximating roots, factors & zeros and symmetric functions of the roots. Another good one (more advanced than this though) is by Theory of Equations by Uspensky, out of print though unfortunately.

5 stars as an introduction
I found this book many months back when it was still out of print(terribly hard to find back then, but I got it!). This book is fantastic as an introduction to the deep theory involved with polynomials. Covers things such as generating functions, quadratics, complex numbers, Cardan's method for cubics and Ferrari's and Descartes' method for quartics, elementary symmetric polys. in 2, 3, and 'n' variables, some number theory, Rings, Fields, applications of the calculus, a thorough chapter on factoring and zeros of a function, and much more including exercises and some very nice problems.
Overall this is an outstanding book(like many of the other books in the Springer-Verlag Problem books series--though a bit pricey). Highly recommended for anyone interested in extending their knowledge beyond what is required in high school or at the university level. Students participating in competitions may also find this quite useful. ... Read more

Book Description

Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions.

This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading. ... Read more

Reviews (1)

Excellent introduction to Topology.
This is a good book for the first year in PhD studies. I recommend amply this book, it's very clear in the explanation, if you have any doubts about topology, Rockafellar explained in this book very simple the theory and all you need about Topology. ... Read more

Book Description

Student's love Schaum's--and this new guide will show you why! Graph Theory takes you straight to the heart of graphs. As you study along at your own pace, this study guide shows you step by step how to solve the kind of problems you're going to find on your exams. It gives you hundreds of completely worked problems with full solutions. Hundreds of additional problems let you test your skills, then check the ansers. So if you want to get a firm handle on graph theory--whether to ace your graph course, to supplement a course that uses graphs, or to build a solid basis for future study--there's no better tool than Schaum's. This guide makes a wonderful supplement to your class text, but it is so comprehensive that it can even be used alone as a complete graph theory independent study course! ... Read more

Reviews (3)

This book is $$$ for a reason
This book was an absolute hell to contend with. I've taken two courses in Graph Theory, using Robin J. Wilson's Introduction to Graph Theory and this cheap broadsheet, respectively. Wilson's book is the one to use! It's extremely well-written, even fun to read--the reviews on Amazon will bear that out.

In the second graph theory course that I took (to refresh and refine my understanding), the professor chose the Schaum text solely for its low cost--he thought he was doing the students a service. Hardly.

No thought whatsoever has been put into the readability of this book. The tiny dark-grey font on light-grey paper is a simple enough design flub that makes reading past even two or three pages at a time almost unbearable. Defining terms is seen as a chore to be compacted--a single page at the beginning of each chapter might try to define 10-15 terms, just to get them out of the way. It becomes a mess of bold print that the reader is forced to continually return to because the definitions come with no context nor examples by which to remember them. In the end, the reader realizes that 2/3 of the book is just list after list of badly-worded questions following under-scripted lessons.

Look, it's not even worth writing any more about, the text frustrates me so much. There's only two other reviews on this page, and I'd place money on them being written by the author himself. Save yourself the $$$ and the hassle, and just go buy Wilson's book. Trust me.

Good Book. I recommend it.
In general, the book not requires study in advance, but it is better for reference. I'm a software engineer and the book's treatment of "Shortest Path" and "Connectivity" problems is very usefull. Good for fast remember of the subject.

A smooth surfing into the amazing world of graph theory
In this book one can find a practical survey of both principles and practice of graph theory, with great coverage of the subject. The outhor provides a lots of solved problems, with losts of theory proofs and all with great clarity and common reasoning. The outhor gets you enter the subject step by step from the easy problems to the hardest with great skill. Also the algorithms on graphs presented in this book, and in general the algorithmic approach of this book are presented most clearly. You wouldn't leave this book until you'l finish read it and understand graph theory. Finally you would fill that at least on one branch of mathematics you are well sitted. ... Read more

Book Description

This guidebook to mathematics contains, in handbook form, the fundamental working knowledge of mathematics that is needed as an everyday guide for working scientists, engineers, and students. Easy to understand, and convenient to use, this guidebook provides the information necessary to evaluate most problems which occur in concrete applications. This fourth edition has been fully revised and now contains a new emphasis on those fields of mathematics that have become more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. ... Read more

Reviews (9)

Clasic
For me it was a remarkable fact, how few of the people in western countries have heard about this handbook. In the east this is probably the most popular mathematical handbook ever. I dont know any eastern european scientist in a field of mathematics, engineering and physics who don't have it. The main reason is it's extensivity and usefulness. In Croatian print it has about 1000 pages in very small format covering all possible parts of applied mathematics up to special functions/markov chains/complex integration/vector algebra. It's "allways in backpack book" and my hot recomandation to any technical scientist.

Treasure Island
The original title of this book was "The Mathematical Handbook for Engineers and Technical Colleges' Students". This reflects the essence of what it is about: well rounded Math coverage for those who did not earn Ph.D. in Math yet.
For each of the topics covered the book gives you not only theoretical explanations, but plenty of examples as well. This feature allows anyone to get good understanding of the specific subject, and in most cases this knowledge is more than adequate for the problem solving.
The countless editions of this gemstone had been used by the generations of Russian students and engineers since, I believe 1940s. In my family alone it was the most used reference book for more than 50 years.

not a good reference book for mathematician
It's probably a good book for engineers, but definitely not the right one for mathematician or anybody who needs to do serious math.

Una herramienta valiosa
Cuando comence a estudiar en la universidad, uno de los profesores tenía una edición de 1977 de la editorial MIR en español del libro Manual de Matemáticas para Estudiantes e Ingenieros, a todos nos parecio un libro excepcional, pero increiblemente difícil de hallar, luego cuando comenzamos a estudiar los cálculos, geometría análitica, siempre utilizamos diferentes autores, muchos de ellos eran principlamente de alemania y la unión sovietica. La claridad con la que se refiere a los conceptos que fundamentan el ejercicio de la ingenieria, hacen de este libro la mano derecha de cualquier ingeniero, en la actualidad dispongo de un ejemplar de esta 3era edición y lo utilizó como como herramienta de referencia. En algunas oportunidades he tenido la oportunidad de preparar clases informales para amigas/os o familiares de ellos que aún estudian en la universidad y siempre llevo conmigo este manual.

*The* reference book
I have been using it during my studies and never regrettec the price. It has some mistakes (I got the 2nd edition) but apart from that it is just excellent. ... Read more

Book Description

Empowering users with the knowledge necessary to begin using mathematical programming as a tool for managerial applications and beyond, this practical guide shows when a mathematical model can be useful in solving a problem, and instills an appreciation and understanding of the mathematics associated with the applied techniques. Surveys problem types, and discusses various ways to use specific mathematical tools. Contains prerequisite material for the study of linear programming, and offers a brief introduction to matrix algebra. Discusses the special structures of four network problems: the transportation problem, the critical path method, the shortest path problem, and minimal spanning trees. Covers compound interest and explores the financial aspects of specific problems considered throughout the book. Touches on "mathematics" oriented (vs. applications) material, with integrated proofs and discussions on such topics basic graph theory, linear algebra, analysis, properties of algorithms, and combinatorics. An extensive appendix section includes answers to many problems, an introduction to the linear programming package LINDO, an overview of the symbolic computation package Maple, and brief introductions to the TI-82 and TI-92 calculators and their applications. ... Read more

Reviews (4)

one of the best
This is one of the best textbooks on real analysis and probability (at the graduate level). You will need a solid undergraduate course in analysis before being able to read this one. In any case, the exposition is quite elegant and clear. All the major theorems are proved. Also provides good exercises ranging from routine to quite challanging. The first half of the book presents the elements of advanced real analysis and topology (including the essentials of functional analysis); the second half presents probability theory (including martingales and stochastic processes). Very comprehensive.

Fun for those who like abstract math
You will find this an excellent book, as long as you belong to its target public. The book is targeted towards real mathematicians interested in a very theoretical approach of probability and the underlying real analysis framework. Although this book is very much self contained (in principle you do not need any pre-knowledge of real analysis since everything is explained from the beginning), the reader should have a rather high level of maturity in abstract math. It is definitely not a book for beginners, since it has a high level of abstraction. If you only want to learn the more practical 'calculus alike' aspects based on intuition, you should buy another book. On the other hand, if you like highly theoretical and abstract math, if you want rigor,if you are a mathematical researcher,... this book deserves a closer look.
Readers of books at this level will definitely need to invest more time than with the average math books, but will be rewarded with the indescribable feeling of understanding the creative thoughts of some great mathematicians.

Key points are :
-explains everything you need from zero. The first chapter for instance starts with basic set theory, subsequent chapters
describe basic topology, Hilbert an Banach spaces and functional analysis. Further chapters then move to probability based on the theoretical underpinning of the first half of the book.
-contains not always the most intuitive proofs, but definitely the most beautiful, creative and elegant ones.
-contains interesting notes and historical aspects at the end of each chapter.
-does not cheat on the proofs : there are no gaps in the proofs that are left as an exercise to the reader. Everything is explained in full detail.
-is up to date with the most recent theoretical developments.

If you like abstract math, give it a try and enjoy

Not a good book for learning new material!
This is definitely not a good book for learning the material for the first (or even second!) time. It's difficult to read, has too few examples, and the material is way too condensed for studying analysis. Based on what the author presents, the problems are generally difficult to solve.

Back in Print!
This book was out of print for a few years, but Cambridge Univ Press has issued a revised edition. This is my favorite book for real analysis, measure theory, and probability theory. The book is very self-contained and rigorous, and develops probability theory abstractly enough for advanced work in the field. If you are interested in empirical process theory, this text can be followed by Dudley's book on Uniform Central Limit Theorems. ... Read more

Book Description

This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics.

This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory. ... Read more

Reviews (6)

A masterpiece in wavelets
This is a very well written book on the theory of wavelets and its applications. The presentation is self-contained and may serve as an introduction for someone who wants to learn about this topic. It also is an excellent book for those who have an advanced graduate degree in applied mathematics since it demonstrates how to truly understand complex concepts. This book gives a general presentation of some recent developments in wavelet theory with an emphasis on techniques that have a geometric and spectral-theoretic flavor. It can be certainly used as a textbook for graduate students as well as as a reference book for the specialists and researchers. A very nice feature of the book are the tutorials at the beginning of each chapter and some sections, which serve as summaries of main ideas and guides through the background ideas and motivation. At the end of every chapter there are plenty of excercises of various level of difficulty. Overall, this is a great book and I recommend it highly to a motivated reader.

Distinguished link between math and computer science
This is an important mathematical reference written in excellent style. Wavelets have found applications in many areas of engineering and CS. The authors provide a detailed, rich and entertaining tour through this relatively young but important field for both math and CS/Eng. Connections are, e.g., made between advanced CS virtual-reality applications such as audio-systems processing, future applications such as quantum computing, and advanced math in functional analysis and operator theory.

A fresh look at wavelets
The Book by Bratteli and Jorgensen is a superb book on wavelet's theory. It is very well written and has new and a fresh point of view on the subject. Although there are several good books on wavelets, the book by Bratteli and Jorgensen covers an important niche that has not been covered before. In particular

1- The book covers the theory of wavelets from the point of view of operators and functional analysis and will appeal to a growing number of pure as well as applied mathematicians interested in the subject.

2- The writing of the book is very appealing: every chapter starts by a tutorial that gives motivation as well as intuition. It is then followed by a very clean mathematical development of the subject, together with many examples, figures, and applications from physics and engineering. A set of nice problems is provided at the end of each chapter. Thus this book can be used as a graduate textbook or for mathematical seminars in mathematics departments.

3- This book can even be used by experts in wavelet theory for learning about recent developments and new perspectives from operator theory and functional analysis.

I highly recommend this book.

an intriguing new wavelet book
This is a book about an important topic in applied mathematics by two authors with excellent credentials in both pure and applied areas. The reader will find many intriguing threads connecting wavelets to other parts of mathematics, including a wavelet index theorem, quantum computing, the ubiquitous C*-algebras O_n and, of course, spectral theory. The graphics are meticulously done.

I look forward to learning a lot from it.

An Intriguiging New Book
This is a book about an important topic in applied mathematics by two authors with excellent
credentials in both pure and applied areas.

The reader will find many intriguing threads connecting wavelets to other parts of mathematics, including a wavelet "index theorem", quantum computing, the ubiquitous Cuntz C*-algebras and, of course, spectral theory. The graphics are excellent. I look forward to learning a lot from it. ... Read more

Book Description

This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity.An effective use of examples, and huge number of interesting exercises, demonstrate the topics oftrees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs.For those who need to learn to make coherent arguments in the fields of mathematics and computer science. ... Read more

Reviews (11)

A great introduction
Some of the criticisms leveled at West's book by other reviewers focus on either the errors that appear in the book or the choice of material. To the former concern, I would certainly add my own lamentations about the errors in the book, but note that in learning from this text I did not find the errors grevious at all and West's web page is a good guide to reading around them if you find something that cannot easily be interpreted from context (which I could not). However, the later concern I see as too nitpicking, as the book does a good job of familiarizing the reader with a large breadth of topics, to be chosen at the instructor's disscression. Just covering some subset of the book proved to be more than enough material for a challenging and well-paced one semester class, as the book was intended. I found West's literary style eminently readible, and more to the point I have been able to go on in Graph Theory with an excellent preperation thanks to West's book, which I see as the real measure of an introductory text.

I can't recommend West's text enough. It is modern and well written, and it serves as a great introduction to a wonderful field of mathematics.

Unclear Statements
My professor gave me the section about Random Graphs to study. It nearly drove me insane; I came up with counter examples to West's theorems! Then I read the proof closely and realized West was proving the opposite of what I understood the statement to say (on more than one occaision within four pages). So, my next meeting with the prof, I asked him to translate what one of the theorems said, and he read it just the way I understood it the first time around. Now, his explanations are clear most of the time, but then West uses unnecessarily complex language too frequently.

Pretty good
Level of the book: 3rd-4th year undergrad or 1st-2nd year grad (pretty big range).

Don't let other reviews fool you. This book does an excellent job covering the material at hand, especially given the task West set out to achieve. The book basically stands alone thanks to thorough appendices and a fair amount of examples, plus lots of problems (mostly proofs). Because this material is proof-based, I cannot suggest that this book could stand alone, but that someone else should review problems and such.

When I first was reading this book, I ignored the appendices, and that was my downfall. Once I started using all the tools in this book, things started coming together. Because of the intricate design, I would recommend this book only to people who are serious about a thorough introduction to graph theory. That is, actually proving many of the theorems that play a central role in this introduction. For a simple introduction to concepts, I would recommend Trudeau's book, "Introduction to Graph Theory," which is a good read and introduces a few of the ideas and definitions of graph theory, but does not focus on proofs.

My only major quarrel with this book is that it is completely void of color! This would be EXTREMELY useful in this book because many of the diagrams are complicated and different color labels would make things much clearer (instead of bolding lines and such). The increased price of the book would certainly be worth the clarity from color. There are also some typos throughout the book, but none too major (that have been noticed).

Overall, I would highly recommend this book over any other, but consider waiting until an edition with color comes out.

What the???
This book is horrible for learning Graph Theory. It is hard to understand and follow. I don't recommend it at all, especially as a new student. It might be useful as a reference after you learn everything, but it's layout is crammed, crunched and unreadable. I can't understand the simple topics, I had to do internet research to decipher the text.

Bad Book
This is one of the worst books that I have read. Either I dont understand this subject or there is something drstically wrong with this book.

I used "Google" to find topics in Graph theory and could understand the topics but could'nt understand what this guy wrote. ... Read more

Book Description

Analysis of variance (ANOVA) models have become widely used tools and play a fundamental role in much of the application of statistics today. In particular, ANOVA models involving random effects have found widespread application to experimental design in a variety of fields requiring measurements of variance, including agriculture, biology, animal breeding, applied genetics, econometrics, quality control, medicine, engineering, and social sciences. This two-volume work is a comprehensive presentation of different methods and techniques for point estimation, interval estimation, and tests of hypotheses for linear models involving random effects. Both Bayesian and repeated sampling procedures are considered. Volume I examines models with balanced data (orthogonal models); Volume II studies models with unbalanced data (nonorthogonal models). Features and Topics:* Systematic treatment of the commonly employed crossed and nested classification models used in analysis of variance designs * Detailed and thorough discussion of certain random effects models not commonly found in texts at the introductory or intermediate level * Numerical examples to analyze data from a wide variety of disciplines * Many worked examples containing computer outputs from standard software packages such as SAS, SPSS, and BMDP for each numerical example * Extensive exercise sets at the end of each chapter * Numerous appendices with background reference concepts, terms, and results * Balanced coverage of theory, methods, and practical applications * Complete citations of important and related works at the end of each chapter, as well as an extensive general bibliography Accessible to readers with only a modest mathematical and statistical background, the work will appeal to a broad audience of students, researchers, and practitioners in the mathematical, life, social, and engineering sciences. It may be used as a textbook in upper-level undergraduate and graduate courses, or as a reference for readers interested in the use of random effects models for data analysis. ... Read more

Book Description

Contents

Preface Chapter 1: Getting started Chapter 2: The continuous wavelet transform 2.1 Introduction 2.2 The Wavelet 2.3 Requirements for the Wavelet 2.4 The Energy Spectrum of the Wavelet 2.5 The Wavelet Transform 2.6 Identification of Coherent Structures 2.7 Edge Detection 2.8 The Inverse Wavelet Transform 2.9 The Signal Energy: Wavelet Based Energy and Power Spectra 2.10 The Wavelet Transform in Terms of the Fourier Transform 2.11 Complex Wavelets: The Morlet Wavelet 2.12 The Wavelet Transform, Short Time Fourier Transform and Heisenberg Boxes 2.13 Adaptive Transforms: Matching Pursuits 2.14 Wavelets in Two or More Dimensions 2.15 The CWT: Computation, Boundary Effects and Viewing 2.16 Endnotes 2.16.1 Chapter Key Words and Phrases 2.16.2 Further Resources Chapter 3: The Discrete Wavelet Transform 3.1 Introduction 3.2 Frames and Orthogonal Wavelet Bases 3.2.1 Frames 3.2.2 Dyadic Grid Scaling and Orthonormal Wavelet Transforms 3.2.3 The Scaling Function and the Multiresolution Representation 3.2.4 The Scaling Equation, Scaling Coefficients and Associated Wavelet Equation 3.2.5 The Haar Wavelet 3.2.6 Coefficients from Coefficients: The Fast Wavelet Transform 3.3 Discrete Input Signals of Finite Length 3.3.1 Approximations and Details 3.3.2 The Multiresolution Algorithm - An Example 3.3.3 Wavelet Energy 3.3.4 Alternative Indexing of Dyadic Grid Coefficients 3.3.5 A Simple Worked Example: The Haar Wavelet Transform 3.4 Everything Discrete 3.4.1 Discrete Experimental Input Signals 3.4.2 Smoothing, Thresholding and Denoising 3.5 Daubechies Wavelets 3.5.1 Filtering 3.5.2 Symmlets and Coiflets 3.6 Translation Invariance 3.7 Biorthogonal Wavelets 3.8 Two-Dimensional Wavelet Transforms 3.9 Adaptive Transforms: Wavelet Packets 3.10 Endnotes 3.10.1 Chapter Key Words and Phrases 3.10.2 Further Resources CHAPTER 4: FLUIDS 4.1 Introduction 4.2 Statistical Measures 4.2.1 Moments, Energy and Power Spectra 4.2.2 Intermittency and Correlation 4.2.3 Wavelet Thresholding 4.2.4 Wavelet Selection using Entropy Measures 4.3 Engineering Flows 4.3.1 Jets, Wakes, Turbulence and Coherent Structures 4.3.2 Fluid-Structure Interaction 4.3.3 Two-Dimensional Flow Fields 4.4 Geophysical Flows 4.4.1 Atmospheric Processes 4.4.2 Ocean Processes 4.5 Other Applications in Fluids and Further Resources CHAPTER 5: ENGINEERING TESTING, MONITORING AND CHARACTERISATION 5.1 Introduction 5.2 Machining Processes: Control, Chatter, Wear and Breakage 5.3 Rotating Machinery 5.3.1 Gears 5.3.2 Shafts, Bearings and Blades 5.4 Dynamics 5.5 Chaos 5.6 Non-Destructive Testing 5.7 Surface Characterisation 5.8 Other Applications in Engineering and Further Resources 5.8.1 Impacting 5.8.2 Data Compression 5.8.3 Engines 5.8.4 Miscellaneous CHAPTER 6: MEDICINE 6.1 Introduction 6.2 The Electrocardiogram 6.2.1 ECG Timing, Distortions and Noise 6.2.2 Detection of Abnormalities 6.2.3 Heart Rate Variability 6.2.4 Cardiac Arrhythmias 6.2.5 ECG Data Compression 6.3 Neuroelectric Waveforms 6.3.1 Evoked Potentials and Event-Related Potentials 6.3.2 Epileptic Seizures and Epileptogenic Foci 6.3.3 Classification of the EEG using Artificial Neural Networks 6.4 Pathological Sounds, Ultrasounds and Vibrations 6.4.1 Blood Flow Sounds 6.4.2 Heart Sounds and Heart Rates 6.4.3 Lung Sounds 6.4.4 Acoustic Response 6.5 Blood Flow and Blood Pressure 6.6 Medical Imaging 6.6.1 Ultrasonic Images 6.6.2 Magnetic Resonance Imaging, Computed Tomography and other Radiographic Images 6.6.3 Optical Imaging 6.7 Other Applications in Medicine 6.7.1 Electromyographic Signals 6.7.2 Sleep Apnea 6.7.3 DNA 6.7.4 Miscellaneous 6.7.5 Further Resources CHAPTER 7: FRACTALS, FINANCE, GEOPHYSICS AND OTHER AREAS 7.1 Introduction 7.2 Fractals 7.2.1 Exactly Self-Similar Fractals 7.2.2 Stochastic Fractals 7.2.3 Multifractals 7.3 Finance 7.4 Geophysics 7.4.1 Properties of Subsurface Media 7.4.2 Surface Fea ... Read more

Reviews (1)

An excellent and informative book
This book provides a comprehensive overview of wavelet transform methodologies and applications. The emphasis is on practical applications which are illustrated with many detailed figures and examples from Science and Engineering. A particular interesting chapter on medical applications is provided. In the introductory chapters, Addison gives a clear account of the theory for both continuous and discrete wavelet transform and associated post-processing techniques. Unlike many of the other books in this area, Addison communicates the concepts with a level of detail, sufficient for the applied engineer and scientist, but without becoming bogged down in a fog of mathematical gymnastics (a feature of many of the books in this area). A welcome addition to the growing number of books on this important signal analysis technique. ... Read more

Reviews (5)

Wide range of topics covered in detail, but lots of mistakes
I was quite amazed by the wide range of topics and applications covered by this book. And yet, each topic is covered in detail, with many algorithms presented to achieve a certain goal. The various algorithms are always summarised and compared, so that it is a simple matter to know which algorithm to choose depending on the circumstances of the problem at hand. I liked the very detailed examples which tend to run over a good number of iterations so that one can easily test one's understanding of the operation of the algorithm.

However, the disappointment lay in the number of mistakes that are made. Most of them are very subtle, and are only discovered if you go through the text carefully, or try to implement an algorithm based on the example pseudocode. In most cases it is the pseudocode that has gone wrong. If you are only a beginner programmer, then it will be difficult to sift through the poorly written pseudocode. On the other hand, a seasoned programmer will have no problems.

In summary - a top class book marred by some mistakes. If you know how to program, then this book is for you. Beginner programmers will be slowed somewhat by the poor pseudocode.

Easy to understand and great examples!
I found this edition of the book to be very easy to understand, especially for a novice. All of the algorithms were very helpful. The wide variety of computer examples (Matlab, Mathematica, C, etc.) that are used make the book a great tool for students.

Why only hardcover edition?
I like this book and have been reading it since 1985. I would be very pleased,if I am able to buy the student series edition, which is much cheaper than hardcover and practical. Why don't you supply also this edition?

I CAN BUY THIS CHEAPER AT THE UNIVERSITY BOOKSTORE
WHY WOULD ANYONE WANT TO GET RIPPED OFF BY AMAZON? THE UNIVERSITY IS THE LAST PLACE I WOULD EXPECT TO GET THE BOOK CHEAPER. DO YOU CHARGE S&H ON TOP OF THIS TOO? I CAN GET THE BOOK FOR $81 DOLLARS TODAY.

A very good Numerical Analysis book but with small mistakes.
I have been using this book since the first edition in 1970. I have just bought the last edition, from Amazon, and found three errors in the first chapter. It should be corrected. In figure 1.2 (pag 4), the end of l1 is not right.In the same page the third formula is not right, as it should show sqr(sin) instead of sin. In page 41, the first digit (d1) would always be 1, so IEEE 754 changed a little what is presented. Even so I want to repit that this is very good book and I recommend it firmly. Raymundo de Oliveira ... Read more

Book Description

"Handbook of Complex Variables" is a comprehensive reference work for scientists and engineers who need to know and use essential information and methods involving complex variables and analysis. Its focus is on basic concepts and informational tools for mathematical 'practice': solving problems in applied mathematics, science and engineering.

The information is self-contained and accessible to a broad readership. All the indispensable ideas are presented, as well as applications topics and a brief survey of available computer software. The material has been carefully organized for quick, convenient reference by specialists and non-specialists alike.

Features and Topics:

Comprehensive table of notation Extensive glossary of key terms
Detailed subject index
A catalog of conformal maps
Extensive examples of evaluating indefinite integrals using the calculus of residues
Generously illustrated with helpful figures and graphs
Brief survey of available computer software
Carefully worked examples for all key concepts
Tables and charts to summarize information for ease of use,

i.e., conformal mappings, equivalent definitions and equivalent concepts
Conformal mapping applications
Coverage of basic transform theory

This handbook is an essential reference and authoritative resource for all professionals, practitioners, and researchers in mathematics, physical sciences and engineering. Specialists and non-specialists will find its practical, problem-solving style both accessible and useful for their work. ... Read more

Reviews (1)

Good Reference
This book is exactly what it advertises, a consise reference to fundemental ideas, concepts, Theorems, etc., pertaining to Complex Variables.But this book is definitely not worth [the money]. ... Read more

Book Description

This volume contains all the exercises, and their solutions, for Serge Lang's fourth edition of "Complex Analysis," ISBN0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at the undergraduate level and cover the following topics: power series, Cauchy's theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in Chapters 9-16 is more advanced. The reader will find problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. This volume also serves as an independent source of problems with detailed answers beneficial for anyone interested in learning complex analysis. ... Read more

Reviews (1)

The Right Stuff !!!!!!!!!!!!!!
I bought this book with the goal to enhance my problem solving skills on complex analysis. I am a theoritical physics student and needed to gain a very comprehensive and operational understanding of the topic. This book had it all: it's very well written, very rigourous and gives an extra dimension to just reading a pure text explaining the theory of the subject. I wish we had this type of books in physics ! Lang's book and Shakarchi's solutions are the winning combination to learn complex analysis!!!!! 2 thumbs up ... Read more

Book Description

This powerful study tool covers difference calculus, sum calculus, ifference equations and more with many examples of their applications. Ideal for solo study or as a supplement to a course, it clearly explains principles and theorems and gives definitions, then takes students through problems and their step-by-step solutions. This provides firm footing and excellent preparation for real-life problems and school examinations.

Reviews (1)

Handy, but not perfect
This book discusses difference calculus, sum calculus, and difference equations as well as discusses applications. With each chapter, there are plenty of explanations and examples. The book also has problems you can try to test your knowledge of the chapter.

The problem I have with it is that not all the problems have answers to them. The explanations are great, but I want to make sure I understand it. There doesn't seem to be a pattern regarding which ones have answers in the back. You just have to try the problem, then look in the back to see if that one was answered.

I would still recommend this to help reinforce what you learn in class or just to refresh your memory. ... Read more

Book Description

A novel, practical introduction to functional analysis

In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations.

To keep the presentation concise and accessible, Jean-Pierre Aubin introduces functional analysis through the simple Hilbertian structure. He seamlessly blends pure mathematics with applied areas that illustrate the theory, incorporating a broad range of examples from numerical analysis, systems theory, calculus of variations, control and optimization theory, convex and nonsmooth analysis, and more. Finally, a summary of the essential theorems as well as exercises reinforcing key concepts are provided. Applied Functional Analysis, Second Edition is an excellent and timely resource for both pure and applied mathematicians. ... Read more

Book Description

Reviews (2)

I recommend this book to anyone who loves mathematics.
A Y Khinchin was one of the greatest mathematicians of the first half of the twentieth century. His name is is already well-known to students of probability theory along with A N Kolmogorov and others from the host of important theorems, inequalites, constants named after them. He was also famous as a teacher and communicator. Several of the books he wrote are still in print in English translations, published by Dover. Like William Feller and Richard Feynman he combines a complete mastery of his subject with an ability to explain clearly without sacrificing mathematical rigour.

In this short book the first two chapters contain a very clear development of the theory of simple continued fractions, culminating in a proof of Lagrange's theorem on the periodicity of the continued fraction representation of quadratic surds. Chapter three presents Khinchins beautiful and original work on the measure theory of continued fractions. The proofs of the theorems in this chapter are also entirely elementary.

Classic text, however not suitable for a first exposure.
This is Khinchin's classic work, translated from Russian in the 1930's. Although the book is rich with insight and information, Khinchin stays one nautical mile ahead of the reader at all times, the book moves at a truly alarming pace, and the book is not suitable to be used ALONE as an introduction to continued fractions. To supplement this book if this is a first exposure to continued fractions, I would recommend C.D. Old's book, which has many more examples which can be worked through until the reader is comfortable with the topic.

The book is brilliant and necessary for understanding continued fractions, but can't stand alone without supplemental material unless one is a professional mathematician. Khinchin frequently employs contrapositive proof formats, and there are occasional translation errors from Russian. The errors range from minor (awkward usage) to major (in one place, the translation is "negative" when it should be "non-negative", which confused me for half a day). ... Read more

Book Description

This book walks students through the basic concepts and techniques of differential and integral calculus, particularly as these relate to the theory and problem-solving required in the disciplines of business, economics and the sciences today. Simple calculations and examples, and more then a thousand problems with detailed solutions, help make it easy to understand how calculus works.

Reviews (1)

math
Since i'm studying for my first actuary exam, i was looking for a book that can help me pass the test. I didnt have to read a whole book to understand the problems. Schaum's Outline of Calculus for Business, Economics, and The Social Sciences helped me solve problems fast and easy! i recommend this book for people who need to learn in less time! ... Read more

Book Description

Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: · a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales · key aspects of financial modelling, including the Black-Scholes formula, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. In addition, further exercises and examples are provided to encourage the reader to become directly involved with the material. ... Read more

Reviews (6)

fine book
A correction to one of the previous comments. There is now an 'errata' on Springer's website. A 2nd edition of the book should be coming sometime, so you might want to check on that before buying.

A good introduction to Measure Theory
A good introduction to measure theory. Highly recomended if you are an undergraduate student in Mathematics or a graduate student in subjects such as Mathematical Statistics or Econometrics. Unfortunately, chapter 6 (on product measures) lacks of the clarity of exposition of precedent ones (what may be problem for anyone interested in probability theory).
In any case, this is a book worth having.

A solid introductory text
This text is a leisurely development of the major concepts in measure of probability theory. There are many useful examples that are sprinkled throughout the text that motivate the discussion. The solutions to the problems are also provided. This book is suitable for advanced undergraduate. Although I don't have any major complaints about the book, there already exists a much better book with many more exercises, diagrams, and much more thorough development and extension of the principal concepts. That book is Jones' "Lebesgue integration on Euclidean space", which I cannot recommend highly enough.

Excellent
This is an excellent reference book for measure theory as it applays to probability.

Highly accessible
Highly accessible and clear intro to measure and Lebesgue integration. Can relax with this book while waiting for the train after work. Only minor negatives are: (1) not enough exercises and (2) there are typos but Springer Verlag doesn't provide any errata list whatsoever. ... Read more

Reviews (3)

I recommend this text for self-study
This collection of problems is really quite good. First, the problem is spelled out entirely, so you don't need to refer to the text. It is self-contained, for the most part. Each of the solutions is worked out with generous detail and the problems are chosen to accentuate certain basic results that are easy to take for granted unless you see the difficulties that arise in their absence. I recommend this text for self-study as a running start to Polya and Szego's more difficult problem book.

Excellent companion to Lang's Analysis book
This book is not just a "solutions manual." There are detailed proofs for all of the problems in the book. This book is essential if you want to truly learn real analysis.

Finaly an outstanding problems and solutions guide
The only way to study mathematics is by solving a large number of problems: this book permits the eager student to challenge his acquired knowledge. A must to all the students wanting to really master undergraduate analysis. ... Read more

Book Description

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!

The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose.Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist. ... Read more

Reviews (40)

Pursuing the Mysteries of the Ubiquitous Number Phi
Mario Livio, a cosmologist and art aficionado at the Hubble Space Telescope Center and the author of the previous book "The Accelerating Universe," wrote a lot about the irrational (never-ending, never-repeating) number phi, or the Golden Ratio, whose value is 1.6180339877... The story starts from these questions: Who discovered the Golden Ratio? Was phi used in the design of a Babylonian stela and Egyptian pyramids? The author pursues the answers to these questions, writing a series of his thoughts like a detective story.

Then he describes the role of the Greek mathematicians Plato and Euclid, and the Italian mathematician Leonardo Fibonacci in the history of phi, together with the geometrical and arithmetical wonders connected to this number. One example of the wonders is the relation between the Fibonacci sequence and phi. The Fibonacci sequence 1, 1, 2, 3, 5, 8, ... is defined as a series of numbers in which each term is the sum of the two preceding terms. The ratio of successive numbers of this sequence approaches phi as we go farther and farther down the sequence.

Next come the topics of phi found in nature and used in arts. The logarithmic spiral, which goes hand in hand with the Golden Radio, appears in the sunflower, the flight of a falcon, galaxies, etc. The author's study of many historical attempts to disclose the Golden Ratio in various works of art, pieces of music and poetry comes to the conclusion that ... (I have to refrain from writing the ending of the "detective story").

In the final chapter Livio considers the question: What is the reason that mathematics and numerical constants like phi play such a central role in topics ranging from fundamental theories of the universe to the stock market? Noting that the discussion about this question can fill the entire volume, the author gives a brief (but very understandable) description of the modified Platonic view and the natural selection interpretation. He also presents his personal opinion, which adopts complementarity of the above two views. This chapter whets readers' appetite for a possible next book on this topic to be written by Livio.

I strongly recommend "The Golden Ratio" to scientists, artists and laypersons that are interested in the wonders of numbers and mathematics and in their relations to arts and nature.

Golden Indeed!
Following in the steps of his earlier, just as fascinating account linking cosmology and the arts ("The Accelerating Universe"), Mario Livio continues to prove he is one of the most original, exciting and literate writers of popular science today. "The Golden Ratio" is a witty and learned journey generally following the trail of the number Phi, but stopping along the way to take in subjects as diverse as philosophy, history, art, religion, the sciences, architecture, etc.

Writing about science in a way that is both knowledgeable and understandable for the common reader is an infamous hurdle, but Livio leaps over it with the greatest of ease, giving clear explanations of every potentially difficult matter and providing the scientific proofs in the appendices, for those more mathematically inclined. Overall, though, it is the great humanity of Livio's worldview that shines through the book and makes it, at least for me, one of the most memorable reads of the year.

A Difficult Mathematical Concept Revealed
As a non-mathematician I appreciate any help I can get in understanding the more esoteric parts of math. The Golden Ratio is just such a concept. Fortunately, Mario Livio has shown much light on this remarkable corner of geometry in his book "The Golden Ratio."

It is little wonder that such numbers as the Golden Ratio were considered magical. The never ending, never repeating number that cannot ever be expressed as a fraction has an uncanny tendency to show up in the oddest places, not only galactic structure and nautilus shells, but in plant parts and composition of paintings and music. Unfortunately magical numerology can lead to far-fetched relationships, as to the so-called number of the beast (666), and to academicism in art. Just because the Golden Ratio results in a pleasing relationship in a composition we are not tied to always measure art on how well it fits that ratio!

Livio has illuminated the history of the Golden Ratio in such a way that much of the associated themes can be understood by the reasonably educated laymen. While some of the book can be tough sledding for most of us non-mathematicians, the gist is available to all with some effort.

Read this book to learn about the history of interpretation and misinterpretation of mathematical concepts.

A great guide to an amazing number
Livio's book is really an interesting look at a number similar to pi in that's an irrational number which displays itself in various places in nature, from the arrangement of petals on a flower to the logarithmic spirals of galaxies.

Livio explains the original formulation of this number by Euclid and proceeds to address the various times in history in which it may have been employed by architects, artists and musicians.

I think this is a really good book if you're interested in reading about the most "irrational of all irrational numbers".

Mathematically Profound
Broad streams of literary, historical, aethsetic and religious thought are pooled together in a concise and well-illustrated review of this powerful proportion, which recurs in the natural world in surprising places both large and small. Clearly presented mathematical proofs give the book a solid backbone. Mathematical ideas are expressed in the book through a combination of prose, appendix proofs, and plentiful illustrations & diagrams. This allows readers of varying mathematical ability and learning styles to appreciate the beautiful ideas that Livio gracefully presents. A must for serious lovers of proportion & geometry, architects, mystics, painters, graphic designers and mathematicians. ... Read more