Book Description

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Kaplan's guides to the New York State Regents Exams come complete with a comprehensive review of all the tested material plus Kaplan's exclusive test-taking strategies. This powerful combination makes the New York State Regents Exam: Mathematics Course II, Second Edition, a highly effective way for you to score higher on this very challenging test.

Are you ready for the New York State Regents Mathematics Course II exam? You will be with Kaplan's proven plan for success.

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The results of this test will outline your strengths and weaknesses. You will find out the exact areas on which you need to focus your preparation.

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Review the Tested Material:
Kaplan takes you through each section step-by-step, providing you with effective tips and strategies to successfully answer every type of question.

STEP 3:
Practice with Real Regents Exams:
Practice makes perfect. And with this book, you'll practice with the real thing -- actual Regents exams, including detailed explanations for every answer and an analysis of your performance.

STEP 4:
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Follow Kaplan's plan for success on the Regents and you will score higher. In fact, we guarantee it. ... Read more

Book Description

Completely revised and expanded, The Facts On File Dictionary of Mathematics is clear, concise, and informative. Over 200 new terms have been included with an emphasis on those in applied mathematics and computer science.

Over 200 new entries cover: Fractal Mandelbrot set Chaos Theory Computer graphics Hypertext Bezler curve and more. ... Read more

Reviews (2)

The Facts on File Dictionary of Mathematics, 3rd Edition
The Facts on File Dictionary of Mathematics, 3rd Edition, does have a few mistakes, and my daughter Elisabeth Shippee has had fun finding them.We have corresponded with the author(s) once in 2003 and they promptly responded with a detailed email; and we just sent them another email and expect a reply shortly.

A handy reference book, with some mistakes, yes, but these are acknowledged by the author(s), to be fixed in a later edition.A good buy based upon the authors' willingness to follow up on correspondence regarding the book.

Steven Shippee
shippee@jcs.mil

Several Mistakes
I read this book in order to review my mathematical knowledge and discovered 16 mistakes. Some were typos ( => was used where <=> was needed.); some were factual (a kilometer "... approximating to 1.609 miles."); and some were mathematical (p. 47 "countable (denumerable)" The set of rational numbers, for example, is countable..."; p. 54 "denumerable set" "The set of rational numbers, on the other hand, is not denumerable..."). I emailed the editor and got no response. I found these in the 3rd edition paperback. ... Read more

Book Description

This book presents the principles and specific problem-solving methods that can be used to solve a variety of mathematical problems. The book provides clear examples of various problem-solving methods accompanied by numerous exercises and their solutions. Principles of Mathematical Problem Solving introduces and explains specific problem-solving methods (with examples), and gives a set of exercises and complete solutions for each method. The idea is that by studying the principles and applying them to the exercises, the reader will gain problem-solving ability as well as general mathematical insight. Eventually, the reader should be able to produce results that have "the whole air of intuition." Organized according to specific techniques in separate chapters, techniques include induction and the pigeonhole principle, among others. Arranged in order of increasing difficulty, the book presents a wide variety of problem sets designed to illustrate significant mathematical ideas. Each chapter also includes a moderate amount of the "theory" behind each problem-solving principle it presents.An essential resource for every student of mathematics and every professional who needs to solve mathematical problems. ... Read more

Reviews (1)

Lots of good problems, some solutions, and useful techniques
Like Larson's book, "Problem Solving Through Problems", this is a textbook aimed at preparing students for mathematics contests such as the annual Putnam Competition.It will probably also be of interest to highschool students preparing for some of the higher level contests such as theAIME, USAMO, andthe international olympiad.The text consists of a largecollection of problems, along with many solutions.There's little here onheuristics for problem solving. Instead, the book focuses on bits ofmathematical theory that often come up in solving such problems but may notoften come up in the undergraduate curriculum ( things like Jensen'sinequality, the pigeonhole principle, etc.) Larson's "Problem SolvingThrough Problems" is similar in style and content.For more onproblem solving heuristics, see Polya's "Mathematical Discovery"or "Thinking Mathematically" by Mason, Burton, and Stacey. ... Read more

Book Description

Hardbound. This volume is devoted to Sample Surveys, which is the most widely used method in statistical practice. It covers many theoretical and practical aspects of social and biological investigations, and is a valuable guide for those involved in designing sample surveys. ... Read more

Book Description

Reviews (1)

A Must-Have for every programmer
In the acknowledgements to the first edition of Numerical Recipes in Fortran, Wm. Press et al write "We also wish to ackowledge two individuals we have never met: Forman Acton, whose 1970 textbook NumericalMethods That Work has surely left its stylistic mark on us...." (Thesecond being Donald Knuth) In Real Computing, Acton expands in greaterdetail upon the theme of the earlier work, which is that good computingroutines are problem-specific. That insight and understanding arecalled-for; recipes and black box routines are insufficient. In thefifties, with powerful mainframes few and far between, engineers farmed outtheir computations to a computing center. There you could find the guys whoknew intelligent machine computing. When the IBM 370 came along, everyuniversity had its own machine, and computations became in-house. Theexpertise you found in the old centers wasn't there. Acton worked in one ofthose centers, and this book is written to guide the reader in acquiringsome of the old magic. ... Read more

Book Description

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers. Members of the editorial board of this series consists of following prominent economists and mathematicians: Managing Editors: S. Kusuoka (Univ. Tokyo), T. Maruyama (Keio Univ.). Editors: R. Anderson (U.C. Berkeley), C. Castaing (Univ. Montpellier), F.H. Clarke (Univ. Lyon I), G. Debreu (U.C. Berkeley), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Okayama Univ.), J.-M. Grandmont (CREST-CNRS), N. Hirano (Yokohama National Univ.), L. Hurwicz (Univ. of Minnesota), T. Ichiishi (Ohio State Univ.), A. Ioffe (Israel Institute of Technology), S. Iwamoto (Kyushu Univ.), K. Kamiya (Univ. Tokyo), K. Kawamata (Keio Univ.), N. Kikuchi (Keio Univ.), H. Matano (Univ. Tokyo), K. Nishimura (Kyoto Univ.), M.K. Richter (Univ. Minnesota), Y. Takahashi (Kyoto Univ.), M. Valadier (Univ. Montpellier II), A. Yamaguti (Kyoto Univ./Ryukoku Univ.), M. Yano (Keio Univ.). ... Read more

Book Description

This book features contributions from the International Conference on Impact Loading of Lightweight Structures.

The topics covered are all relevant to the behaviour of Lightweight Structures subjected to various dynamic loads.Many leading researchers, from all over the world, contributed to this conference with articles on material characterisation, structural failure and crashworthiness, energy absorbing systems, experimental techniques, theoretical models and numerical analysis, each providing information on the design of modern, lightweight structures and contributing to a safer world. ... Read more

Book Description

From the reviews of the first edition:

"Anyone who enjoys the logic and reasoning of mathematics and has a strong undergraduate mathematics background should enjoy this book...I would imagine that few mathematicians have seen all these proofs. The combination of ideas in many of the proofs should delight mathematicians everywhere." - MAA ONLINE

The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from number theory, geometry, analysis, combinatorics, and graph theory. Thirty beautiful examples are presented here. They are candidates for THE BOOK in which God records the perfect proofs - according to the late Paul Erdös, who suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added. ... Read more

Reviews (4)

A fitting tribute to the great Paul Erdos
Paul Erdos once remarked that you need not believe in God, but you certainly have to believe in the book in which God maintains the "perfect" mathematical proofs. Martin Aigner and Gunter Ziegler have certainly done a great job with this book, a fitting tribute to the great Erdos himself.

I had purchased a copy of the 1st edition of this book and was plesantly surprised that the authors had come up with a 2nd edition, with a few more "perfect" proofs.

My personal favorites are "The Shannon capacity of a graph". where the Lovasz theta number would eventually lead to semidefinite programming, Erdos' probabilistic method where probability makes counting sometimes easy, computing the number of trees in a graph, how many guards it takes to guard a museum, and the section on Turan's theorem.

This book deserves to be on the bookshelves of both amateur and professional mathematicians.

Proofs from THE book!!!!!!!
An excellent book which looks at all branches of mathematics - graph theory, combinatorics, even logic. Contains some of the most spectacular proofs to math's most interesting conjectures. I highly recommend this book for any student interested in pursuing mathematics beyond high school. -I am sorry for my broken english, I speak French.

original
This book was conceived as a tribute to Paul Erdos for his 85th birthday. It is clearly inspired by his aestetics and research interests. The proofs are from number theory, combinatorial geometry, inequalities, combinatorics and graph theory. The statements are very often easy to understand; for example "there always exists a prime number between n and 2n", "every set of more than 2^d points in R^d determines at least one obtuse angle". Theorems and proofs are chosen because of their simplicity and elegance, not their relevance to modern or past mathematics. The book is, graphically and stilistically, a gem.

Overall, this is great reading for mathematicians and mathematically literate readers alike. It's also a bit odd, since the book is neither a reference nor a textbook. The only criticism I have is not directed to the book itself. It would be much appreciated to have similar books, but focused on different topics. For example "probabilistic proofs from the book", or "topological proofs from the book".

The ideal maths book for dipping into...
This is a beautifully produced book with very elegant proofs of theorems from a variety of areas. The proofs require little previous knowledge, but be warned: if you haven't got undergraduate mathematics then you will not find it easy to read. On the other hand, if you have then you will find this book truly delightful. Top marks! ... Read more

Book Description

A "Quick Reference" in "easy to understand language" to Basic Math Skills including:

Math Vocabulary & Order of Operation; Fractions & Decimals; Percent & Integers; Geometry; Squares & Square Roots; Word Problems; Metric & Customary Measurement, and Much More !! ... Read more

Book Description

This volume deals with first and second order complex equations of hyperbolic and mixed (elliptic hyperbolic) type in which various general boundary value problems for first and second order linear and quasilinear complex equations of hyperbolic and mixed type are investigated in detail. ... Read more