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1. Numerical Analysis by Richard L. Burden, J. Douglas Faires | |
list price: $140.95
our price: $134.95 (price subject to change: see help) Asin: 0534382169 Catlog: Book (2000-12-29) Publisher: Brooks Cole Sales Rank: 85773 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (20)
Very moderate calculus is all it takes Very transparent, clear, and straight to the point this book is all I needed to quickly learn about the Gaussian quadrature and understanding both the algorithm itself as well as WHY IT WORKS AND DOES SO EFFICIENTLY. Please disregard the previous author's review, as its poisonous tone alone should suggest that he is trying to blame his own mathematical deficiencies upon the authors of this very worthwhile text.
Numerical Analysis for Dummies its not...
full of errors
Review of Numerical Analysis, 7th edition Even though the book has an initial chapter ("mathematical preliminaries"), reading this chapter is not enough if the student has not a good previous mathematical knowledge. The book introduces modern approximation techniques and explains how, why and when these techniques are expected to work, and allows the reader to understand why one algorithm works better than other for a given problem. The text contains many examples as well as application problems in various areas of science and engineering. The book uses Maple as the standard software for symbolic and approximate calculus, even though Mathematica and Derive are mentioned too and could be used instead with small modifications. The original English edition (7th edition) includes a CD-ROM with all the algorithms, expressed in different formats (C, Fortran, Pascal, Maple, Mathematica and MATLAB), although the Spanish translation (edited by Thomson Learning) does not include the CD-ROM. However, there is an Internet address in which the CD-ROM contents can be accessed. To conclude, the book is a good text that requires a mathematical background from the reader and covers a broad range of modern approximation techniques. It is not a mere numerical methods cookbook, but a text that analyzes and applies the numerical methods instead.
Wordy, poor algorithms, worse code Maybe due to my physics background, but his notation of representing indexes of variables as a _power_ is confusing: Finally, several of the codes on the included CD refused to run, and some of them didn't give correct answers. You will need some programming experience to edit, as none of the codes (at least all of the Matlab and possibly all of the C) adhere to any programming standards or formatting. Mr. Burden (or his programmer) is invited to purchase and use Steve McConnell's "Code Complete"--or hire someone who knows how to write maintainable code well. What is the purpose of supplying code if it cannot be used in other projects? "Gee Wiz, the book includes Code!" one might exclaim. "But what good is it?" is the inevitable response. ... Read more |
2. An Introduction to Mathematical Reasoning : Numbers, Sets and Functions by Peter J. Eccles | |
list price: $31.99
our price: $31.99 (price subject to change: see help) Asin: 0521597188 Catlog: Book (1997-12-11) Publisher: Cambridge University Press Sales Rank: 134173 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (5)
Now I know how beautiful proofs can be
Just buy this With this book, I was able to truly learn and understand the major concepts behind mathematical logic and proof. This text brings a whole new meaning to teaching the reader about being precise; and I mean the author does an extremely terrific job of doing just that. Wow! Seriously, the focus here is on content so you won't find any sexy graphs or anything. The content is so good that I often felt that just by reading it I was propelled into a quasi- pseudo-lecture meeting. After following this text, I can say that I now appreciate the act of being precise to the point that is required for mathematical proof. If you want to extend the knowledge of your 'white board' then just buy this thing. I am so glad I did. BTW, I only needed the content from the first five chapters, I can't say much about the rest of the text. However, taking an inductive approach, I must assume that the other chapters are also very excellent. Yess, see it worked!
Fabulous So Far. An excellent supplement for a typical college text.
It's a Jewel
User-Friendly! Almost makes learning analysis fun! |
3. Numerical Solution of SDE Through Computer Experiments (Universitext) by Peter Eris Kloeden, Eckhard Platen, Henri Schurz | |
list price: $69.95
our price: $69.95 (price subject to change: see help) Asin: 3540570748 Catlog: Book (2003-01-31) Publisher: Springer Sales Rank: 284480 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
4. The Universal History of Numbers : From Prehistory to the Invention of the Computer by GeorgesIfrah | |
list price: $22.95
our price: $15.61 (price subject to change: see help) Asin: 0471393401 Catlog: Book (2000-09-22) Publisher: Wiley Sales Rank: 257711 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (7)
A great book to browse through If they had, I doubt they would have done any better of a job. Ifrah's book isn't perfect, but one can't expect such a book to be. This book is huge, folks. Ifrah is only one human being who tried to synthesize dozens of fields in none of which he could expect to become an expert. I think he did his best and I find his writing style companionable. Of course he makes errors, but he says a lot more things very well. We should be mindful of the book's limitations. But we also have to be grateful for what Ifrah managed to do.
A deception? I'll quote various lines from Dauben's January review: "...he[Ifrah]either wrote to the wrong experts, was indifferent to their responses, or was not prepared to settle for their inconclusive results and the tentative nature of their research." "...Ifrah offers nothing but certainties." (when writing about "[James]Ritter simply declares all of this to be false, due to an erroneous conflation of sources. First of all, he takes Ifrah's list to be a contrived amalgamation of names coming from Read Professor Dauben's review. Afterwards, George Ifrah's fun-to-read, plausible book won't count for as much.
5000 years in the fascinating story of numbers "Universal History of Numbers" is a huge, marvellous, fascinating story which deals with the birth of essential concepts in numbering systems in our distant past. Ifrah chases the clues in ancient sumerians hexagesymal system; the magical hieroglyphes of ancient Egyptians; the mysterious Maya and their counting system; Hebrew, Greek and Roman numbers with the mystics of "gematria"; sacred numerical signs of ancient Indus civilization and China, and much much more. This is not just a "history of numbers"; Ifrah's work is a brilliant study on the roots of our civilization. While dealing with the numbers, he also presents us a perfect panorama of ancient cultures, such as the Maya calendar, the Vedic philosophy, Ancient Sumerian myths or the stories of Egyptian gods, in a very entertaining style. If you are interested with the roots of civilization and "ancient wisdom", you must read this excellent book - you'll never regret.
Absolutely Astounding
Excellent work numbers |
5. The Book of Numbers by John Horton Conway, Richard K. Guy | |
list price: $35.00
our price: $23.80 (price subject to change: see help) Asin: 038797993X Catlog: Book (1996-09-27) Publisher: Copernicus Books Sales Rank: 33110 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Amazon.com Reviews (9)
Artful Numbers
nice but not for the timid
Numbers used as toys
Delightful!!!
Excellent, but not as good as ONAG or Winning Ways |
6. Mathematical Computing by David Betounes, Mylan Redfern | |
list price: $59.95
our price: $59.95 (price subject to change: see help) Asin: 0387953310 Catlog: Book (2002-01-15) Publisher: Telos Sales Rank: 914239 US | Canada | United Kingdom | Germany | France | Japan | |
7. Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics, No 22) by J. W. Thomas, J.W. Thomas | |
list price: $69.95
our price: $59.46 (price subject to change: see help) Asin: 0387979999 Catlog: Book (1995-10-01) Publisher: Springer-Verlag Sales Rank: 416889 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Prerequisites suggested for using this book in a course might include at least one semester of partial differential equations and some programming capability. The author stresses the use of technology throughout the text allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized, and algebraic manipulators are used when convenient. This is the first volume of a two-part book. The second part is entitled Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations. ... Read more Reviews (2)
Good, practical book for FDM applied to PDE (...)
Numerical Partial Differential Equations |
8. The Mathematical Theory of Finite Element Methods by Susanne C. Brenner, L. Ridgway Scott | |
list price: $54.95
our price: $47.26 (price subject to change: see help) Asin: 0387954511 Catlog: Book (2002-04-12) Publisher: Springer-Verlag Sales Rank: 246636 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
a nice introductory book Also, at the end of the book there is a very well written chapter focused on Interpolation operators, where there is a very nice (and very easy to read) presentation of the Sccot-Zhang interpolation operator, and some of the principal results on approximation. Resuming, it is a very recomendable book in the subjet, specially recomendable for mathematics students interested on finite elements, and researchers in the field. ... Read more |
9. Introduction to Mathematical Thinking : Algebra and Number Systems by Will J. Gilbert, Scott A. Vanstone | |
list price: $58.00
our price: $58.00 (price subject to change: see help) Asin: 0131848682 Catlog: Book (2004-07-22) Publisher: Prentice Hall Sales Rank: 997606 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
10. The Prime Numbers and Their Distribution (Student Mathematical Library, Vol. 6) by Gerald Tenenbaum, Michel Mendes France, Philip G. Spain | |
list price: $17.00
our price: $17.00 (price subject to change: see help) Asin: 0821816470 Catlog: Book (2000-06-01) Publisher: American Mathematical Society Sales Rank: 506619 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more. Two separate chapters address the asymptotic distribution of prime numbers. In the first of these, the familiar link between $\zeta(s)$ and the distribution of primes is covered with remarkable efficiency and intuition. The later chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the "why" of the proof, connections are made along the way with more familiar results such as Stirling's formula. A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramér's model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true. In this context, they address interesting questions about equipartition modulo $1$ for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation of the French edition. ... Read more Reviews (1)
discursive look at modern prime number theory Highlights are: a sketch of Dirichlet's original proof of his theorem on the infinitude of primes in arithmetic progressions; a new (1984) elementary proof of the Prime Number Theorem due to Henri Daboussi; a brief introduction to Cramer's ideas about using probability theory to conjecture results about the distribution of primes; and a survey of current unsolved problems. Daboussi's proof is especially interesting because it introduces a number of ideas that are used over and over again in more advanced work, in particular the study of numbers free of large, or small, prime factors. The book can be read either as a survey of what is currently known, or in more detail for a good understanding of modern methods. ... Read more |
11. Iterative Solution of Large Sparse Systems of Equations (Applied Mathematical Sciences) by Wolfgang Hackbusch | |
list price: $84.95
our price: $84.95 (price subject to change: see help) Asin: 0387940642 Catlog: Book (1994-01-01) Publisher: Springer-Verlag Sales Rank: 944821 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
12. Computational Inelasticity (Interdisciplinary Applied Mathematics, Vol 7) by J. C. Simo, Thomas J. R. Hughes | |
list price: $79.95
our price: $79.95 (price subject to change: see help) Asin: 0387975209 Catlog: Book (1998-08-01) Publisher: Springer-Verlag Sales Rank: 408156 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (4)
Absolutely Accept No Substitute
Right on target yet someting missing It is disheartening to see that the numerical schemes for the integration of the constitutive equations of the endochronic theory are missing from the book.
A good book in computational mechanics
Comprehensive text for numerics of constitutive modelling. For all those in the Finite Element industry, doing numerical modelling work, this will be an excellent text/reference. ... Read more |
13. Numerical Methods by J. Douglas Faires, Richard L. Burden, Douglas Faires, Bob Pirtle, Karin Sandberg | |
list price: $128.95
our price: $128.95 (price subject to change: see help) Asin: 0534407617 Catlog: Book (2002-11-18) Publisher: Brooks Cole Sales Rank: 160112 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
Good book for Numerical Methods Class |
14. An Introduction to Programming and Numerical Methods in MATLAB by Stephen Otto, James P. Denier | |
list price: $39.95
our price: $39.95 (price subject to change: see help) Asin: 1852339195 Catlog: Book (2005-05-03) Publisher: Springer Sales Rank: 247380 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description This text provides a first course in numerical methods and programming taught through the medium of MATLAB. It is designed to give readers their first exposure to any kind of programming. The first three chapters introduce readers to the power of MATLAB without overwhelming them with its advanced features; the text then covers all the elementary material associated with numerical methods, and helps students develop skills in algorithm design. Examples of code are provided to debug, hence accentuating the need for precision, and developing readers’ skills in finding errors in their own work. At the end of each chapter, tasks are provided to reinforce the ideas introduced, with full solutions at the back of the book. A glossary of terms is provided, with each term supported by an example of the syntaxes commonly encountered. Aimed at first and second year undergraduates in mathematics and engineering, this book will also be invaluable for engineers who need to use MATLAB in their work environment. ... Read more |
15. Clifford (Geometric) Algebras With Applications to Physics, Mathematics, and Engineering by William E. Baylis, Summer School on Theoretical Physics of the Canadian Association of Ph | |
list price: $76.95
our price: $65.41 (price subject to change: see help) Asin: 0817638687 Catlog: Book (1996-07-01) Publisher: Birkhauser Boston Sales Rank: 813498 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (1)
Good compilation Chapter introduces Clifford algebras as an extension of the real numbers to include vectors and vector products. The familiar representation in Euclidean space is outlined, with emphasis on the exterior product of two vectors, which, the author points out, is associative (unlike the ordinary cross product). The connection with rotations, reflections, and volume elements is pointed out, and the complex numbers and the Pauli algebra are shown to be Clifford algebras. A short history of Clifford algebras is given in chapter 2. The reader not familiar with Clifford algebras should have no trouble following the ensuing discussion where some elementary geometric constructions are given of the Clifford algebra on the Euclidean plane. In addition, the operator approach to Weyl, Majorana, and Dirac operators is given, illustrating in detail their connection to physics. Recognizing that the Fierz identities do not by themselves give the Weyl and Majorana spinors, the author introduces what he calls the boomerang method for their construction. The boomerang is essentially a linear combination of bilinear covariants for a spinor, and the author details the conditions under which the spinor can be reconstructed. Interestingly, and unknown to me at the time of reading this chapter, the author constructs a new class of spinors, the "flag-dipole" spinors, that are different from the Weyl, Majorana, and Dirac spinors. The author of chapter 3 considers the construction of Clifford algebras from a more geometric viewpoint, calling them geometric algebras, which he motivates by the consideration of extending the reals by a unipotent ( a number not equal to +1 or -1 but whose square is 1). The resulting unipodal numbers are isomorphic to the diagonal 2 x 2 matrices. The extension of the unipodal numbers so as to make this isomorphism to the full 2 x 2 matrix algebra leads to Clifford algebras. In Chapter 9, the spacetime algebra is brought in to study electron physics. The "space-time algebra" or STA is used to characterize the observables associated with Pauli and Dirac spinors. The material presented is standard in physics, wherein the Green's function (propagator) for the Dirac equation is given, along with scattering theory. The typical problem of scattering off a potential barrier of finite width is discussed, along with the Klein paradox. The space-time algebra is also discussed in the context of the interpretation of quantum mechanics in Chapter 11. The authors really do not add anything new here (in terms of what one might consider "strange" behavior in quantum physics). They interpret Dirac currents as measurable quantities, avoiding seemingly any notion of wave packet collapse and difficulties with defining tunneling time(s), but not answering at all how to measure these currents. In addition, the Pauli principle is interepreted in the context of space-time algebra, without any quantum field theory. Howerver, it is not shown that such an approach satisfies cluster decomposition, casting suspicion on its utility. In Chapters 21, 22, and 23 the author shows how spinors fit into the framework of the Lorentz group, their relationship to the Clifford algebra, and in general relativity. It is shown how the Dirac spinor can be defined in three different ways, namely as an element of the representation space of the Clifford algebra of spacetime, an element of the representation space of the fundamental representation of the Dirac spinor metric-preserving automorphism group of the Clifford algebra, and as an element of the representation space of the fundamental representation of the covering group of the conformal group. The most interesting discussion in the book is chapter 28 on extending the Grassmann algebra. Dispensing with any scalar product on a vector space, the author shows how to obtain the relative magnitude between two vectors and this leads to the notion of a multivector. The duals to these are called outer forms, and are the familiar differential forms when depending on spatial position. Many helpful diagrams are used to illustrate the properties of multivectors and pseudomultivectors, the linear span of which is called the extended Grassmann algebra of multivectors. Adding a scalar product reduces the number of directed quantities to four, and electrodynamics can be formulated in a way that is independent of the scalar product. ... Read more |
16. Statistical And Computational Inverse Problems (Applied Mathematical Sciences) by JARI KAIPIO, Erkki Somersalo | |
list price: $69.95
our price: $69.95 (price subject to change: see help) Asin: 0387220739 Catlog: Book (2005-02-28) Publisher: Springer-Verlag Sales Rank: 335067 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
17. Random Number Generation and Monte Carlo Methods (Statistics and Computing) by James E. Gentle | |
list price: $79.95
our price: $67.96 (price subject to change: see help) Asin: 0387001786 Catlog: Book (2003-07-01) Publisher: Springer-Verlag Sales Rank: 265762 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (3)
Great Reference Book !
Not good for the beginner
Random number algorithms Also useful: a chapter on assessing the quality of RNGs, discussions of Gibbs and Latin Hypercube sampling, and bootstrapping. This book is "non-denominational". Many MC books focus on simulation in particular fields (such as physics). The focus here is on the science of random numbers itself. This short book has been extremely helpful in my implementation of Monte Carlo methods. The first 40 pages are virtually a daily reference for me. Any developer needing assistance and understanding of the types of random number generators available will find this small book extremely helpful. ... Read more |
18. Domain Decomposition Methods by Andrea Toselli, Olof Widlund | |
list price: $89.95
our price: $89.95 (price subject to change: see help) Asin: 3540206965 Catlog: Book (2004-06-15) Publisher: Springer-Verlag Sales Rank: 1292115 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The purpose of this text is to offer a comprehensive and self-contained presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. Strong emphasis is placed on both algorithmic and mathematical aspects. Some important methods such FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods, not treated previously in any monograph, are covered in detail. ... Read more |
19. Image Analysis, Random Fields and Markov Chain Monte Carlo Methods: A Mathematical Introduction (Applications of Mathematics) by Gerhard Winkler | |
list price: $87.95
our price: $74.76 (price subject to change: see help) Asin: 3540442138 Catlog: Book (2003-01-17) Publisher: Springer-Verlag Sales Rank: 234197 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
a bible book to learn Gibbs sampler and simulated annealing |
20. Numerical Modelling in Materials Science and Engineering by Michel Rappaz, M. Bellet, M. Deville, Ray Snyder | |
list price: $99.00
our price: $99.00 (price subject to change: see help) Asin: 3540426760 Catlog: Book (2002-12-16) Publisher: Springer-Verlag Sales Rank: 804512 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
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