Product Description
The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing.In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, the new edition remains the most practical, comprehensive handbook of scientific computing available today. ... Read more

Customer Reviews (38)

Checkout GNU scientific library (GSL)
I totally agree with another reviewer that the biggest drawback of numerical recipes (NR) is that first you have to buy them to see whether you need it or not afterall. Linux these days is way more user-friendly than it used to be. If you have fedora or ubuntu, get gsl with one line
On fedora:
yum install gsl gsl-devel
On ubuntu:
sudo apt-get install gsl-bin gsl-ref-html
That's it, people! What can be harder!

GSL documentation is free online, but you can order a book as well.
GNU Scientific Library Reference Manual - 2nd Edition

P.S. also GSL library can be used together with c++ code.

talk about outdated
this book was likely a looker back in the day, but its 2007 now. Need to have better details for non "C"-users. wish i had bought "Idiots Guide to C".

A classic book of numerical algorithms
This book, although published 15 years ago, is still very useful. In fact, its more recent counterpart "Numerical Algorithms in C++" is a mess, and I wouldn't recommend it to anyone. The explanations of the algorithms that occur in each section of this book are top-notch. It helps with such questions as "Sure you know how to evaluate an integral with pencil and paper, but how do you do it with a computer?" Everything from linear algebra techniques to integration and evaluation of functions to the FFT and spectral applications are explained clearly and coded up in C. The code is great too, with the exception of one problem that several reviewers have already mentioned - the author has a FORTRAN-like programming style in which each implementation has arrays going from 1 to n versus 0 to n-1. This does cause some implementation problems if you want to transfer the algorithms into another programming language. Overall, though, I can't think of one book that does all of the heavy lifting that this one book does as well as it does in the arena of numerical algorithms.

The book is now available online. Just type "Numerical Recipes" into Google and click on the Numerical Recipes Home Page to peruse the entire book free of charge. You might also find the "Numerical Recipes in C Example Book" useful. That book is simply the source programs that demonstrate all of the Numerical Recipes subroutines. Each example program contains comments and is preceded by a short description of how it functions. I know I found it helpful in many cases.

Very nice book
A must buy for students or researchers who need numerical methods. Comprehensive topics. A good place to start to deeper levels. Online book is good for quick look.

A classic, and still worth having
"Numerical Recipes" has been a staple in computing libraries for many years, and for good reason. It provides immediately usable implementations of all the workhorses of numerical computation, in production-quality form. Maybe there are better implementations out there, FFTW for example, but getting something to work correctly always comes before getting it to work fast. Numerical computation is a specialty, and vanishingly few of us are specialists. As a result, getting this much specialist knowledge for the price of a very few hours' wage, fully debugged and documented, is a great bargain.

I have to agree with the critics who point out that the Gnu Scientific Library (GSL) is more complete in some areas, and offers better licensing terms. This collection has its own strengths, though, and not just in documentation. The writeup, however, is the major interface between the software and us, the bio-ware. GSL's collection of 'man' (help) pages serves a purpose, but this book's exposition describes a lot more of the background and rationale for the routines. The code and man pages are self-evident statements of the implementation - but "what" is a very different question than "what else" or "why."

This one may not serve all needs. You'd be amazed how many it does serve, though. If you need more than a Matlab session for numerical computing, you need this.

//wiredweird ... Read more

Product Description
Fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. ... Read more

Customer Reviews (1)

The Best Pure/Applied Math Book
The is one of the best math books I've ever read.The reason is simple: the presentation is elegant and abstract, yet remains remarkably useful for applications.Tolimieri and An present a consice language in which to describe and use the mathematical entities underlying modern Fourier methods.In this language, many of the deep connections of this subject are reduced to trivial one line proofs.It's quite an amazing book.I wouldn't necessarily recommend it as an introduction to Fourier or Time-Frequency analysis -- especially if you're an engineer, or one who avoids abstract math -- but if you're looking for a nice, elegant treatment, this is the book you need. ... Read more

Product Description
The Numerical Recipes Third Edition Code CDROM contains the complete source code in C++ for Numerical Recipes Third Edition, with many completely new routines, plus source code from Numerical Recipes Second Edition in C, Fortran 77, and Fortran 90 and Numerical Recipes First Edition in Pascal and BASIC, and more.Compatible with all computers and operating systems, the CDROM includes a Personal Single-User License that allows an individual to use the copyrighted code on any number of computers (no more than one at a time). More general licenses are available, as well as more information about the CDROM and the book -- including a fully electronic online version. Please visit www.nr.com or www.cambridge.org/us/numericalrecipes for more details. More information concerning licenses is available at: www.nr.com/licenses The Readers' Forum, for bug reports and other information on using Numerical Recipes: http://www.nr.com/forum/ ... Read more

Customer Reviews (1)

DISAPPOINTED WITH SEQUENTIAL CODE
My rating reflects dissatisfaction with the concept of v3.0, rather than with how it's been implemented.Given past experience, I'm sure the implementation is just fine.

I've been very happily using the parallel version of the v2.10 NR algorithms in Fortran 9x for the past year or more.My work needs the extra oomph of multiple processors, and the algorithms are all that they're supposed to be.You can imagine my astonishment to discover that v3.0 is sequential C++ code.The authors made a big deal about parallel Fortran being the future of scientific computing in the preface of their Second Edition.Now all it merits is abowdlerization of Shakespeare in a footnote on p. xi.Indeed, "what a falling off was there!"

NR/v3.0 cuts off at least a portion of its high-end users, and that ain't progress. Had I realized this was going to happen, I would never have upgraded.As it is, I'm stuck with the Fortran 90 legacy portion of the CD.This might not be so bad if this code were supported, but it's not.

I strongly urge the authors to move toa parallel version of their new code and to support the Fortran code at least in the interim.The electronic text could provide a medium for so doing.

My displeasure obviously extends to the text, the production of which is superb, by the way. ... Read more

Product Description
From the Back Cover:The outstanding pedagogical features of this book are:ouse of numerical experiments as a means of learning

why numerical methods work and how they fail;oa separate chapter reviewing the basics of applied

linear algebra, and how computations involving

matrices and vectors are naturally expressed in MATLAB;ouse of a range of examples from those that provide a

succinct illustration of a basic algorithm, to those

that develop solutions to substantial problems in

engineering;oconsistent use of well-documented and structured code

written in the MATLAB idiom;oa library of general purpose routines—-the NMM

Toolbox-—that are readily applied to new problems;oa progressive approach to algorithm development

leading the reader to an understanding of the more

sophisticated routines in the built-in MATLAB toolbox. ... Read more

Customer Reviews (3)

For MatLAB begginers
A book for who are learning or beggning to use the MatLab. Comes with some examples and exercises on algebra and more. Must to have a hard cover!

Okay for a text
This book is okay for a text book, however there arent many examples, and the examples that are there are very simple.There are solutions for some problems online, though most of them are very basic and don't help very much.

Useful Book
This is a nice book for scientists and engineers. There are MATLAB programs already written that you can download from the webpage very easily, and modify for your specific use. I am no programmer, so having programs I can easily modify is a plus. This is meant to only be a review of linear algebra, so if you are trying to learn that subject, you will probably need to supplement this text with another book. This is not terribly in-depth on the MATLAB either. But it is a very useful handbook of plotting and interpolation methods, and how to choose the best methods for your particular set of data. ... Read more

Product Description
Numerical Methods in Engineering with MATLAB® is a text for engineering students and a reference for practicing engineers. The choice of numerical methods was based on their relevance to engineering problems. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB M-files accompany each method and are available on the book website. This code is made simple and easy to understand by avoiding complex book-keeping schemes, while maintaining the essential features of the method. MATLAB was chosen as the example language because of its ubiquitous use in engineering studies and practice. This new edition includes the new MATLAB anonymous functions, which allow the programmer to embed functions into the program rather than storing them as separate files. Other changes include the addition of rational function interpolation in Chapter 3, the addition of Ridder's method in place of Brent's method in Chapter 4, and the addition of downhill simplex method in place of the Fletcher-Reeves method of optimization in Chapter 10. ... Read more

Customer Reviews (1)

Useful Book- wish I had bought this sooner
I took a course numerical methods in Mechanical Engineering which covered much of hte same material.The class text was "Applied Numerical Methods for Engineers" Using MATLAB and C, by Robert J. Schilling and Sandra L. Harris.

I found the Schilling book very tedious.Also the MATLAB code included with teh book was really awful.Some of the codes contained mistakes so that they would produce the wrong answers.Other codes contained mistakes that would generate errors when you tried to run the programs.Other codes from the Schilling text were just ported over from C; the structure was inefficient and hard to follow- not well suited for MATLAB.

The Schilling book didn't encourage the reader to use many MATLAB functions that were built-in.The text tried to explain everything the hard way and was overall a very mediocre book- All the students and Professor in teh class agreed that Schilling's was a very mediocre book.I found it very confusing.

So I finally bought this one [Numerical Methods in Engineering with Matlab, Kiusalaas] on the recommendation of another student.It helped tremendously so I could do the final project and salvage a 'B' from the course.The codes are simpler to follow and more appropriate to MATLAB.It contains a much better explanation of the eigenvalue problems and systems of linear algebraic equations.

It's more practical if you want ot learn to do instead of [Schilling] putzing around getting stuck in minutiae.Or if you might prefer to do something first and then go back for a try at understanding the minutiae later.

I only wish I had bought this book sooner.The Schilling text ["Applied Numerical Methods for Engineers" Using MATLAB and C, by Robert J. Schilling and Sandra L. Harris] sucked.This book [Numerical Methods in Engineering with Matlab, Kiusalaas] was much better for MATLAB users.
... Read more

Product Description
Designed for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition. The author, who helped design the widely used LAPACK and ScaLAPACK linear algebra libraries, draws on this experience to present state-of-the-art techniques for these problems, including recommendations of which algorithms to use in a variety of practical situations.

If you are looking for a textbook that - teaches state-of-the-art techniques for solving linear algebra problems, - covers the most important methods for dense and sparse problems, - presents both the mathematical background and good software techniques, - is self-contained, assuming only a good undergraduate background in linear algebra,

then this is the book for you.

Algorithms are derived in a mathematically illuminating way, including condition numbers and error bounds. Direct and iterative algorithms, suitable for dense and sparse matrices, are discussed. Algorithm design for modern computer architectures, where moving data is often more expensive than arithmetic operations, is discussed in detail, using LAPACK as an illustration. There are many numerical examples throughout the text and in the problems at the ends of chapters, most of which are written in Matlab and are freely available on the Web.

Material either not available elsewhere, or presented quite differently in other textbooks, includes - a discussion of the impact of modern cache-based computer memories on algorithm design; - frequent recommendations and pointers in the text to the best software currently available, including a detailed performance comparison of state-of-the-art software for eigenvalue and least squares problems, and a description of sparse direct solvers for serial and parallel machines; - a discussion of iterative methods ranging from Jacobi's method to multigrid and domain decomposition, with performance comparisons on a model problem; - a great deal of Matlab-based software, available on the Web, which either implements algorithms presented in the book, produces the figures in the book, or is used in homework problems; - numerical examples drawn from fields ranging from mechanical vibrations to computational geometry; - high-accuracy algorithms for solving linear systems and eigenvalue problems, along with tighter "relative" error bounds;- dynamical systems interpretations of some eigenvalue algorithms.

Demmel discusses several current research topics, making students aware of both the lively research taking place and connections to other parts of numerical analysis, mathematics, and computer science. Some of this material is developed in questions at the end of each chapter, which are marked Easy, Medium, or Hard according to their difficulty. Some questions are straightforward, supplying proofs of lemmas used in the text. Others are more difficult theoretical or computing problems. Questions involving significant amounts of programming are marked Programming. The computing questions mainly involve Matlab programming, and others involve retrieving, using, and perhaps modifying LAPACK code from NETLIB. ... Read more

Customer Reviews (18)

It's Pretty Good, but Definitely Needs a Good Instructor to Supplement It
This is a fairly good, concise analysis of numerical linear algebra. It covers topics in a logical manner and overall has fairly good explanations. However, I feel that it has a few notable shortcomings.

Although explanations are fairly good, I found that they were too short. A minimum amount of detail is given, and there are very few examples. Also, there are very few end-of-chapter problems, and the ones given are almost all quite difficult and there are no answers available.

For these reasons I would only recommend this book for people with a strong background in linear algebra. I was an engineering undergraduate with a limited knowledge of linear algebra when I read it, but an upper-year math major or a math graduate would probably find this book to be ok, as long as their course instructor gives many supplementary resources, such as practice problems.

Excellent for its purpose
I am reviewing the book by Trefethen not by Demmel.There has been some confusion about these two books.

Many people commented that this book is logic and easy to read.Compared with some other books, this is true.However, the perquisite for this book is a sound understanding of linear algebra.Without that, you will need to be a math genius to find this book easy to read.So, this is an excellent book for your (at least my) first exposure to numerical linear algebra.It picks up about 40 important topics and cover them in such details that are not too overwhelming.

With the above positive side, I wish the author could expand the book and cover more topics or some topics in greater details.This book is good for an one semester course (Note that it has only just more than 300 pages for the main content).Many books are easily enough for two courses if not more.So, as a text book, this is excellent.But as a reference, you will need another book to go with it.Unfortunately, other books are not so easy to read.

By the way, for CG method the book is not excellent. You will need the article by Jonathan Richard Shewchuk. You can find it online. This is the best for CG.

It couldn't be better
Beautiful! Very simply, if you want to have an insight on linear algebraic procedures, and why this and that happens so and so, this is the book. Topic-wise, it is almost complete for a first treatment. Each chapter starts with a gentle introduction, building intuition and then gets into the formal material. The style is solid.

Although talking about procedures, it also attempts to give some geometric intuition here and there. It helps.

This is not a reference book though. You cannot find every important procedure.

Good reference
I have been using this textbook for my Numerical Linear Algebra class, and it have been a great help, actually is a good complement to Numerical Linear Algebra by Lloyd N. Trefethen and David Bau III. I totally recommend it.

Great Book for Self-Learning
I am a second year PhD student in Operations Research and for long I had been looking for a book in linear algebra to help me learn it myself (as I see that I need it no matter what research I want to do. It's just a good tool to know). One of my friends recommended this book to me, I got it and I am very happy with it. The book is great in different ways:
-it is in the form of short lectures and for me who wants to learn linear algebra step by step, this is a perfect approach. You will have a 5-6 page lecture so whenever you start, you are set to finish that lecture.
-It gives you intuition and understanding about what is really happenning geometrically which is amazing. To me, it is very important to have the "feeling" of what is happening because it is only then that you can think about bringing your real problem in this framework.
-The examples in lectures clarify the subject while exercises give you a chance to learn even more.
If you are new to linear algebra or know it but want to refresh your mind on intuitions and systematic thinking, I highly recommend this book. ... Read more

Product Description
An Introduction to C++ and Numerical Methods provides a brief yet comprehensive introduction to programming and numerical methods for students in engineering, chemistry, physics, and applied mathematics. It is suitable for second semester or second year students who have had at least a semester of calculus. This text offers students both an introduction to programming in C++ and clear explanations of the basics of numerical methods, including numerical integration and the solution of ordinary differential equations, nonlinear equations, and systems of linear equations. It is unique among textbooks at this level in its extensive coverage of numerical methods used in scientific and engineering computation. ... Read more

Customer Reviews (2)

not for any serious enineers
A waste of money! If you want to learn Numerical methods or need some C++ numerical code, don't buy this book. There are much better choice like "programming in C with numerical methods for engineers" by Kamal B. Rojiani or "an introduction to numerical methods in C++" by BH Flowers.

For Fortran programmers who want to learn C++
This book was written for scientific programmers who program mainly in Fortran but who want to move into C++. It is a brief and elementary discussion of C++. The main features of C++ that make it different than Care not discussed until Chapter 17, and then only briefly. No discussion isgiven in the book on performance issues in C++ vs Fortran. Seriousscientific programmers in Fortran have to face up to these issues and beconvinced that C++ is the way to go if they are to make the switch. Thebook might be useful to those who want a quick look at C++. ... Read more

Product Description

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.

The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ordinary differential equations, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter.

This advanced, graduate-level introduction to the theory and methods of numerical analysis supplies the necessary background in numerical methods so that students can apply the techniques and understand the mathematical literature in this area. Although the book is independent of a specific computer program, MATLAB^® code is available on the authors' website to illustrate various concepts.

Product Description
Although the application of reproducing kernel has been explored in different fields in the past twenty to thirty years and the relevant researches are active in the recent five years, there is still not a book on the application of reproducing kernel. This book attempts to introduce to the readers engaged in mathematical application these solutions, especially the constructing theory of the reproducing kernel space that the authors originally created and gradually improved. Reproducing kernel space is a special Hilbert space. The authors have been engaged in the constructing theory research of the reproducing kernel space since 1980's, and worked out a series of specific structural methods for reproducing kernel space and reproducing kernel functions. ... Read more

Product Description
This second edition of a highly successful graduate text presents a complete introduction to partial differential equations and numerical analysis. Revised to include new sections on finite volume methods, modified equation analysis, and multigrid and conjugate gradient methods, the second edition brings the reader up-to-date with the latest theoretical and industrial developments.First Edition Hb (1995): 0-521-41855-0First Edition Pb (1995): 0-521-42922-6 ... Read more

Customer Reviews (3)

Newer is not necessarily better.
This book could be viewed as an abridged/updated version of the classic earlier text by the author. However, it has significantly less content than the earlier book. I'm not sure what to make of this book. No overall consistent theme. Some topics treated in an ad-hoc manner. The book is ok if you already know the material, but I can see that it would be difficult and confusing for a beginner in this field.

It appears to me that this book was written in order to remove all of the rigorous mathematical details of the Richtmyer and Morton book on Finite Difference Methods. I would not use this as a text for any course in numerical PDE. As strange as this may sound, books on CFD tend to do a better job at numerical analysis but a poor job at CFD! I would shop around until you find something you feel comfortable with. This one just doesn't do it for me.

I did not like this book!
I felt that this book was not well written! A lot of material seems to be presented but never brought together to see the big picture. Trying to read this book I got very frustrated and had to resort to the interned for a lot of stuff.

Good Starter
This book is a good starter for understanding how to numerically solve (Partial Differential Equations)PDE's. The chapters are arranged in an orderly manner and hints are provided then and there so that you wont need to switch back and forth between them. I myself a researcher in the field of Finite Element Analysis, which extensively involves PDE's for implementing the Finite element model. A thorough knowlegde of PDE's and the nature of their solutions is very important for such fields. This book is definitely the one which describes the nature of PDE's solutions and their interpretation, boundedness and applicability. ... Read more

Product Description
* takes time to develop appropriate theory so that students appreciate the math behind the algorithms.* unusually comprehensive, having more content but less formal writing style than most of its competitors.* algorithms are developed in pseudocode (not FORTRAN or PASCAL).* Chs on approximating functions & numerical solution of de are exceptionally thorough; excellent coverage of splines and boundary value problems. ... Read more

Customer Reviews (1)

Liked the condition of the Book
The book was in good condition as previously claimed...the price is very low...so not much to complain about. ... Read more

Product Description

Customer Reviews (1)

Outdated
I guess this should be expected for a book decades old on a subject that was still settling out when Householder was writing this.

While it does give some thoughts on central concepts in Numerical Analysis, its treatment is far from the standard.I'm sorry to say this, especially with an author as great as Householder, but I personally thought Hildebrand was better.

Actually, if you're going to get a book as an introduction to Numerical Analysis, I would seriously suggest Gautschi's. ... Read more

Product Description

What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing students to utilize it as much as possible.

Customer Reviews (2)

Good, practical book for FDM applied to PDE
This is a book that approximates the solution of parabolic, first order hyperbolic and systems of partial differential equations using standard finite difference schemes (FDM). The theory and practice of FDM is discussed in detail and numerous practical examples (heat equation, convection-diffusion) in one and two space variables are given. In particular, Alternating Direction Implicit (ADI) methods are the standard means of solving PDE in 2 and 3 dimensions.
In almost all cases model problems are taken in order to show how the schemes work for initial value problems, initial boundary value problem with Dirichlet and Neumann boundary conditions.
This book is a *must* for those in science, engineering and quantitative financial analysis. It digs into the nitty-gritty of mapping a PDE to a FDM scheme while taking nasty boundary conditions into consideration. The resulting algorithms are documented are are easily programmed in C++ or other language.
The book does not cover topics that are also important: operator splitting (Marchuk/Janenko), non-constant coefficient PDEs, nonlinearities. Finally, the book uses von Neumann analysis as a means of proving stability (getting a bit long in the tooth). There are more robust methods that use monotone schemes, M-matrices and the maximum principle. You should consult other specialised references.
This is Volume I of a two-volume set (Volume II deals with Conversation Laws and first-order hyperbolic as well as Elliptic problems.

(...)

Numerical Partial Differential Equations
Thomas wrote a good book on a quite specialized subject.Although finite difference schemes have been traditionally viewed as a game field for physicists, they are given today much more commercial attention asfinancial option market evolves.Those who seek standard numerical recipesare advised to read this book.You will enjoy it (easy reading) and learn. But the book may not satisfy quests of a more rigorous readership.Itabuses the Fourier method in stability analysis while considering only PDEswith constant coefficients.The bibliographical work has not been done atall.In addition, the cover does not state that this is the first book oftwo.I'd also advise to read G.Marchuk "Methods of NumericalMathematics" (Springer, 1982) where a more general approach for stabilityof numerical schemes is developed. ... Read more

Product Description
Time-Frequency Analysis is a rich source of ideas and applications in modern harmonic analysis. The history of time-frequency analysis dates back to von Neumann, Wigner, and Gabor, who considered the problems in quantum mechanics and in information theory. For many years time-frequency analysis has been pursued only in engineering, but recently, and with the development of wavelet theory, it has emerged as a thriving field of applied mathematics.This book presents the first systematic introduction to time-frequency analysis understood as a central area of applied harmonic analysis, while at the same time honoring its interdisciplinary origins. Important principles are (a) classical Fourier analysis as a tool that is central in modern mathematics, (b) the mathematical structures based on the operations of translation and modulations (i.e. the Heisenberg group), (c) the many forms of the uncertainty principle, and (d) the omnipresence of Gaussian functions, both in the methodology of proofs and in important statements.Topics and Features: * Underlying thread throughout the book is the idea of a joint time-frequency representation and its conflict with the uncertainty principle * Unified and systematic introduction of the mathematical foundations of time-frequency analysis on the basis of classical harmonic analysis to obtain core results. * Emphasis of the interdisciplinary aspects of the subject and its connections to other disciplines within and outside mathematics. * new results in the modern theory of Gabor frames and the quantitative measurement of time-frequency content through the theory of modulation spaces * the role of pseudodifferential operators in time-frequency analysis. Mathematicians, physicists and engineers in signal and image analysis, will find an authoritative, systematic introduction to this active field of modern analysis and applications. Researchers and professionals in wavelets and mathematical signal analysis will also find the book a useful resource. ... Read more

Customer Reviews (2)

An Immediate Classic
This book is an essential tool for anyone working in
time-frequency analysis.It is so important that I bought
TWO copies - one for home and one for work.Hardly
a day goes by that I do not look into this book for some
gem which clearly explains a difficult topic. This is an
area with a tremendous amount of literature.Some of it
is written in such generality and obscure notation that one
cannot recognize even a familiar theorem in some of these papers.
This book contains all the best and clearest proofs of the
results.It also organizes this subject exceptionally well so
that it all finally ``flows'' the way it should.I could discuss
the book section by section to point out the important
points.But this review would then be as long as the book.
All I can say is that no one should even dream of working in
time-frequency analysis without having this book at their side.
From the moment it hit the shelves it was already the ``classical''
work in the area.And it will be that for a long time to come.
I thank the author for this significant contribution to the
understanding and enjoyment of my professional life.

long awaited mathematical introduction to time-frequency
This book fills a long-standing gap in the literature. While Gabor analysis is described on equal footing with wavelets in the early literature on the subject (in the late 80's) the book market on wavelets exploded, while no "serious" (from a mathematician's point of view) introduction to Gabor analysis was available. Maybe the impossibility of having orthonormal Gabor bases was the main reason for this situation (by the Balian-Low theorem).In 13 Chapters the author takes the reader from basic Fourier analysis and fundamental facts concerning the short-time Fourier transform and uncertainty to the foundations of Gabor analysis, i.e. Gabor frames, the structure of the Gabor frame operator, Zak transform methods, the role of the Heisenberg group and to functional analytic results describing the "appropriate" function spaces (so-called modulation spaces), playing here the same role as Besov spaces play with respect to wavelet expansions. Besides summarizing known results and proving things from scratch interesting applications (e.g. to pseudo- differential operators) are provided. The book should be of great interest to mathematicians (e.g. graduate students in analysis) as well as those applied scientist who want to read about the "foundations" of this field without having to consult dozends of original papers. A great book which will have its influence on the teaching of the subject in the years to come. ... Read more

Product Description
These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications. ... Read more

Customer Reviews (9)

Concise and clear
This is a very good book, and covers all the main issues. It is clear and rigorous. Some topics are covered in brief and additional references may be needed to fully understand the topic.

Decent mathematical oriented book
This book focuses on the basic theory for hyperbolic conservation laws and how they are solved using finite difference and finite volume methods. I have used this book as a text for a graduate seminar on this topic in an applied math dept. It's a good place to start if one has no prior experience in this field. When in I first starting working in this field, my boss ordered me to read this book and memorize it! However, it is weak when it comes to Riemann solvers and higher order methods. You will need to buy Toro's book for that. Also, there will be no explanation or use of real material equations of state. Only the ideal gas law is used.

Not Enough Detail
Good overview, but not enough information if you are actually trying to solve real problems.

Good book
this is a discrete book, but i expect more especially in the part of the stability and convergence of numerical methods. However i found a very good explanation of the mathematical concepts that are beyond the cold formulas. Thi is a text for undergraduate students, non a text for reserchers.

Quintessential Volume on Num. Methods for Cons. Laws
This book is organized into two main parts, the first of which deals with derivations of the conservation laws from physical principles, and theoretical treatment of such equations.The second part covers in detail the most popular (finite difference) schemes available for solving these PDE's and proofs on convergence.This book is really one I consider _the_ reference for conservation laws, and one I consult as a reference on a frequent basis.Easily accessible even if you are used to dealing mainly with elliptic systems. ... Read more

Product Description

This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been

Customer Reviews (2)

a satisfactory reference for basic theory
I have used this book as a reference for some basic theoretical material, and find it to be carefully formulated, at about the level of a junior or senior undergraduate who has a good math background.I also found the author's comments to be perceptive and helpful.I recommend the book as a reference, but think that this might not be a very suitable text for a course in numerical methods at the undergraduate level, due to its sophistication.
I consulted the book for some of the theory related to numerical analysis of ordinary differential equations.This is the topic of Chapter 11.Proofs are presented in a manner suitable to undergraduates, leaving out material that is perhaps important for a graduate student (I found myself writing out my own proofs for the main results) but somewhat peripheral for an undergraduate.Even so, the coverage in the book is wide-ranging, and would be satisfactory for a good introductory graduate-level course in numerical analysis.
The version of the text I was reading was the second edition, and of course with three authors, and a presentation that is fairly abstract and condensed, one realizes that there will be certain limitations.Personally, I find that I learn best when there is not only a clear presentation of material, but when there is substantial reviewing from each section to the next, when numerous, high-quality visual aids are employed, when there is some "down time", during which the discussion lightens up a bit, and also when context is made clear and a perspective is provided.In a deep reference like this one, where there is a bit of a scatter due to multiple authors and the fact that one is not dealing with a first edition, one must achieve these desirable goals on one's own, and supply, for example, the needed perspectives.This can, to put it mildly, be hard work.I am quite tolerant of that (and one actually expects it in much that is worthwhile), and of ambiguities, arising, for example, from differences in style of different authors.On the other hand, with a difficult and important book such as this, one finds that one can only dedicate limited time:Every moment can be precious.Therefore, I think that it is optimal to come to a book like this with some definite plan of which parts of the book one wants to study, and the particular context of the study.However, I do recommend this book as a reference, despite some notable deficiencies.
As a final comment on this book, I believe that there was an over-reliance on one particular (and somewhat dated) reference in the writing of the chapter that I read (Chap. 11 on numerical methods of ODEs), with the result that, while for the original reference (which was a book specializing in numerical analysis of ODEs) the organization was satisfactory, in a short chapter, as occurs in this book, that organization did not work very well.

Style of presentation is confusing; reads like a reference, not a learning book
This book appears to be very comprehensive, encompassing topics not usually found in the same volume, including numerical linear algebra, nonlinear optimization, numerical integration, and numerical solutions to ODE's and PDE's.The authors claim that this book is intended as a textbook for undergraduates wishing to engage in scientific computing, but the book's style of presentation is more appropriate for an advanced reference than a learning text.At the same time, the book is not thorough enough to be used as a reference.

In many chapters, the authors begin a topic in a general abstract framework, introduce concepts such as stability or convergence, and only later present specific methods and algorithms.The presentation and explanation of certain topics is very clear, but one has to skip around and sort through a lot of confusing nonsense to find the worthwhile parts of this text.Many ideas that could be expressed clearly in words are instead put in equation form where they are cryptic and unintuitive.The algorithms and diagrams are a little more useful and easier to understand, but often the book ignores discussion of the practicality of the various algorithms, and sometimes it ignores simple enhancements that have become common practice, instead only presenting algorithms in forms that are impractical and seldom used.

There is a wealth of other books covering much of the other material in this text.Where the material overlaps with Golub's "Matrix Computations", Golub's book is far superior, starting from a more basic level, covering the material in more depth, exploring more possibilities, and providing a much healthier dose of explicit algorithms.Trefethen's textbook "Numerical Linear Algebra" covers similar material in a much better fashion.The material on numerical optimization is covered in a much more readable fashion in the book by Nocedal and Wright, although that book definitely moves much slower.I can't say about the material on numerical methods for differential equations because it is an area I have not worked with.

This book might make a good reference for people who are already well-versed with many of the methods in this book and who wish to look up one topic here or there.However, I can say that I did not find it a useful text to learn the material from, and I doubt anyone would. ... Read more

Product Description
Hardbound. ... Read more

Product Description
This text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and engineering. These are illustrated with many practical examples. It includes the following chapters:

o Introduction to MATLAB
o Root Approximations and Partial Fraction Expansion
o Sinusoids and Complex Numbers
o Matrices and Determinants
o Review of Differential Equations
o Power Series
o Linear and Parabolic Regression
o Solution of Differential Equations by Numerical Methods
o Integration by Numerical Methods
o Difference Equations
o Gamma & Beta Functions and Distributions
o Bessel, Legendre, and Chebyshev Polynomials
o Optimization Methods

Each chapter contains numerous practical applications supplemented with detailed instructions for using MATLAB® and/or Microsoft Excel® to obtain accurate and quick solutions. ... Read more