Product Description

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

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The Student Solutions Manual and Study Guide contains worked-out solutions to selected exercises from the text. The solved exercises cover all of the techniques discussed in the text, and include step-by-step instruction on working through the algorithms. ... Read more

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An essential subject for students in mathematics,computer science, engineering, and science.The 19 chapters coverbasic, as well as advanced, methods of numerical analysis.A largenumber of related applications are included. ... Read more

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Numerical Methods with VBA Programming provides a unique and unified treatment of numerical methods and VBA computer programming, topics that naturally support one another within the study of engineering and science. This engaging text incorporates real-world scenarios to motivate technical material, helping students understand and retain difficult and key concepts. Such examples include comparing a two-point boundary value problem to determining when you should leave for the airport to catch a scheduled flight.Numerical examples are accompanied by closed-form solutions to demonstrate their correctness. Within the programming sections, tips are included that go beyond language basics to make programming more accessible for students. A unique section suggest ways in which the starting values for non-linear equations may be estimated. Flow charts for many of the numerical techniques discussed provide general guidance to students without revealing all of the details. Useful appendices provide summaries of Excel and VBA commands, Excel functions accessible in VBA, basics of differentiation, and more! ... Read more

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This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the book. This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, or the sciences.

Nonlinear Equations, Linear Systems, Iterative Methods, Polynomial Interpolation, Numerical Integration, Differential Equations, Nonlinear Optimization, Approximation Methods

For all readers interested in numerical analysis and scientific computation.

Customer Reviews (4)

shipping
The item was suppose to shipped on august 30 or 31, but today is september 5th.It was not shipped so far.the seler did not even reply my e-mail.It is terrible customer service.

Excellent condition
Book was received ahead of time and in excellent condition. Would buy from this seller again!

Great Reference and true Matlab Tutorial
I took Numerical Analysis from Professor Leader before he published this book.He gave all his students in the class his latest draft free of charge.(Which I thought was rather kind of him).I was only a sophmore at the time and a lot of the analysis went over my head, but the Matlab sections were great and have set me up for a lot of Matlab programming that has come my way ever since.

As they say Practice and theory are the same in theory, but in practice they aren't.This is all too true for numerical analysis.Leader approaches theory and practice, making both clear.(Though, reader here be warned, some theoritical parts are somewhat thick especially without proper analysis background.)

I am currently taking a slightly higher level Numerical Analysis class than the one Leader taught.The book required for the course is "Numerical Analysis," which isn't well written (essential steps are missing, things are skipped, theory isn't well explained, and the "practice" is practically non-existant in the book), so I pulled out Leader's book and found the information I needed to understand for the course and do the homework.(And the programming for the course isn't that difficult since I already have that down from Leader's book.)Leader's book has been a great reference.

Another good book in the field is Numerical Methods for Unconstrained Optimization and Nonlinear Equations by J.E. Dennis Jr, and Rober B. Schnabel. (A classic in Applied Mathematics.)

In short, Leader's book is good, and Leader is a good guy.

I highly recommend the book.

text reflects decades-long trends in computing
Leader has written this book to reflect several trends in maths during the last 20 years. One has been the rise of symbolic algebra, as exemplified by the success of such packages as Mathematica and Maple. A student who uses those to get analytic solutions to problems might simply fail to appreciate any compelling need for numerical analysis. Thus Leader offers examples of when such symbolic algebra methods fail, and numerical methods are necessary. His examples are good, but I'm not sure they will suffice for some students. Because if a maths student does not appreciate numerical analysis, even before taking any course in it, then is this merely inexperience, which Leader addresses in the book. Or it is that the student is simply not very bright? If the latter, then the book's efforts might be futile.

Another trend which the book reflects is the ready availability of powerful maths packages that can perform numerical analysis. He chooses to use Matlab. Indeed, if you are already facile in this field, but need to thoroughly learn the capabilities of Matlab, you can use the book as a field guide.

It is this which is the main qualitative difference between the book and those of the 70s and 80s, from which I learned the subject. There is now less need to give examples of source code for, say, applying Newton's Method of root finding. Because Matlab (or equivalent packages) already implement the method. Soyou can concentrate on higher level issues.

The order in which he presents various subjects seems logical enough. Though you should not necessarily feel bound by this. Most chapters can be read in any order. One apparent curiosity is how the first chapter is on nonlinear systems. While the second and third chapters are on linear systems. Most texts reverse the order, since linear systems are typically considered simpler, and their analysis can usually be taken much further.

It should be said that the nonlinear equations in chapter 1 are actually quite simple. And they let Leader easily introduce such ideas as the above mentioned Newton's Method. ... Read more

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An engineer’s guide to numerical analysis

To properly function in today’s work environment, engineers require a working familiarity with numerical analysis. This book provides that necessary background, striking a balance between analytical rigor and an applied approach focusing on methods particular to the solving of engineering problems.

An Introduction to Numerical Analysis for Electrical and Computer Engineers gives electrical and computer engineering students their first exposure to numerical analysis and serves as a refresher for professionals as well. Emphasizing the earlier stages of numerical analysis for engineers with real-life solutions for computing and engineering applications, the book:

• Forms a logical bridge between first courses in matrix/linear algebra and the more sophisticated methods of signal processing and control system courses
• Includes MATLAB®-oriented examples, with a quick introduction to MATLAB for those who need it
• Provides detailed proofs and derivations for many key results

Specifically tailored to the needs of computer and electrical engineers, this is the resource engineers have long needed in order to master an area of mathematics critical to their profession. ... Read more

Product Description
This book was originally published in 1977 and has since been reprinted four times (the last reprint was in 1984). The current volume is reprinted and fully retypeset by the AMS. It is very close in content to the 1984 edition. The book presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. The relevant mathematical tools are introduced at each stage.

The new material in this book is Appendix III, reproducing a survey article written in 1998. This appendix contains a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. Readers are advised to peruse this appendix before reading the core of the book.

This book presents basic results on the theory of Navier-Stokes equations and, as such, continues to serve as a comprehensive reference source on the topic. ... Read more

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Hardbound. ... Read more

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This book treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. The chapters contain numerous exercises.

Introduction to the Numerical Analysis of Incompressible Viscous Flows provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester.

Audience: This unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations. ... Read more

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This book is also available through the Introductory Engineering Custom Publishing System. If you are interested in creating a course-pack that includes chapters from this book, you can get further information by calling 212-850-6272 or sending email inquiries to engineer&atsign;jwiley.com. Designed to cover scores of numerical techniques (including statistical methods) encountered by engineers and technologists. Pedagogically sound it uses a conversational style and contains highlighted key words and end-of-chapter summaries along with method summary, pitfalls and recommendations for choice of techniques. 800f the worked examples and case studies are based on applied problems. A complete chapter on design features problems relevant to using this tool in engineering practice. Offers over 40 pseudocodes for implementing methods discussed. ... Read more

Customer Reviews (1)

Good text for an undergrad class
A very hands-on, applied bent to this book. Designed explicitly to cater to engineering undergraduates, it forsakes strict mathematical rigour for what is more useful to engineers. Namely, there is emphasis on numerous examples, that are fully described. So much so that they may be considered case studies.

The theme is one of a pragmatic approach to using statistics in an engineering context. Many algorithms are not presented as actual code in some computer language, but as pseudocode. This may be of use to an instructor wondering whether to use this book or not. The pseudocode readily lends itself to assignment problems where the student has to implement it in some actual source code. This has a moderate level of difficulty, and would be reasonable problems to assign. Each should not take more than a few hours (3?), assuming that the student is already competent in a computer language. ... Read more

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The fifth edition of Numerical Methods for Engineers continues its tradition of excellence. Instructors love this text because it is a comprehensive text that is easy to teach from. Students love it because it is written for them--with great pedagogy and clear explanations and examples throughout. The text features a broad array of applications, including all engineering disciplines.

The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Users will find use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros.

Approximately 80% of the problems are new or revised for this edition.The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. ... Read more

Customer Reviews (20)

Good stuff
This book came in great shape and I'm able to use it quite well for class. Real happy with it.

Numerical Methods Book
This book came very fast and was in mint condition, I was very impressed with speed of deliver and quaily of book, it was still in its plastic.

Great Book
I really like this book. I am teaching Programming Applications for Engineers and it is perfect. It uses advanced Excel Power tools and MATLAB, both of which we use, and its examples are from all walks of engineering careers. It is clearly written, explains the mathematical model behind the numerical method. I can't get enough of using it.

Clear, well written book
The authors use a very pedagogical approach. The objectives for each part are well identified, the explanations are intuitive, and there is a lot of engineering applications and exercises. This book is hence suitable for an undergraduate course or as a starting point in the subject.
However, if you are searching for long mathematical demonstrations or advanced mathematical aspects (this was not my case), this is not your book.

Very Good
Book is very good. it has many numerical methods explained very simply.
I would recommend this book to all civil engineer scientist, and also students who found numerical methods interesting to study, and to use it for application to real world.
I would gave this book a 5star mark but i gave it only 4 because price. I also believe that the price is too high. ... Read more

Product Description
Numerical simulation is essential to electrical engineers working in antenna design, wireless communications, optical systems, and a host of other areas. This new applications-focused book provides engineers with state-of-the-art methods for predicting simulation accuracy, worked-out results for dozens of real-world problems, the latest accuracy-improving techniques, and detailed guidance for all parameters required to optimize numerical simulations. Bridging the gap between abstract academic treatments and practical engineering needs, this timely work introduces various surface integral equation formulations, approaches to discretizing the integral equations, and measures of solution accuracy. All told, this definitive resource is indispensable for all engineers and software developers working with computational simulation tools in electromagnetics and wave propagation. ... Read more

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This is the greatly revised and greatly expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing.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, this new edition remains the most practical, comprehensive handbook of scientific computing available today.Highlights of the new material include:-A new chapter on integral equations and inverse methods-Multigrid and other methods for solving partial differential equations-Improved random number routines -Wavelet transforms -The statistical bootstrap method-A new chapter on "less-numerical" algorithms including compression coding and arbitrary precision arithmetic.The book retains the informal easy-to-read style that made the first edition so popular, while introducing some more advanced topics.It is an ideal textbook for scientists and engineers and an indispensable reference for anyone who works in scientific computing. The Second Edition is availabe in FORTRAN, the traditional language for numerical calculations and in the increasingly popular C language. ... Read more

Customer Reviews (10)

It's Still On My Top Shelf
I've had this book for a long time and, unlike some other's copies, it's still intact. The exposition is so well done that I occasionally read passages just for
entertainment (a rarity for me). I am now implementing some routines from the
f90 "second edition" and expect to get faster results (but can't confirm that yet).
On the irritating "licencing" issue: Some years ago my company attempted to "do the
right thing" and obtain a site license for some of the f77 routines. We never got
a response back! I have a hunch that some lawyers wrote the licensing text but that
maintaining a licencing infrastructure was too much trouble Press et al to bother with. I've encountered a similar non-response when trying to license some songs
from song writers for a limited release DVD.

It may be a pig, but it's OUR pig.
First, I want to weigh in on the general controversy over Press et al.'s treatment of the code as proprietary.This is a joke and I think was basically intended as such.A lot of the odd job programming world still works on the honor system, and it works, because enough of us respect what is done right and we respect other people's labor.But if you've already plunked down your $60 for the book, and you have a program that in some sense you are paid for (not that you're Adobe or someone big), they expect you to be crawling to them for permission to use a single routine.And yet these routines make use of other routines that I really doubt they wrote.I see the same basic code floating around a number of places.And for some things, it's so straightforward it seems crazy to say that it is "their" routine.

At the same time, the code is clear, well explained with examples, and--most important--easy to modify.Given a choice between two versions, one which was elegant but a bit confusing and one that was straightforward, they did the second.

Given that there's a new edition, and that we are 30 years past FORTRAN 77, you might wonder whether this book should still be in circulation.But there are a lot of industrial machines that are still running programs written in 77, say for process control, and it's nice to be able to alter them as opposed to starting from scratch.For example, you might find that a minimization routine actually can help for a program running the control of a valve in a mixing vat.Some of these routines are slow, but my attitude is, that just gives you more time to drink your coffee and look around, though of course, you might not like what you see. [12]

Outstanding reference book on numerical algorithms
This is the single best book that I have found for teaching numerical methods in science and engineering to upper division undergraduates and graduate students.Students often comment that this should be the selected text even in the programming course because it provides both an overview of the methods and examples that demonstrate the application.The discussions are excellent and the Fortran 77 programs easy to follow even if one is more familiar with C or C++.You should not purchase the Fortran 90 version of this book without getting this book as well because the Fortran 90 book does not contain the excellent discussion of the methods and procedures.Rather it references this book for discussion and simply provides the F90 versions of the routines.

Proprietary source the Achilles' heel for non-students
I first bought this text in 1994 while doing scientific programming for graduate school work. A fellow graduate student had suggested I use an undocumented routine that (I later discovered) came from Numerical Recipes (NR). I was impressed enough with NR's presentation of ideas that I also bought the example book ISBN 0521437210 (which I've hardly cracked since) and a diskette of source code (which cost as much as the book but worth it). I was able to do a lot of basic research quickly with NR code, and I still occasionally use NR's routines.

The authors have certainly done a good job assimilating a lot of material. Since other reviewers have done well to highlight the importance and utility of this landmark book, there is no need to repeat those sentiments here. However, to this title's detriment, the authors consider their book to be a proprietary library of source code more valuable than the explanatory text discussing it (one can in fact download the text on-line though it's hardly worth the hassle). This perception is ironic since the authors confess that "the lineage of many programs in common circulation is often unclear" (p.xviii), and many details ofpresentation, ideas, and algorithms are clearly "borrowed" from other excellent (some now out-of-print) numerical methods books or journals.

I often wondered why NR routines occasionally adopted bizarre and/or obviously inefficient programming structures - over time I decided that this was probably done to make these algorithms appear as so not to clearly violate other published material. As a student, NR's legal disclaimers regarding derivative works (p.xvi) never bothered me and I was willing to overlook the sometimes unpolished source code insofar as it functioned properly. However, as a professional I now find the lack of fair-use provisions on the uncompiled source way too restrictive to rely on these routines in good conscience (I have to buy another textbook or license for every soft copy or machine upon which the source code resides!). I suspect this policy ultimately hurts NR's textbook sales: it would be nice to able to use and pass along the source code between professional colleagues without restriction because most would certainly buy (if they don't already own) the textbook to understand what the source does (just as I did). Source code used in scientific programming is practically worthless without proper documentation, and there's no better documentation than a full length textbook!

I have since expanded my numerical methods library to other references supporting true public-domain codes. With an expanded basis of comparison, I regret to say that I am becoming less and less impressed with NR's implementations and explanations. I am finding many of NR's algorithms to be inefficient or unnecessarily approximate, and - on rare occasion - buggy. There have been quite a few bugs uncovered over the years, and the NR web site has done a good job of keeping track of them (although I know of at least one bug uncorrected by NR to this day).

This book is excellent for students wanting a good reference for quick and dirty types of analyses or scientific computing. Professional programmers, scientists, engineers, specialists or analysts performing software development for laboratory or scientific research would be well advised to reference this title, but ultimately they will likely need to rely other resources if they require efficient and/or unrestricted (public-domain) source codes for their work.

(P.S. - A reviewer elsewhere noted that the "quality of the binding was terrible" and I've also found this to be the case. My hardcover is literally had to be taped on after a few years of use.)

A Useful Tool for Programmers, Researchers, and Students
This book contains hundreds of "canned codes" in the FORTRAN language.The book provides several variations of many popular numerical techniques and provides the most stream line (comp. time) codes available.Most codes allow for optimization to be build in, such as an RK4 (4th Order Runge-Kutta) with variable steps sizes.Great if you don't want to write your own code for a subroutine, or it you just don't know the method well enough to write it yourself. The book also provides some basic explaination of the techniques and codes with is very helpful so that the code is less of a black box, although its not that detailed.

There is also a CD available that has the codes already written and ready to go.I prefer to type it in on my own, or just make my own because it gives a better udnerstanding of what the code is doing.The biggest turn-off for me is that some codes have subroutines upon subroutines which can make things a mess.

All around a useful tool for programmers, researchers, and students. ... Read more

Product Description
This text, based on the author's teaching at Ecole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method;variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems;optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the physical sciences. ... Read more

Product Description
This book by a renowned structural engineer offers comprehensive coverage of both static and dynamic analysis of plate behavior, including classical, numerical, and engineering solutions. It contains more than 100 worked examples showing step by step how the various types of analysis are performed. ... Read more

Customer Reviews (3)

Theories and Applications of Plate Analysis: Classical Numerical and Engineering Methods
Excellent for every person involved with analysis, applications and/or theoryof plates - not necessary for structural in civil, also applied to frame on off road equipment.
Extremely well written. RECOMMENDED!
Theories and Applications of Plate Analysis: Classical Numerical and Engineering Methods

Excellent Text & Reference Book
A most comprehensive book (text and reference) dealing with all aspects of plate analysis that can be used to solve practical plate problems in civil, structural, architectural, mechanical, aerospace, marine and mining engineering. Easy to read with many easy to follow examples. Math knowledge is relatively modest, only a familiarity with algebra, calculus & matrix operations is required. Every solution and technique presented is critically evaluated for efficiency and accuracy and compared to other methods. The handy accompanying CD has 170 plate formulas and a finite element model for static and dynamic analysis of moderately large plate problems. This is a must for your reference library. Take advantage of Dr Szilard's vast knowledge and wonderful writing style. This book should be considered for using as a primary text for college engineering classes.

Review of the titled "Theory and application of plate analysis -Classical and Numerial Methods "- by Rudolph Szilard
Author has collected a significant array of various plate problems and presented them in one literature which is surely a very commnedable effort.
Engineers and Scientists working in the area of various plate problems would find this literature of immense help, wherein they will not have to rummage through various publications to find out typical solution to the problem he is looking for.
However it is felt that some of the basic derivations( specially the classical part) are a bit too brief and further elaboration could have benefitted specially those, who are new to the topic and not so comfortable with fourth order differential equations related to the plate.
An elaboration( even a brief one) on Dynamic response of plates on elastic foundations and some of the work carried out in this area by Thomson and Kobori, G.Warburton to name a few would have made the book more complete.
Over all a very good monograph as a quick reference to plate problems for both practicing engineers and researchers. ... Read more

Product Description
Hardbound. This book size article is dedicated to the numerical simulation of unsteady incompressible viscous flow modelled by the Navier - Stokes equations, or by non-Newtonian variants of them. In order to achieve this goal we have developed a methodology based on the following tools:

(i) Time discretization by operator splitting schemes such as Peaceman - Rachford's, Douglas - Rachford's ,Marchuk - Yanenko's, Strang's symmetrized, and the so-called theta - scheme introduced by the author in the mid - eighties.

(ii) Projection methods (in L2 or H1) for the treatment of the incompressibility condition div u = 0.

(iii) Treatment of the advection by: either a centered scheme leading to linear or nonlinear advection - diffusion problems solved by least squares / conjugate gradient algorithms, or to a linear wave - like equation well suited to finite element based solution methods. ... Read more