Schaum's Mathematical Handbook of Formulas and Tables

Book Description

Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables invaluable. They will see quickly why half a million copies were sold of the first edition! All the information included is practical -- rarely used results are excluded. Topics range from elementary to advanced-from algebra, trigonometry and calculus to vector analysis, Bessel functions, Legendre polynomials and elliptic integrals. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference!

Customer Reviews:

Mathematical Handbook of Formulas and Tables.......2007-09-25

A very useful book that gathers all the mathmatical formals 'as the title states. As an Engineering Student it is very helpful to have everything in one text instead of getting your old books and digging through them to find them.

Handbook of formulas and Tables.......2007-01-04

It is a good quick reference to getting formulas for math problems.

great reference.......2007-01-04

tables are concise with out missing any important integrals. the table is my constant companion for undergrad physics and mathematics.

one of the best.......2006-11-10

one of the best books i've ever got....
it has every thing i need

Very useful in a pinch.......2006-11-10

As a tabular summary of many useful mathematical relations, the book is very job-specific; however, it contains most of the functions and functional relations that a scientist or engineer might need. The layout is clean and very well organized. It's a useful reference, but does not actually derive anything, so if one is looking for derivations, then try looking at applied mathematics textbooks.

Schaum's Outline of Advanced Mathematics for Engineers and Scientists

Average customer rating:

Inexpensive complete mathematical reference book
A good overview but a little too broad in scope
essential for any scientist
A good review of topics
Great SOLVED examples, although the scope may be too large

Schaum's Outline of Advanced Mathematics for Engineers and Scientists
Murray R Spiegel
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback

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Similar Items:

Schaum's Mathematical Handbook of Formulas and Tables
Schaum's Outline of Advanced Calculus, Second Edition
Schaum's Outline of Vector Analysis
Schaum's Outline of Partial Differential Equations (Schaum's)
Schaum's Outline of Linear Algebra

ASIN: 0070602166

Book Description

This Schaum's Study Guide is the perfect way for scientists and engineers to master the tools of advanced mathematics for scientists and engineers. Fully stocked with solved problemsÑ950 of themÑit shows you how to solve problems that may not have been fully explained in class. Plus you get hundreds of additional problems to use for practice, with answers at the back of the book. Ideal for independent study, brushup before exams, or preparation for professional tests, this Schaums Guide is clear, complete, and well-organized. It's the perfect supplement for any course in advanced mathematics for science and engineering, and a super helper for the math-challenged. This SchaumÕs Outline provides a comprehensive review of advanced mathematical theory and methods youÕll really use in high-tech industries and scientific research.

Customer Reviews:

Inexpensive complete mathematical reference book.......2007-01-09

This is a great concise mathematical reference manual at a great price. I started using this book for reference to complex integrals in graduate school and have sinced used it as my primary mathematical reference sources for all the basic mathematical equations I learned while earning my engineering degree. I recommend it to my students (I teach at a university now) and frequently give it as a gift to graduating high school students (relatives and such) planning to pursue math or engineering related degrees in college. Note that it is a true reference manual and one needs to know how to use the equations in the first place in order to use the book. In many cases this requires coursework except for simple topics like equations for areas of different shapes, etc.

A good overview but a little too broad in scope.......2006-06-06

This outline covers just about all of the applied mathematics that upper level undergraduate and graduate engineers need to know to solve problems. It is a great reference, but its scope is so broad that you really can't use it for anything other than review. The author apparently recognizes that an outline this broad in scope cannot be that instructive either, and limits the introductory portion of each chapter to relevant tables and equations that an engineer/scientist must know to work problems. It is assumed you have other books to function as detailed tutorials. I have to say that the differential equations portions of this outline were far superior to the individual Schaum's outlines for those subjects. Also, the Fourier series and Fourier integral chapters were a bit too theoretical for most engineers, as many of the problems involved proofs or demonstrating properties rather than using the theory to solve problems. However, most chapters have a good mix of exercises - a few proofs, straight numerical problems, and applied exercises such as problems on circuit analysis, for example.

If you need a broad overview of the mathematics that an engineer must know from a problem-solving perspective, with small lessons on each topic, might I also suggest "Engineering Mathematics" and "Advanced Engineering Mathematics" by Stroud. Both of those books lead you by the hand and cover everything from high school through graduate school-level mathematics from an engineer's perspective. This outline would go great with those two books, as this outline can serve as a test of your comprehension of those two books by serving as a source of additional solved problems. I would suggest you get this book and keep it around as one of several good references on applied mathematics.

essential for any scientist.......2005-02-02

I bought this book for self study and it is amazing. For someone interested in furthering their mathematical knowledge and applying it to their research, it is a must have item. Especially because of its low price and the numerous solved exercises that one can follow and easily learn from. Covers everything from PDE's to conformal mapping and everything in between at an approachable level for non-mathematicians.

A good review of topics.......2002-08-26

This book goes through all the basics needed to master advanced mathematics. It covers differential equations; linear differential equations; Laplace transformations; vector analysis; multiple, line and surface integrals with the theorems; Fourier series and integrals; gamma and beta functions, Bessel functions, Legendre and othhogonal functions, partial differential equations, complex variables and conformal mapping, complex inversion formula (for Laplace transformations); and matrices. At the beginning is also a review of the basic terms and rules.

This is a good book to review to refresh your memory of what you studied in school. If you are in school now, this will be a good supplement. As with other books in this series, there are problems you can work to test your knowledge, but not all of them have the answers printed in the book. This is a little bothersome, but the book is still worth the investment.

Great SOLVED examples, although the scope may be too large.......1999-05-05

It's a perfect book for training and reference. Theory is very short, and instead, it contains a lot of examples with solutions. However, the field 'Advanced mathematics' is so wide, that presumably, a reader will only be interested in parts of it.

Schaum's Outline of Partial Differential Equations (Schaum's)

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Partial Differential Equations review
Good if you've forgotten
Not up to par with other Schaum's outlines on mathematics
Duchateau a poor teacher
It is a very good book

Schaum's Outline of Partial Differential Equations (Schaum's)
Paul DuChateau , and D. W. Zachmann
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback

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Schaum's Outline of Differential Equations, 3rd edition (Schaum's Outlines)
Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
Schaum's Outline of Advanced Calculus, Second Edition
Schaum's Outline of Advanced Mathematics for Engineers and Scientists
Schaum's Outline of Complex Variables

ASIN: 0070178976

Book Description

If you want top grades and thorough understanding of partial differential equations, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 290 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, SchaumÕs Outlines have sold more than 30 million copies worldwideÑand this guide will show you why!

Customer Reviews:

Partial Differential Equations review.......2007-01-04

I have found it helpful and inciteful with the more difficult differential equations that can be attempted.

Good if you've forgotten.......2006-04-22

This book contains mostly routine exercises of the subject. If you want to dig a bit further and sharpen your skills: try Krasnov's A Book of Problems in Ordinary Differential Equations. Language: English
ISBN: 5030009493

Not up to par with other Schaum's outlines on mathematics.......2006-04-21

This is one of the more poorly written Schaum's outlines I have encountered. The theory is very murky and the author gives no clear direction as to where he is going with this material and what it all means. PDE is a hard enough subject without working a bunch of meaningless problems that leave you wondering what it is you are supposed to have learned. Instead, I suggest you read "Introduction to Partial Differential Equations with Applications" by Zachmanoglou and Thoe in order to understand the mathematical underpinnings of PDE. Then read "Partial Differential Equations for Scientists and Engineers" to get a thorough feel for how PDE is used to solve real-world problems. Both books usually sell used for under $10 each, making them cost-effective alternatives to this Schaum's outline.

Duchateau a poor teacher.......2003-11-01

I have not read this book, but if it is anything like the author's previous attempts at writing it will leave you feeling angry. I read his advanced calculus book and it was awful. I found 16 mistakes on one page! This was the first book on advanced calculus I read and I was unable to follow the logic sequence. It wasn't until later after reading other books and mastering the subject that I discovered why. The examples were full of major errors. Not only that but he wastes a great deal of space repeating assumptions before each new section. As a result the actual material covered is sparse.

It is a very good book.......2003-06-15

This is a very good introduction to partial
differential equations.It contains the most
common methods in PDE namely: characteristics
method, Fourier method, Green method, finite
difference methods, variational methods and
finite element method. I have used it as a
textbook or suplementary text. It is really
an undergraduate text which provides a wide
introduction to PDE. I have a copy and recommend
it to every person interested in learning PDE.

Evolutionary Integral Equations and Applications (Monographs in Mathematics)

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Evolutionary Integral Equations and Applications (Monographs in Mathematics)
Jan Pruss
Manufacturer: Birkhauser
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817628762

Introduction to Calculus and Analysis Volume II/1: Chapters 1 - 4 (Classics in Mathematics)

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a superb book
More than an introduction
Absolutely beautiful!
simply the Best Calculus Book
You must have this.

Introduction to Calculus and Analysis Volume II/1: Chapters 1 - 4 (Classics in Mathematics)
Richard Courant , and Fritz John
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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Mathematics and its History

ASIN: 3540665692

Book Description

From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that."
Newsletter on Computational and Applied Mathematics, 1991
"...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students."
Acta Scientiarum Mathematicarum, 1991

Customer Reviews:

a superb book.......2006-04-05

This is a rewrite of the great book by Courant, and it does justice to its origin. I prefer the somewhat more charming original book of Courant myself, but I have taught from this one too and learned something more.

Since the original Courant costs $120 for the 2 volume set, this volume at $33 is a bargain, so snap it up. This is 10 times as valuable as most current $130 calculus books.

More than an introduction.......2005-12-15

Those books (volumes 1-2) can be seen as a new edition of Courant's classical Differential and Integral Calculus, volumes 1-2 (that can still be used for general calculus courses). The first volume was written while Courant was still alive, and the second was postumous. I believe that they are the best work to start understanding analysis. Indeed, for the general scientist (as a physicist) it contains all the theory needed for any application. The book is not easy reading though. Much of the text can be understood on first reading, but there are pretty profound sections, mostly on the appendixes, that turn the book genuinely onto a book of analysis. The second volume requires some mathematical maturity, and I doubt whether it is suitable for beginners, but it is simply the best book of multivariate calculus that I know - and it is really difficult to think of a better presentation. Courant was a giant, and his concept of mathematics shines in every page of those books (although he did not see the publication of the second volume, his hand can be seen in every page). For the serious mathematician, a must-have. For the beginner, the best way to get in love. Courant and John don't lie, they give every proof and guide you most gently in this complicated garden called mathematics. I'd give it aleph stars if it was possible.

Absolutely beautiful!.......2005-01-24

I give 5 stars to this book because in contrast with the majority of the calculus textbooks it gives the reader the perfect combination between rigor and intuiton. Another thing that I also like a lot is the fact that volume 2 has solutions to almost all the excercises, which is great because some of the problems are very difficult. I really think this book is a "must have".

simply the Best Calculus Book.......2002-08-12

An intuitive, rigorous and a beautifully conceptual approach to calculus is what distinguishes this book from the thousands of run-of-the-mill "Calculus I" textbooks published every year.

This is not surprising because 1) Courant and John were both important German-born mathematicians, both schooled in that great mathematical mecca, Gottingen, both making fundamental contributions to many classical branches of pure and applied mathematics. Courant is an especially important mathematician since he not only studied under the greats Minkowski and Hilbert - even serving as the latter's assistant - but founded the Courant Institute of Mathematical Sciences in New York, modelled on the Gottingen Mathematical Institute. 2) That typical German thoroughness and emphasis on the mastery of the "fundamental concepts", so dear to German textbooks, is evident in all sections of the book, particularly in the introductory material on the number continuum, functions, continuity etc.

The exercises at the end of chapters are substantial and excellent, and help to develop proof skills in students as well as a subtle mathematical intuition.

Mathematics is best learnt by studying books written by important mathematicians. Classic books like these should always serve to prove the truth of Abel's dictum that to master mathematics one should 'study the masters and not the pupils'.

You must have this........2002-05-28

My review of the first volume pretty much applies here as well. How many *calculus* texts have an introduction to complex variables, and the theory of analytic functions? This is the only one I've ever seen, and I don't think anyone else could make it more enriching than Courant. Useful material on vector calculus, the theory of matrices, and even introductory material on the *calculus of variations* (something we usually don't see at *all* in the undergrad curriculum) is included. It is refreshing to have an instructor like Courant, who doesn't assume we can't follow higher mathematical roads, but also doesn't sit at the other end of the spectrum, just waving a wand and "poof, here is the result".

Courant also published a standard reference work (also two volumes, I believe) on Mathematical Physics. While the level of mathematics required is post-grad, I was still able to read sizeable sections of it without getting lost.

Amazon.com

Very useful CD-ROM for all numerically inclined scientists and engineers. Produces TeX source code for selected formulas. Multiplatform-ROM for Mac, Windows, and UNIX.

Book Description

The Table of Integrals, Series, and Products is the major reference source for integrals in the English language. It is essential for mathematicians, scientists, and engineers, who rely on it when identifying and subsequently solving extremely complex problems.

The Sixth Edition is a corrected and expanded version of the previous edition. It was completely reset in order to add more material and to enhance the visual appearance of the information. To preserve compatibility with the previous edition, the original numbering system for entries has been retained. New entries and sections have been inserted in a manner consistent with the original scheme. Whenever possible, new entries and corrections have been checked by means of symbolic computation.

-Completely reset edition of Gradshteyn and Ryzhik reference book
-New entries and sections kept in orginal numbering system with an expanded bibliography
-Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.

Customer Reviews:

Excellent.......2007-07-20

Doesn't replace every other reference--but is pretty darn complete. I love that this 7th edition comes with the CD containing the complete searchable text for no extra charge.

7th Edition book includes the CD-ROM.......2007-03-07

After a 7 year wait, the 7th Edition of Gradshteyn & Ryzhik has finally been released! Other reviews speak to the tremendous utility of this classic. It is worth noting that the latest edition now INCLUDES a fully-searchable CD-ROM version of the book. However, I did notice a bug when using this on Windows XP SP2 with FireFox 2.0.0.2. (The CD-ROM is optimized for the Netscape browser and CANNOT be used with Internet Explorer.) Although I am able to click on the "Contents" button and navigate through the sections; and although I am able to go back to the title page by clicking on "Home"; when I click on the "Book Contents" button in the middle, FireFox freezes on me and I have to terminate the browser process.

Comments on an earlier edition.......2007-01-30

My copy of this book is the 4th edition, 1965. I still vividly
remember going to a bookstore in Berkeley, CA in 1971 and buying this
book for $10 (I also bought the "Feynman Lectures in Physics" on this
trip for $7.45 per volume). I also remember eating lunch at an
outdoor restaurant in Berkeley and having a fantastic view of the San
Francisco Bay Area, as it was an absolutely clear day. As a piece of
useless trivia, I had a liverwurst sandwich on a dark pumpernickel;
this is the first time I ever had liverwurst and fell in love with it!

This book is compendium of mostly integrals. What made it stand out
back then was its organization, making it relatively easy to look
up a particular integral. Most of the formulas come with a reference
to where the formula came from, should one desire to research things
a bit more. While it's not a panacea for dealing with all integrals,
you're likely to find something in here to aid in attacking most
problems.

Before using any of these integrals in an important problem, I'd
recommend you verify the formula first. Fortunately, this isn't
hard to do numerically with modern scripting languages like python,
accompanied by something like scipy, or a computer algebra system
such as Mathematica or Maple.

Integrals Series and Products review.......2007-01-04

I have found the book to be very useful and informative.

A gem.......2007-01-04

Let's keep this short and sweet. The book is probably THE best in what it claims to be, i.e. a compendium of mainly integrals, but all sorts of interesting stuff also manages to find its way in. Why some former reviewers exhaust their artillery in complaining about the CD is beyond me. This is a reference BOOK an as such unsurpassed. Buy it for sheer pleasure if for nothing else. While you're at it, you might want to take a look at Handbook of Mathematics by I. N. Bronshtein et al. which I ordered from Amazon in Germany a moment ago. That one also comes with a CD and I'm getting curious about how it will turn out to be. But Gradshteyn and Ryzhik - the BOOK - are a must.

Stochastic Integration and Differential Equations

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Stochastic Integration and Differential Equations
Philip E. Protter
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540003134

Book Description

It has been 15 years since the first edition of Stochastic Integration and Differential Equations, A New Approach appeared, and in those years many other texts on the same subject have been published, often with connections to applications, especially mathematical finance. Yet in spite of the apparent simplicity of approach, none of these books has used the functional analytic method of presenting semimartingales and stochastic integration. Thus a 2nd edition seems worthwhile and timely, though it is no longer appropriate to call it "a new approach".

The new edition has several significant changes, most prominently the addition of exercises for solution. These are intended to supplement the text, but lemmas needed in a proof are never relegated to the exercises. Many of the exercises have been tested by graduate students at Purdue and Cornell Universities. Chapter 3 has been completely redone, with a new, more intuitive and simultaneously elementary proof of the fundamental Doob-Meyer decomposition theorem, the more general version of the Girsanov theorem due to Lenglart, the Kazamaki-Novikov criteria for exponential local martingales to be martingales, and a modern treatment of compensators. Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery’s examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process). New topics added include an introduction to the theory of the expansion of filtrations, a treatment of the Fefferman martingale inequality, and that the dual space of the martingale space H^1 can be identified with BMO martingales. Solutions to selected exercises are available at the web site of the author, with current URL http://www.orie.cornell.edu/~protter/books.html .

Signal & Image Representation in Combined Spaces (Wavelet Analysis and Its Applications)

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Signal & Image Representation in Combined Spaces (Wavelet Analysis and Its Applications)
Yehoshua Zeevi , and Ronald Coifman
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0127778306

Book Description

This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools. The book covers variations of the windowed Fourier transform, constructions of special waveforms suitable for specific tasks, the use of redundant representations in reconstruction and enhancement, applications of efficient numerical compression as a tool for fast numerical analysis, and approximation properties of various waveforms in different contexts.

Differential and Integral Calculus (Wiley Classics Library)

Average customer rating:

Worth a look
great calculus book
Classical German calculus
Best Calculus book
Classical book

Differential and Integral Calculus (Wiley Classics Library)
R. Courant
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Paperback

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ASIN: 0471608424

Customer Reviews:

Worth a look.......2007-01-30

This work has an honored place on my bookshelf. A colleague
recommended it to me when I was in school and I bought a copy after
looking at it in the school's library. It sits next to my copy of
"The Feynman Lectures in Physics". These are works you go to for
insight. I like Courant's mixture of physical examples with the
mathematics.

After encountering Courant's book for the first time, I remember
wondering why the first volume wasn't used as the textbook for the
typical year and a half of basic calculus. Then, as now, I can only
conclude that teachers probably think it's not watered down enough for
the students. Maybe it's a blessing in disguise to come across
Courant after you've been taught calculus from an uninspiring "modern"
text.

Everyone's needs are different, so take all reviews with a grain of
salt. As a working scientist/engineer, my primary use of the calculus
is as a tool to get things done, so I'm typically more interested in
learning the mechanics than getting a deep understanding like a
mathematician would. Courant works for this, yet still allows one
to dig in deeper when desired. It's still an awfully good book, even
if it is 70 years old.

great calculus book.......2006-04-05

I agree whole heartedly with the other reviews here, and merely wish to second their opinions. I bought my copy in 1960 and would never part with it. I still have crystal clear images in my mind from courant's exposition of the 1-1 correspondence between points of the real line and infinite decimals, his comment that all absolute convergence tests result from comparing with a known convergent object - either the geometric series or an integral, and his preface emphasizing "the chief task" of one who would pursue the study of Science: acquiring a firm grasp of the application of general principles in particular cases.

I have studied and taught calculus, advanced calculus, real and complex analysis, Riemann surfaces, differential equations, and differential manifolds both real and complex, for over 40 years, but anyone who reads thoroughly these 2 volumes and masters them will know more calculus than I do.

I am a pure mathematician, and I believe these volumes are highly recommended not just to physicists and engineers, but to anyone who would master their subject. I also love the book of Spivak, but after teaching from them together one summer, and comparing proofs, I concluded that Spivak himself probably learned the subject from Courant.

Classical German calculus.......2005-12-08

Courant knows the art of writing a good preface. He attacks "diffuseness" and "pedantry" and aims at "exhibiting the close connection between analysis and its applications" and "to give due credit to intuition as the source of mathematical truth". The book also has a tone that is unusual today: Courant speaks to us the way a dignified, open-hearted professor speaks to an intelligent student. No rambling pretensions; just to-the-point, good mathematics. This is the perfect solid-as-they-come, timeless book on the calculus, and most likely it will never be surpassed in this domain. One must be warned, however, that this is a very serious book and reader-friendliness has lower priority than technical coherence and brilliance of formal organisation. The likely reader will know calculus already and use Courant for masterful, concise exposition of standard topics as well as a wealth of topics that have been watered out of most current calculus curricula (e.g., evolutes, involutes, envelopes, curvature, geodesics, centres of mass, the gamma function, the catenary, the cycloid, the lemniscate, the brachistochrone problem, Kepler's laws, Maxwell's equations, the zeta function, etc.). Everybody knows that all the usual calculus books, "reform" or not, are pathetic. But what is even worse is that there are no good alternatives even if one is prepared to dig deep into the library shelves in hope of finding an author who has not sacrificed his intellectual dignity at the altar of royalties. Take for example Serge Lang's books "A First Course in Calculus" and "Short Calculus". Lang is of course the virtual definition of the mainstream of respectable mathematics. Nevertheless, these books are soaked with the common formalistic attitude. In fact, as if his books had not finished the job, Lang adds an appendix to both books called "Physics and Mathematics", which very explicitly drives a wedge between physics and intuition and mathematics. Courant is a good antidote to such modern nonsense.

Best Calculus book.......2003-12-10

This is the best calculus text for aspiring physicists as well as applied mathematics students. However, don't know why Amazon sent the book with different front cover to me. It's not the one shown in the picture but rather a black cover--exactly the one seen on barnesandnoble with the same isbn. Although the covers are different, the content is the same.

Classical book.......2002-06-08

I will not say, as is common in reviewers of books on calculus, that this is the best book of calculus that there is. Indeed, calculus is a subject with so many textbooks that it can be said that there is no best textbook, but that each person can find one that suits his/her needs.

Nonetheless, Courant's book is an old text, around 70 years old. It belongs to these classics of science that were influential and held its own as a source of common knowledge. Why?

I believe that the answer to this question is simple: Courant's book has the perfect balance between theory and applications. It does not use too much pedantry in its exposition, is full of examples (for the student to do and also some worked-out), ranging from simple to very difficult, and yet it proves everything that is important in a way that no mathematician can complain. Indeed, the authors leaves the most difficult demonstrations to appendixes that can be found in each chapter, so the reader that doesn't want to enter into the complications of the proofs can skip them. And the book is written in a conversational style, that much probably influenced the book that, in my humble opinion, is the best that can be found treating the subjects it treats (so I also have my favourite calculus text: Spivak's Calculus!).

There are two volumes, the first one dealing mainly with calculus of one variable and the second with multivariate and complex analysis. It contains the core of the mathematical theory useful for physicists and engineers and has this that is amazing: it develops the theory and always gives good physical examples. Indeed, a whole course of theoretical physics is contained in this book, almost hidden.

So, if someone is reading this review and is in doubt whether the book is good or not, I can say, with the experience of having read a long list of calculus texts, that the book is good and is worth-while. It is useful to the mathematician and to the engineer, to the philosopher and to the physicist, and serves extremely well both as a text book for class study, self-study and for reference. If you are worried that the treatment is dated, I can say that, although today the most common treatment of, say, multivariate calculus is through linear algebra, that leaves the subject much cleaner, Courant's work still is of value in that it explains everything in as simple way as possible, mantaining always ahead the objectives of each section. It is essentially a book of applications of analysis and if you read and work the examples, you will turn yourself into an expert both in theory and application and will be able to follow easily any work that has classical analysis as prerequisite.

Book Description

A comprehensive, up-to-date, and accessible introduction to the numerical solution of a large class of integral equations, this book builds an important foundation for the numerical analysis of these equations. It provides a general framework for the degenerate kernel, projection, and Nyström methods and includes an introduction to the numerical solution of boundary integral equations (also known as boundary element methods). It is an excellent resource for graduate students and researchers trying to solve integral equation problems and for engineers using boundary element methods.

Customer Reviews:

A Good Introductory Text at the Graduate Level.......1999-11-25

Atkinson's book is a good introduction of the material. The book is written is such a way that someone who is familiar with Galerkin finite element methods for partial differential equations can quickly gain some understanding of numerical methods for this class of integral equations. For a more complete review, see Ian Sloan's review in the March 1999 issue of SIAM Review.

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