Product Description

The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom.

- Fully searchable CD that puts information at your
fingertips included with text
- Most up to date listing of integrals, series and
products
- Provides accuracy and efficiency in work

Product Details

• Amazon Sales Rank: #308845 in Books
• Published on: 2007-03-09
• Original language: German
• Number of items: 1
• Binding: Hardcover
• 1200 pages

Amazon.com Review
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.

Review
The search engine is impressive...An important bonus is that you can copy TeX source for any formula or table to the clipboard and paste it into your own TeX documents, if you use the AMS-TeX macro package. Another bonus of the CD-ROM is that it comes with a generous license for up to five simultaneous users over a network."I've seen some Gradsheteyn-Rhyzhik fans open the book seemingly at random to the precise formula they need; but for the rest of us, the ability to do a fulltext search makes the CD-ROM the preferred way to have this mathematical standard at our fingertips."
--Barry Simon, California Institute of Technology, in DE
Among other additions, this edition includes expanded material on orthogonal polynomials, many results relating to theta functions, extra material on other special functions, greatly enlarged and revised tables of Laplace and Fourier transform pairs, and a short table on Mellin transform pairs.
--SCI TECH BOOK REVIEWS -- Review

Review
The search engine is impressive...An important bonus is that you can copy TeX source for any formula or table to the clipboard and paste it into your own TeX documents, if you use the AMS-TeX macro package. Another bonus of the CD-ROM is that it comes with a generous license for up to five simultaneous users over a network."I've seen some Gradsheteyn-Rhyzhik fans open the book seemingly at random to the precise formula they need; but for the rest of us, the ability to do a fulltext search makes the CD-ROM the preferred way to have this mathematical standard at our fingertips."
--Barry Simon, California Institute of Technology, in DE
Among other additions, this edition includes expanded material on orthogonal polynomials, many results relating to theta functions, extra material on other special functions, greatly enlarged and revised tables of Laplace and Fourier transform pairs, and a short table on Mellin transform pairs.
--SCI TECH BOOK REVIEWS

Customer Reviews

A fun book
I bought Gradshteyn & Ryzhik because I had to write an answer to some homework problem in some physics class that I took. The problem had contorted itself into a perverse elliptic integral and its recovery was beyond my means, so I went to the bookstore, looked for something fat and Soviet, and found this gem. I forked over the cash for it, figuring that it was a long-term investment.

I took it home and dutifully plagiarized some of its lines to satisfy my physics professor. For the next few months, that was the mode in which I used this book: read physics problem, translate into elliptic or hypergeometric beast, look up answer in G&R, cover up my tracks, get 9 or 10 points on the problem. Occasionally, I would own up to having looked something up.

The book served its purpose well. Subsequently, I studied some integrals of the spinning top that were more or less right out of Nikiforov's book on special functions (another excellent source for those of you that would like to "earn" a PhD), and G&R stood well by its side. Indeed, I discovered how much fun it was to look up an integral whose complicated solution had been derived elsewhere, and then to look for patterns by analyzing the immediate neighbors of the given integral on the preceding and subsequent lines in G&R.

After I was done with answering questions from physics professors, the book sat on the shelf taking up more room than several of its neighbors put together. Nonetheless, its binding was good, its typesetting clear, and its terse and copious stream of forbidding integral forms was pleasing to the eye.

Some time passed, and one day I asked myself just what would motivate anybody to write such a large collection, so I started rummaging through its pages looking for a pattern. I realized that its organization was excellent (which would explain why I was able to find the answers for my homework), and I also found some sections that were just plain fun. The very beginning lists some sums of infinite series that can be derived during lunch or while waiting for a friend at a cafe (e.g. sum of k^3 = [1/2(n)(n+1)]^2 ). Then one can read about numbers and functions named after Euler, Jacobi, Bernoulli, Catalan... each line, more or less, is cross-referenced, so after you have given up trying to derive that darned product representation of the gamma function, you can go to the book in the library and see how Whittaker did it.

After about 15 years of owning this book, I am nowhere near done with it. If you like math, and you want insurance against being bored, this book just might do the trick. As a bonus, it puts cute matrix stuff in the back (e.g. the "circulant") which one can read when desiring a break from the integrals. I know the book seems expensive, but think of if as spending about two bucks a year on it.

I see that one can now obtain a CDRom version of G&R. An intriguing option, specially because it outputs in TeX; but really, how can anyone resist the large, stubby charm of its paper version?

G&R can help you to deal with members of the opposite sex. I once used it to scare away a girlfriend that was becoming much too annoying, by pretending to be thickly engrossed in the process of memorizing every single integral in the "special functions" chapters. As for my mother, she was particularly proud of me when I showed her that I could actually understand "randomly selected" pages from this book (I don't suppose that I am giving anything away by remarking that books open naturally on sections that have been previously examined).

For those of you that are concerned about home security, G&R is also a weapon. Some people surround themselves with baseball bats or, if they are particularly reckless, a handgun or two... I prefer to keep a fully-loaded G&R by my pillow, which I can hurl at any prowler at a moment's notice. Its shape is surprisingly well adjusted to the hand for the purposes of hurling, and if the covers are bound by a rubber band, the book maintains its shape quite stably as it sails across the room. Sell your Smith & Wesson and buy yourself a Gradshteyn & Ryzhik. You won't regret it.

Gigantic, but well organized and highly accurate
Gradshteyn and Ryzhik is to the CRC Mathematical Tables as the unabridged Oxford English Dictionary is to Webster's Collegiate. Besides being big, it's easy to find things in, because of the way the integrals are organized into classes. Like any other integral tables, you'll probably have to make a change of variables or two to get your problem into a standard form, but since the classes are well covered, you have a big target to shoot for, so your chances of finding your integral tabulated are excellent.

An unscientific sampling indicates that this book has remarkably few errors. It really helped me through grad school.

7th Edition book includes the CD-ROM
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.