Table of Integrals, Series, and Products (Anglais) Relié – 28 octobre 2014
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Description du produit
Revue de presse
"...if you use this book frequently it’s definitely worth getting the new edition…" --MAA.org, November 2014
"The integrals are very useful, but this book includes many other features that will be helpful to the reader, especially graduate students. The sections on Hermite and Legendre polynomials are especially helpful for students of Electricity and Magnetism, Quantum Mechanics, and Mathematical physics (they won't have to hunt in several books to find what they need)." --Barry Simon, California Institute of Technology
"This book 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...It really helped me through grad school." --Phil Hobbs, Amazon Review
Présentation de l'éditeur
The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the first edition, published in 1965, the mathematical content of this book has significantly increased due to the addition of new material, though the size of the book has remained almost unchanged. The new 8th edition contains entirely new results and amendments to the auxiliary conditions that accompany integrals and wherever possible most entries contain valuable references to their source.
- Over 10, 000 mathematical entries
- Most up to date listing of integrals, series and products (special functions)
- Provides accuracy and efficiency in industry work
- 25% of new material not including changes to the restrictions on results that revise the range of validity of results, which lend to approximately 35% of new updates
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Commentaires client les plus utiles sur Amazon.com
This book is indispensible for any self-respecting Theorist or Mathematician: it's well-organised, time-proven, and has grown from just an integral table into an indispensible resource of a wealth of information. If the integral or special function property is not in here, you probably messed up the calculation. Plenty of useful information was added (about 20 pages): more parameter ranges, more integrals, plus corrections of typos. So I give a 5-star rating for the content that is in the book and for its sturdy binding which allows it to withstand attacks of frustrations and grow in years of service.
But 1 star rating for the new, 8th edition relative to the older ones. That's pretty harsh, so: Why? First, the editors chose to delete chapters 11 (Algebraic Inequalities), 13-16 (Matrices and Related Results, Determinants, Norms, Ordinary Differential Equations) and 18 (Z-Transform) -- altogether removing some 70 pages of information which has been there (and has been expanded upon) since at least the 5th edition (1996; I did not check for earlier ones). Some remaining Chapters are renumbered: old 12 to 11, old 17 to 12. That mans the reference numbers of some entries have changed, for the first time since at least the 5th edition. Granted, the book is called "Table of Integrals, Series, Products", so chapters on Matrices may not appear a natural content. That is the argument the editors give in the Preface, in one sentence, and without specifying what was removed. But that viewpoint is somewhat narrow: The book contains definitions and relations of Special Functions -- which are neither integrals, nor series, nor products. Indeed, that confinement of the title had already been broken in the very first, Russian edition. This is no more a compendium of All Things Mathematics: You need another book (most people will choose the NIST Handbook).
Second, the new version comes without the CD whih accompanied the hardcopy of the 7th edition. So if you do not want to carry around a heavy book all the time, you need to cough up another 60$ for the Kindle version, on top of what you just bought. Yes, I am that old-fashioned guy who usually find information more quickly in the hardcopy, but wants an electronic version handy for travel.
So, this is still an excellent book, but would the editors please return to the more encompassing ideas of the 7th edition -- and add at least a free .pdf to the hardcopy? NIST can do that; why not Gradshteyn/Ryzhik?