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Editorial Reviews
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"When thinking about Oxford, don't forget the classics like The Theory of Functions by Titchmarch [sic] ... I love the old writing style ... should be on everyone's bookshelf."The Bulletin of Mathematics Books
About the Author
The late E.C. Titchmarsh was at University of Oxford.
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Most Helpful Customer Reviews
17 of 20 people found the following review helpful:
5.0 out of 5 stars
I earned my living from this book,
This review is from: The Theory of Functions (Paperback)
This is a book on complex analysis, followed by some measure theory. It is the complex analysis part which is superb. Titchmarsh is one of those rare authors that manage to motivate the results, get them with rigour and clarity and, especially, select theorems so well that you always find what you need for applications. It's like the famous short table of integrals in the famous, multi-edition, "Handbook of Physics and Chemistry". It was so wisely made that it was said that when you could not find in it the integral you needed, you probably went wrong somewhere. So is the venerable Theory of Functions. It is particularly good in asymptotic theorems like Phragmen-Lindelof's, or in the treatment of analytic continuation. But the whole book is a joy! When the Regge Pole theory appeared in particle physics, I published several papers that were not much more than transpositions of results from Titchmarsh to the language of particle physics. So I earned my living f! rom it, for some years.
6 of 6 people found the following review helpful:
5.0 out of 5 stars
WORTH THE HIGH PRICE!!!,
By A Customer
This review is from: The Theory of Functions (Paperback)
Many people would rather buy a Dover Book than this one, just because it is so high-priced. Most of the time, that is a good idea, but it isn't when it comes to THIS book. This book serves as an excellent complement to A Course of Modern Analysis by Whittaker and Watson (yes, together the two books are 135 dollars, but buy them BOTH). While Modern Analysis essentially covers the basics of the theory of functions before moving on to the greatest treatment of special functions ever written, this book by Titchmarsh expands tremendously upon the material in the first ten or eleven chapters of Whittaker and Watson's book. While Titchmarsh does not cover special functions in much detail (except for Dirichlet Series, which are not in Modern Analysis) he provides an EXCELLENT coverage of the general theory of functions, ranging from conformal representation to Fourier's theorem to Lebesgue Integration. Titchmarsh's treatment of the latter topic in particular is one of the best introductions to measure-theory I have EVER seen. Titchmarsh has not written a traditional "proof-theorem" book--rather, like Whittaker and Watson, he provides at least some motivation, intuitive or otherwise, for most of the concepts in this book. He manages to cover a huge ammount of material, and to cover it very well. Buy this book-it's worth even more than it's 75 dollar price.
5.0 out of 5 stars
Very readable. Very enjoyable.,
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This review is from: The Theory of Functions (Paperback)
This is a very very enjoyable book. I am sad to see that this style of writing Mathematics is no longer in vogue. I am studying this book along with the Whitaker & Watson's book, which is another excellent book. However, I sometimes find that the exposition is clearer in Titchmarsh's book. This book refers to Hardy's book, which is yet another classic.
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
100
books
cite this book:
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- The Theory of the Riemann Zeta-Function (Oxford Science Publications) by E. C. Titchmarsh on 5 pages
- Methods of Inverse Problems in Physics by Dilip N. Ghosh Roy on 4 pages
- Green, Brown, & Probability and Brownian Motion on the Line by Kai Lai Chung on page 12, page 107, and page 137
- Complex Analysis (Chapman & Hall/CRC Pure and Applied Mathematics) by Mario Gonzalez on page 76, page 283, and page 355
- Mathematical Methods for Physicists, Fourth Edition by George B. Arfken on page 409, and page 410
See all 100 books citing this book
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