This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the reader’s convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book.

For each notion a clear motivation is given for its study, answering the question ‘Why do we consider such objects?’, and the theory is developed in a natural way that mirrors its historical development (e.g., ‘If there is such and such an object, then you would surely expect this one’). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations.

Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts.

About the Author

Takashi TAKEBE is a professor at the Faculty of Mathematics, National Research University Higher School of Economics, Moscow. He studies integrable systems in mathematical physics, especially integrable nonlinear differential equations, their connection with complex analysis and solvable lattice models in statistical mechanics related to elliptic R-matrices.

"About this title" may belong to another edition of this title.

Store Description

BooksRun helps to save money on textbooks. We are committed to providing each customer with the highest standard of customer service. Please pay close attention to the description of the book and its condition you are ordering. If you have any questions or issues, please make sure to contact us first so we could resolve them. All orders are shipped on the same or the next business day. It usually takes 1 to 5 business days to receive your item if you choose expedited shipping. All orders submitted are eligible for a return within 30 days after the delivery. Thanks for shopping with us!

Visit Seller's Storefront

Seller's business information

AZ Texts LLC
228 Park Ave S Suite 38827, New York, NY, 10003, U.S.A.

Sale & Shipping Terms

Terms of Sale

30 days hassle-free returns guaranteed!

Right of cancellation

Shipping Terms

Shipping rates from U.S.A. to United Kingdom

Shipping rates from U.S.A. to United Kingdom
Order quantity	6 to 15 business days	3 to 10 business days
First item	� 4.47	� 15.66

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.