Elliptic Functions According to Eisenstein and Kronecker

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Author :
Release : 1999
Genre : Mathematics
Kind :
Book Rating : 362/5 ( reviews)

Elliptic Functions According to Eisenstein and Kronecker - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Functions According to Eisenstein and Kronecker write by Andre Weil. This book was released on 1999. Elliptic Functions According to Eisenstein and Kronecker available in PDF, EPUB and Kindle. Drawn from the Foreword: (...) On the other hand, since much of the material in this volume seems suitable for inclusion in elementary courses, it may not be superfluous to point out that it is almost entirely self-contained. Even the basic facts about trigonometric functions are treated ab initio in Ch. II, according to Eisenstein's method. It would have been both logical and convenient to treat the gamma -function similarly in Ch. VII; for the sake of brevity, this has not been done, and a knowledge of some elementary properties of T(s) has been assumed. One further prerequisite in Part II is Dirichlet's theorem on Fourier series, together with the method of Poisson summation which is only a special case of that theorem; in the case under consideration (essentially no more than the transformation formula for the theta-function) this presupposes the calculation of some classical integrals. (...) As to the final chapter, it concerns applications to number theory (...).

Elliptic Functions According to Eisenstein and Kronecker

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Author :
Release : 1999
Genre : Elliptic functions
Kind :
Book Rating : 667/5 ( reviews)

Elliptic Functions According to Eisenstein and Kronecker - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Functions According to Eisenstein and Kronecker write by André Weil. This book was released on 1999. Elliptic Functions According to Eisenstein and Kronecker available in PDF, EPUB and Kindle.

Elliptic Functions and Elliptic Integrals

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Release : 1997-09-16
Genre : Mathematics
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Book Rating : 805/5 ( reviews)

Elliptic Functions and Elliptic Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Functions and Elliptic Integrals write by Viktor Vasil_evich Prasolov. This book was released on 1997-09-16. Elliptic Functions and Elliptic Integrals available in PDF, EPUB and Kindle. This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.

Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

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Release : 2019-01-30
Genre : Computers
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Book Rating : 807/5 ( reviews)

Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory write by Johannes Blümlein. This book was released on 2019-01-30. Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory available in PDF, EPUB and Kindle. This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.

Elliptic Functions

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 440/5 ( reviews)

Elliptic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Functions write by Komaravolu Chandrasekharan. This book was released on 2012-12-06. Elliptic Functions available in PDF, EPUB and Kindle. This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.