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Elliptic Functions And Elliptic Integrals

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Elliptic Functions And Elliptic Integrals

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Author : Viktor Vasil_evich Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-09-16

Elliptic Functions And Elliptic Integrals written by Viktor Vasil_evich Prasolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-16 with Mathematics categories.

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.

Handbook Of Elliptic Integrals For Engineers And Physicists

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Author : Paul F. Byrd
language : en
Publisher: Springer
Release Date : 2013-11-21

Handbook Of Elliptic Integrals For Engineers And Physicists written by Paul F. Byrd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.

Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transeendental functions. Such integrations frequently involve (not always in immediately re cognizable form) elliptic functions and elliptic integrals. The numerous books written on elliptic integrals, while of great value to the student or mathematician, are not especially suitable for the scientist whose primary objective is the ready evaluation of the integrals that occur in his practical problems. As a result, he may entirely avoid problems which lead to elliptic integrals, or is likely to resort to graphical methods or other means of approximation in dealing with all but the siruplest of these integrals. It became apparent in the course of my work in theoretical aero dynamics that there was a need for a handbook embodying in convenient form a comprehensive table of elliptic integrals together with auxiliary formulas and numerical tables of values. Feeling that such a book would save the engineer and physicist much valuable time, I prepared the present volume.

Translations Of Mathematical Monographs

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Author :
language : en
Publisher:
Release Date : 1962

Translations Of Mathematical Monographs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Elliptic functions categories.

Elliptic Integrals Elliptic Functions And Modular Forms In Quantum Field Theory

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Author : Johannes Blümlein
language : en
Publisher: Springer
Release Date : 2019-01-30

Elliptic Integrals Elliptic Functions And Modular Forms In Quantum Field Theory written by Johannes Blümlein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Computers categories.

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 And Elliptic Integrals

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Author : Viktor Prasolov
language : en
Publisher: American Mathematical Society
Release Date : 1997-09-16

Elliptic Functions And Elliptic Integrals written by Viktor Prasolov and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-16 with Mathematics categories.

Elliptic Functions And Elliptic Curves

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Author : Patrick Du Val
language : en
Publisher: Cambridge University Press
Release Date : 1973-08-02

Elliptic Functions And Elliptic Curves written by Patrick Du Val and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-08-02 with Mathematics categories.

A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach provides geometers with the opportunity to acquaint themselves with aspects of their subject virtually ignored by other texts. The exposition is clear and logically carries themes from earlier through to later topics. This enthusiastic work of scholarship is made complete with the inclusion of some interesting historical details and a very comprehensive bibliography.

Development Of Elliptic Functions According To Ramanujan

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Author : K Venkatachaliengar
language : en
Publisher: World Scientific
Release Date : 2011-09-28

Development Of Elliptic Functions According To Ramanujan written by K Venkatachaliengar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-28 with Mathematics categories.

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter.The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

Elliptic Functions And Applications

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Author : Derek F. Lawden
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Elliptic Functions And Applications written by Derek F. Lawden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

The subject matter of this book formed the substance of a mathematical se am which was worked by many of the great mathematicians of the last century. The mining metaphor is here very appropriate, for the analytical tools perfected by Cauchy permitted the mathematical argument to penetra te to unprecedented depths over a restricted region of its domain and enabled mathematicians like Abel, Jacobi, and Weierstrass to uncover a treasurehouse of results whose variety, aesthetic appeal, and capacity for arousing our astonishment have not since been equaled by research in any other area. But the circumstance that this theory can be applied to solve problems arising in many departments of science and engineering graces the topic with an additional aura and provides a powerful argument for including it in university courses for students who are expected to use mathematics as a tool for technological investigations in later life. Unfortunately, since the status of university staff is almost wholly determined by their effectiveness as research workers rather than as teachers, the content of undergraduate courses tends to reflect those academic research topics which are currently popular and bears little relationship to the future needs of students who are themselves not destined to become university teachers. Thus, having been comprehensively explored in the last century and being undoubtedly difficult .

Elliptic Curves

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Author : Henry McKean
language : en
Publisher: Cambridge University Press
Release Date : 1999-08-13

Elliptic Curves written by Henry McKean and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-13 with Mathematics categories.

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This 1997 book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text.

Elliptic Modular Functions

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Author : B. Schoeneberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Elliptic Modular Functions written by B. Schoeneberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book is a fully detailed introduction to the theory of modular functions of a single variable. I hope that it will fill gaps which in view ofthe lively development ofthis theory have often been an obstacle to the students' progress. The study of the book requires an elementary knowledge of algebra, number theory and topology and a deeper knowledge of the theory of functions. An extensive discussion of the modular group SL(2, Z) is followed by the introduction to the theory of automorphic functions and auto morphic forms of integral dimensions belonging to SL(2,Z). The theory is developed first via the Riemann mapping theorem and then again with the help of Eisenstein series. An investigation of the subgroups of SL(2, Z) and the introduction of automorphic functions and forms belonging to these groups folIows. Special attention is given to the subgroups of finite index in SL (2, Z) and, among these, to the so-called congruence groups. The decisive role in this setting is assumed by the Riemann-Roch theorem. Since its proof may be found in the literature, only the pertinent basic concepts are outlined. For the extension of the theory, special fields of modular functions in particular the transformation fields of order n-are studied. Eisen stein series of higher level are introduced which, in case of the dimension - 2, allow the construction of integrals of the 3 rd kind. The properties of these integrals are discussed at length.

Elliptic Functions And Elliptic Integrals

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