Elliptic Integrals And Elliptic Functions
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Lectures On Selected Topics In Mathematical Physics
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Author : William A. Schwalm
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-12-31
Lectures On Selected Topics In Mathematical Physics written by William A. Schwalm and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Science categories.
This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.
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.
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.
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.
The Applications Of Elliptic Functions
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Author : Sir George Greenhill
language : en
Publisher:
Release Date : 1892
The Applications Of Elliptic Functions written by Sir George Greenhill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 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.
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.
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.
Elliptic Integrals And Elliptic Functions
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Author : Takashi Takebe
language : en
Publisher:
Release Date : 2023
Elliptic Integrals And Elliptic Functions written by Takashi Takebe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
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. .
The Theory Of Elliptic Integrals
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Author : James Booth
language : en
Publisher:
Release Date : 1851
The Theory Of Elliptic Integrals written by James Booth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1851 with Calculus, Integral categories.
Jacobian Elliptic Function Tables
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Author : Louis Melville Milne-Thomson
language : en
Publisher:
Release Date : 1950
Jacobian Elliptic Function Tables written by Louis Melville Milne-Thomson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Elliptic functions categories.