An Introduction To The Theory Of Multiply Periodic Functions
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An Introduction To The Theory Of Multiply Periodic Functions
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Author : Henry Frederick Baker
language : en
Publisher:
Release Date : 1907
An Introduction To The Theory Of Multiply Periodic Functions written by Henry Frederick Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1907 with Functions categories.
An Introduction To The Theory Of Multiply Periodic Functions
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Author : Henry Frederick Baker
language : en
Publisher: Palala Press
Release Date : 2015-09-02
An Introduction To The Theory Of Multiply Periodic Functions written by Henry Frederick Baker and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-02 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Introduction To The Theory Of Multiply Periodic Functions
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Author : H F Baker
language : en
Publisher: CreateSpace
Release Date : 2013-12-22
An Introduction To The Theory Of Multiply Periodic Functions written by H F Baker and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-22 with categories.
An excerpt from the PREFACE: THE present volume consists of two parts; the first of these deals with the theory of hyper-elliptic functions of two variables, the second with the reduction of the theory of general multiply-periodic functions to the theory of algebraic functions; taken together they furnish what is intended to be an elementary and self-contained introduction to many of the leading ideas of the theory of multiply-periodic functions, with the incidental aim of aiding the comprehension of the importance of this theory in analytical geometry. The first part is centred round some remarkable differential equations satisfied by the functions, which appear to be equally illuminative both of the analytical and geometrical aspects of the theory; it was in fact to explain this that the book was originally entered upon. The account has no pretensions to completeness: being anxious to explain the properties of the functions from the beginning, I have been debarred from following Humbert's brilliant monograph, which assumes from the first Poincare's theorem as to the number of zeros common to two theta functions; this theorem is reached in this volume, certainly in a generalised form, only in the last chapter of PartII.: being anxious to render the geometrical portions of the volume quite elementary, I have not been able to utilise the theory of quadratic complexes, which has proved so powerful in this connexion in the hands of Kummer and Klein; and, for both these reasons, the account given here, and that given in the remarkable book from the pen of R. W. H. T. Hudson, will, I believe, only be regarded by readers as complementary. The theory of Kummer's surface, and of the theta functions, has been much studied since the year (1847 or before) in which Gopel first obtained the biquadratic relation connecting four theta functions; and Wirtinger has shown, in his "Untersuchungen uber Thetafunctionen," which has helped me in several ways in the second part of this volume, that the theory is capable of generalisation, in many of its results, to space of "2p-1" dimensions; but even in the case of two variables there is a certain inducement, not to come to too close quarters with the details, in the fact of the existence of sixteen theta functions connected together by many relations, at least in the minds of beginners. I hope therefore that the treatment here followed, which reduces the theory, in a very practical way, to that of one theta function and three periodic functions connected by an algebraic equation, may recommend itself to others, and, in a humble way, serve the purpose of the earlier books on elliptic functions, of encouraging a wider use of the functions in other branches of mathematics. The slightest examination will show that, even for the functions of two variables, many of the problems entered upon demand further study; while, for the hyper-elliptic functions of "p" variables, for which the forms of the corresponding differential equations are known, there exist constructs, of "p" dimensions, in space of "1/2p (p+1) " dimensions, which await similar investigatio
An Introduction To The Theory Of Multiply Periodic Functions By H F Baker
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Author : Henry Frederick Baker
language : en
Publisher: University of Michigan Library
Release Date : 1907
An Introduction To The Theory Of Multiply Periodic Functions By H F Baker written by Henry Frederick Baker and has been published by University of Michigan Library this book supported file pdf, txt, epub, kindle and other format this book has been release on 1907 with Science categories.
Multiply Periodic Functions
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Author : H. F. Baker
language : en
Publisher:
Release Date : 2004
Multiply Periodic Functions written by H. F. Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This is a re-issue of the classic book from H. F. Baker. In two parts, this book first deals with the theory of hyperelliptic functions of two variables, and then with the reduction of the theory of general multiply-periodic functions to the theory of algebraic functions. It provides an elementary and self-contained introduction to many of the leading ideas in the theory of multiply periodic functions, whilst illuminating the importance of this theory in analytical geometry.
An Introduction To The Theory Of Multiply Periodic Functions
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FREE 30 Days
Author : Henry Frederick Baker
language : en
Publisher:
Release Date : 1907
An Introduction To The Theory Of Multiply Periodic Functions written by Henry Frederick Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1907 with Functions categories.
Lectures Introductory To The Theory Of Functions Of Two Complex Variables Delivered To The University Of Calcutta During January And February 1913
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Author : Andrew Russell Forsyth
language : en
Publisher: CUP Archive
Release Date : 1914
Lectures Introductory To The Theory Of Functions Of Two Complex Variables Delivered To The University Of Calcutta During January And February 1913 written by Andrew Russell Forsyth and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1914 with Functions of complex variables categories.
Topics In Complex Function Theory Volume 3
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Author : Carl Ludwig Siegel
language : en
Publisher: John Wiley & Sons
Release Date : 1989-01-18
Topics In Complex Function Theory Volume 3 written by Carl Ludwig Siegel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-18 with Mathematics categories.
Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
Crc Concise Encyclopedia Of Mathematics
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Author : Eric W. Weisstein
language : en
Publisher: CRC Press
Release Date : 2002-12-12
Crc Concise Encyclopedia Of Mathematics written by Eric W. Weisstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-12 with Mathematics categories.
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Mathematical Tools For Physicists
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Author : Michael Grinfeld
language : en
Publisher: John Wiley & Sons
Release Date : 2015-01-12
Mathematical Tools For Physicists written by Michael Grinfeld and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-12 with Science categories.
The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.