Abelian Functions
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Introduction To Algebraic And Abelian Functions
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 1982-12
Introduction To Algebraic And Abelian Functions written by Serge Lang 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 1982-12 with Mathematics categories.
Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.
Introduction To The Classical Theory Of Abelian Functions
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Author : Alekseĭ Ivanovich Markushevich
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Introduction To The Classical Theory Of Abelian Functions written by Alekseĭ Ivanovich Markushevich 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 1992 with Mathematics categories.
The theory of Abelian functions, which was at the center of nineteenth-century mathematics, is again attracting attention. However, today it is frequently seen not just as a chapter of the general theory of functions but as an area of application of the ideas and methods of commutative algebra. This book presents an exposition of the fundamentals of the theory of Abelian functions based on the methods of the classical theory of functions. This theory includes the theory of elliptic functions as a special case. Among the topics covered are theta functions, Jacobians, and Picard varieties. The author has aimed the book primarily at intermediate and advanced graduate students, but it would also be accessible to the beginning graduate student or advanced undergraduate who has a solid background in functions of one complex variable. This book will prove especially useful to those who are not familiar with the analytic roots of the subject. In addition, the detailed historical introduction cultivates a deep understanding of the subject. Thorough and self-contained, the book will provide readers with an excellent complement to the usual algebraic approach.
Abelian Functions
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Author : Henry Frederick Baker
language : en
Publisher: Cambridge University Press
Release Date : 1995-12-14
Abelian Functions written by Henry Frederick Baker 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 1995-12-14 with Mathematics categories.
Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincaré, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century it has been enriched by the methods and ideas of topology, commutative algebra and Grothendieck's schemes seemed to have replaced once and forever the somewhat naive language of classical algebraic geometry. This book contains more than its modest title suggests. Written in 1897, its scope was as broad as it could possibly be, namely to cover the whole of algebraic geometry, and associated theories. The subject is discussed by Baker in terms of transcendental functions, and in particular theta functions. Many of the ideas put forward are of continuing relevance today, and some of the most exciting ideas from theoretical physics draw on work presented here.
Abelian Varieties Theta Functions And The Fourier Transform
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Author : Alexander Polishchuk
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-21
Abelian Varieties Theta Functions And The Fourier Transform written by Alexander Polishchuk 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 2003-04-21 with Mathematics categories.
Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
A Treatise On The Theory Of Functions
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Author : James Harkness
language : en
Publisher:
Release Date : 1893
A Treatise On The Theory Of Functions written by James Harkness and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Functions categories.
Theory Of Functions Of A Complex Variable
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Author : Andrew Russell Forsyth
language : en
Publisher:
Release Date : 1893
Theory Of Functions Of A Complex Variable written by Andrew Russell Forsyth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Functions categories.
Theory Of Functions Of A Complex Variable
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Author : Forsyth
language : en
Publisher:
Release Date : 1893
Theory Of Functions Of A Complex Variable written by Forsyth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with categories.
The Mathematics Of Frobenius In Context
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Author : Thomas Hawkins
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-23
The Mathematics Of Frobenius In Context written by Thomas Hawkins 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 2013-07-23 with Mathematics categories.
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Complex Analysis 2
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Author : Eberhard Freitag
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-10
Complex Analysis 2 written by Eberhard Freitag 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 2011-06-10 with Mathematics categories.
The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ̄rst volume. There is no comparable treatment in the literature.