Introduction To The Classical Theory Of Abelian Functions

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Introduction To The Classical Theory Of Abelian Functions

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Author : Alekse_ Ivanovich Markushevich
language : en
Publisher: American Mathematical Soc.
Release Date : 2006-07-26

Introduction To The Classical Theory Of Abelian Functions written by Alekse_ 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 2006-07-26 with Mathematics categories.

Historical introduction. The Jacobian inversion problem Periodic functions of several complex variables Riemann matrices. Jacobian (intermediate) functions Construction of Jacobian functions of a given type. Theta functions and Abelian functions. Abelian and Picard manifolds Appendix A. Skew-symmetric determinants Appendix B. Divisors of analytic functions Appendix C. A summary of the most important formulas

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 Functions, Abelian categories.

Geometric Theory Of Functions Of A Complex Variable

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Author : Gennadiĭ Mikhaĭlovich Goluzin
language : en
Publisher: American Mathematical Soc.
Release Date : 1969

Geometric Theory Of Functions Of A Complex Variable written by Gennadiĭ Mikhaĭlovich Goluzin 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 1969 with Functions of complex variables categories.

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.

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.

Functions On Manifolds Algebraic And Topological Aspects

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Author : Vladimir Vasilʹevich Sharko
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Functions On Manifolds Algebraic And Topological Aspects written by Vladimir Vasilʹevich Sharko 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 1993 with Mathematics categories.

This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This leads to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.

Elie Cartan 1869 1951

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Author : M. A. Akivis
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-07-14

Elie Cartan 1869 1951 written by M. A. Akivis 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 2011-07-14 with Mathematics categories.

This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.

Theory Of Commutative Fields

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Author : Masayoshi Nagata
language : en
Publisher: American Mathematical Soc.
Release Date :

Theory Of Commutative Fields written by Masayoshi Nagata 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 with Mathematics categories.

The theory of commutative fields is a fundamental area of mathematics, particularly in number theory, algebra, and algebraic geometry. However, few books provide sufficient treatment of this topic. The author aimed to provide an introduction to commutative fields that would be useful to those studying the topic for the first time as well as to those wishing a reference book. The book presents, with as few prerequisites as possible, all of the important and fundamental results on commutative fields. Each chapter ends with exercises, making the book suitable as a textbook for graduate courses or for independent study.

Complexity Of Proofs And Their Transformations In Axiomatic Theories

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Author : V. P. Orevkov
language : en
Publisher: American Mathematical Soc.
Release Date :

Complexity Of Proofs And Their Transformations In Axiomatic Theories written by V. P. Orevkov 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 with Mathematics categories.

This book develops the tool of logical deduction schemata by using it to establish upper and lower bounds on the complexity of proofs and their transformations in axiomatized theories.

Nelinejnye Nelokal Nye Uravneni V Teorii Voln

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Author : Pavel Ivanovich Naumkin
language : en
Publisher: American Mathematical Soc.
Release Date :

Nelinejnye Nelokal Nye Uravneni V Teorii Voln written by Pavel Ivanovich Naumkin 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 with Science categories.

This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.