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Introduction To The Classical Theory Of Abelian Functions
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Book Synopsis Introduction to the Classical Theory of Abelian Functions by : Alekse_ Ivanovich Markushevich
Download or read book Introduction to the Classical Theory of Abelian Functions written by Alekse_ Ivanovich Markushevich and published by American Mathematical Soc.. This book was released on 2006-07-26 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Translations of Mathematical Monographs by :
Download or read book Translations of Mathematical Monographs written by and published by . This book was released on 1962 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Algebraic and Abelian Functions by : Serge Lang
Download or read book Introduction to Algebraic and Abelian Functions written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Abelian Functions by : Henry Frederick Baker
Download or read book Abelian Functions written by Henry Frederick Baker and published by Cambridge University Press. This book was released on 1995-12-14 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic Functions by : Kenkichi Iwasawa
Download or read book Algebraic Functions written by Kenkichi Iwasawa and published by American Mathematical Soc.. This book was released on 1993 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint. Directed at graduate students, the book requires some basic knowledge of algebra, topology, and functions of a complex variable.
Book Synopsis Abel's Theorem and the Allied Theory by : Henry Frederick Baker
Download or read book Abel's Theorem and the Allied Theory written by Henry Frederick Baker and published by . This book was released on 1897 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :A. N. Andrianov V. G. Zhuravlev Publisher :American Mathematical Soc. ISBN 13 :9780821897621 Total Pages :350 pages Book Rating :4.8/5 (976 download)
Book Synopsis Modular forms and Hecke operators by : A. N. Andrianov V. G. Zhuravlev
Download or read book Modular forms and Hecke operators written by A. N. Andrianov V. G. Zhuravlev and published by American Mathematical Soc.. This book was released on 1995-08-28 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of Hecke operators was so simple and natural that, soon after Hecke's work, scholars made the attempt to develop a Hecke theory for modular forms, such as Siegel modular forms. As this theory developed, the Hecke operators on spaces of modular forms in several variables were found to have arithmetic meaning. Specifically, the theory provided a framework for discovering certain multiplicative properties of the number of integer representations of quadratic forms by quadratic forms. Now that the theory has matured, the time is right for this detailed and systematic exposition of its fundamental methods and results. Features: The book starts with the basics and ends with the latest results, explaining the current status of the theory of Hecke operators on spaces of holomorphic modular forms of integer and half-integer weight congruence-subgroups of integral symplectic groups. Hecke operators are considered principally as an instrument for studying the multiplicative properties of the Fourier coefficients of modular forms. It is the authors' intent that Modular Forms and Hecke Operators help attract young researchers to this beautiful and mysterious realm of number theory.
Book Synopsis Modular Forms and Hecke Operators by : A. N. Andrianov
Download or read book Modular Forms and Hecke Operators written by A. N. Andrianov and published by American Mathematical Soc.. This book was released on 2016-01-29 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: he concept of Hecke operators was so simple and natural that, soon after Hecke's work, scholars made the attempt to develop a Hecke theory for modular forms, such as Siegel modular forms. As this theory developed, the Hecke operators on spaces of modular forms in several variables were found to have arithmetic meaning. Specifically, the theory provided a framework for discovering certain multiplicative properties of the number of integer representations of quadratic forms by quadratic forms. Now that the theory has matured, the time is right for this detailed and systematic exposition of its fundamental methods and results. Features: The book starts with the basics and ends with the latest results, explaining the current status of the theory of Hecke operators on spaces of holomorphic modular forms of integer and half-integer weight congruence-subgroups of integral symplectic groups.Hecke operators are considered principally as an instrument for studying the multiplicative properties of the Fourier coefficients of modular forms. It is the authors' intent that Modular Forms and Hecke Operators help attract young researchers to this beautiful and mysterious realm of number theory.
Book Synopsis Typical Singularities of Differential 1-forms and Pfaffian Equations by : Mikhail Zhitomirskiĭ
Download or read book Typical Singularities of Differential 1-forms and Pfaffian Equations written by Mikhail Zhitomirskiĭ and published by American Mathematical Soc.. This book was released on 1992 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskii presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.
Book Synopsis Singularity Theory I by : V.I. Arnold
Download or read book Singularity Theory I written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 1998-03-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact guide to the principles and main applications of Singularity Theory by one of the world’s top research groups. It includes a number of new results as well as a carefully prepared and extensive bibliography that makes it easy to find the necessary details. It’s ideal for any mathematician or physicist interested in modern mathematical analysis.
Book Synopsis Riemannian Geometry by : Takashi Sakai
Download or read book Riemannian Geometry written by Takashi Sakai and published by American Mathematical Soc.. This book was released on 1996-01-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications.
Book Synopsis Tube Domains and the Cauchy Problem by : Semen Grigorʹevich Gindikin
Download or read book Tube Domains and the Cauchy Problem written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to two problems. The first concerns the description of maximal exponential growth of functions or distributions for which the Cauchy problem is well posed. The descriptions presented in the language of the behaviour of the symbol in a complex domain. The second problem concerns the structure of and explicit formulas for differential operators with large automorphism groups. It is suitable as an advanced graduate text in courses in partial differential equations and the theory of distributions.
Book Synopsis Mathematical Scattering Theory by : D. R. Yafaev
Download or read book Mathematical Scattering Theory written by D. R. Yafaev and published by American Mathematical Soc.. This book was released on 1992-09-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preliminary facts Basic concepts of scattering theory Further properties of the WO Scattering for relatively smooth perturbations The general setup in stationary scattering theory Scattering for perturbations of trace class type Properties of the scattering matrix (SM) The spectral shift function (SSF) and the trace formula
Book Synopsis Abelian functions by : Henry F. Baker
Download or read book Abelian functions written by Henry F. Baker and published by . This book was released on 1995 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conformal Mappings and Boundary Value Problems by : Guo-Chun Wen
Download or read book Conformal Mappings and Boundary Value Problems written by Guo-Chun Wen and published by American Mathematical Soc.. This book was released on with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Chinese. Conformal mapping and boundary value problems are two major branches of complex function theory. The former is the geometric theory of analytic functions, and the latter is the analysis theory governing the close relationship between abstract theory and many concrete problems. Topics include applications of Cauchy type integrals, the Hilbert boundary value problem, quasiconformal mappings, and basic boundary value problems for harmonic functions. Annotation copyright by Book News, Inc., Portland, OR
Book Synopsis Problems and Theorems in Linear Algebra by : Viktor Vasil_evich Prasolov
Download or read book Problems and Theorems in Linear Algebra written by Viktor Vasil_evich Prasolov and published by American Mathematical Soc.. This book was released on 1994-06-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a number of very good books available on linear algebra. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many of these results and proofs obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, the author provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It can serve as a supplementary text for an undergraduate or graduate algebra course.
Author :V. A. Malyshev Robert Adol_fovich Minlos Publisher :American Mathematical Soc. ISBN 13 :9780821897607 Total Pages :314 pages Book Rating :4.8/5 (976 download)
Book Synopsis Linear infinite-particle operators by : V. A. Malyshev Robert Adol_fovich Minlos
Download or read book Linear infinite-particle operators written by V. A. Malyshev Robert Adol_fovich Minlos and published by American Mathematical Soc.. This book was released on 1995-02-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.
