Published December 1982
by Amer Mathematical Society .
Written in English
|The Physical Object|
Algebraic Geometry And Theta Functions Item Preview remove-circle Share or Embed This Item. Book Source: Digital Library of India Item : Arthur B. Coble ioned: TZ ble: TZ. Algebraic geometry and theta functions (Book, )  Get this from a library! Algebraic geometry and theta functions. Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as . Introduction The first of a series of three volumes surveying the theory of theta functions and its significance in the fields of representation theory and algebraic geometry, this volume deals with the basic theory of theta functions in one and several variables, and .
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. About this book Introduction The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. The book is aimed at graduate students and professors seeking to learn i) the concept of "scheme" as part of their study of algebraic geometry and ii) an overview of moduli problems for curves and 3/5(1). Algebraic Geometry and Theta Functions的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。.
Introduction to Algebraic Geometry by Igor V. Dolgachev. This book explains the following topics: Systems of algebraic equations, Affine algebraic sets, Morphisms of affine algebraic varieties, Irreducible algebraic sets and rational functions, Projective algebraic varieties, Morphisms of projective algebraic varieties, Quasi-projective algebraic sets, The image of a projective algebraic set. About this Book Catalog Record Details. Algebraic geometry and theta functions, by Arthur B. Coble. Coble, Arthur Byron, View full catalog record. theta functions for abelian varieties over arbitrary fields. The third and fourth chapters will use some algebraic geometry, but the chapters in this volume assume only a knowledge of elementary classical analysis. There are several other excellent books on theta functions available and . The prerequisites demanded of the reader are modest: a sound understanding of convergence of sequences and series of real numbers, the continuity and differentiability properties of functions of a real variable, and a little Linear Algebra should provide adequate background for understanding the book.