Download or read book Theory of the Algebraic Functions of a Complex Variable written by John Charles Fields and published by Berlin : Mayer & Müller. This book was released on 1906 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of the Algebraic Functions of a Complex Variable written by John Charles Fields and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced mathematical text is a detailed exploration of complex variable theory. It covers topics such as integrals, series expansions, and conformal mapping. While it is a challenging read, it is also a seminal work in the field of mathematics and is still widely studied today. Mathematicians and math students will find this book to be an invaluable resource. 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 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. 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.
Download or read book Theory of the Algebraic Functions of a Complex Variable written by John Charles Fields and published by Forgotten Books. This book was released on 2015-06-25 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Theory of the Algebraic Functions of a Complex Variable The theory of the algebraic functions developed in the following pages is algebraic in its methods and perfectly general. It holds for any algebraic equation reducible or irreducible, however complicated its singularities may be and whatever its character at infinity. The development of the theory may be said to culminate in the complementary theorem, in Chapter XII, from which theorem a number of well-known theorems in the theory of the algebraic functions immediately follow as corollaries. The principles here presented have been in the possession of the writer for some eight years past and had in fact, in a somewhat different form, already been written up with a view to publication in the summer of 1898. Other matters however intervened and the work was laid aside for a long period. Since then further interruptions have occurred, - the theory however has been twice rewritten in the interval and has probably lost nothing by the delay in publication. The writer has not felt it to be necessary to go into the theory of the Abelian integrals, his object having been attained on presenting the purely algebraic side of his subject. The principle embodied in the statement of the limitation on the orders of coincidence which a reduced form can have simultaneously with then branches of the fundamental algebraic equation, is evidently of wider scope than the theory of the algebraic functions. Also the method of the deformation of a product, or its equivalent, should find its application elsewhere, for example in the theory of the algebraic numbers and in the theory of the algebraic functions of several variables. In the latter connection the writer might say that he possesses a simple representation of the branches of an algebraic function of any number of variables in the neighborhood of a singular manifold and hopes to be able to utilize this representation in combination with the methods employed in the present volume. In conclusion the writer desires to express his thanks to Professor Mittag-Leffler and Professor Phragmén for the interest they have taken in his work. Acknowledgement is also due to the publishers, Messrs Mayer and Muller, for the obliging readiness with which they have always met the wishes of the author. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Function Theory of Several Complex Variables written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2001 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Download or read book Theory of Functions of a Complex Variable written by Heinrich Burkhardt and published by . This book was released on 1913 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in the Theory of Algebraic Function Fields written by Gabriel Daniel Villa Salvador and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.
Download or read book Theory of Functions of a Complex Variable written by Andrew Russell Forsyth and published by . This book was released on 1893 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Functions of Several Complex Variables written by Robert C. Gunning and published by American Mathematical Society. This book was released on 2022-08-25 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.
Download or read book Introduction to the Theory of Algebraic Functions of One Variable written by Claude Chevalley and published by American Mathematical Soc.. This book was released on 1951-12-31 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an approach to algebraic geometry of curves that is treated as the theory of algebraic functions on the curve. This book discusses such topics as the theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, and extensions of the fields of functions (covering theory) and of the fields of constants.
Download or read book Eleven Papers on Number Theory Algebra and Functions of a Complex Variable written by and published by American Mathematical Soc.. This book was released on 1965-12-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures Introductory to the Theory of Functions of Two Complex Variables written by Andrew Russell Forsyth and published by . This book was released on 1914 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Complex Functions written by Reinhold Remmert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.
Download or read book Elements of the Theory of Functions of a Complex Variable written by Heinrich Durège and published by . This book was released on 1896 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.
Download or read book Functions of Several Complex Variables and Their Singularities written by Wolfgang Ebeling and published by American Mathematical Soc.. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
Download or read book Functions of a Complex Variable written by George F. Carrier and published by SIAM. This book was released on 2005-07-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes available to readers a comprehensive range of analytical techniques based upon complex variable theory.
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.
