Author : Murali Rao
Publisher : World Scientific Publishing Company
Page : 425 pages
File Size : 22,77 MB
Release : 2015-01-28
Category : Mathematics
ISBN : 9814579610
This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.
Author : Murali Rao
Publisher :
Page : pages
File Size : 33,52 MB
Release : 1991
Category :
ISBN : 9789814271929
Author : Ralph Philip Boas
Publisher :
Page : 376 pages
File Size : 13,25 MB
Release : 1987
Category : Mathematics
ISBN :
Ideal for a first course in complex analysis, this book can be used either as a classroom text or for independent study. Written at a level accessible to advanced undergraduates and beginning graduate students, the book is suitable for readers acquainted with advanced calculus or introductory real analysis. The treatment goes beyond the standard material of power series, Cauchy's theorem, residues, conformal mapping, and harmonic functions by including accessible discussions of intriguing topics that are uncommon in a book at this level. The flexibility afforded by the supplementary topics and applications makes the book adaptable either to a short, one-term course or to a comprehensive, full-year course. Detailed solutions of the exercises both serve as models for students and facilitate independent study. Supplementary exercises, not solved in the book, provide an additional teaching tool.
Author : Murali Rao
Publisher : World Scientific Publishing Company Incorporated
Page : 414 pages
File Size : 12,53 MB
Release : 2015
Category : Mathematics
ISBN : 9789814579582
The volume is an enlarged edition of a classic textbook on complex analysis. It bridges the gap between the classical material of the first edition and recent advances in half-plane Loewner theory, thus providing the complex analysis backbone of Loewner theory. The new materials found in this edition give a concise and accessible treatment of Loewner theory. Some of them have been described in research papers only or appear here for the first time. Each chapter finishes with exercises.
Author : Ralph P. Boas
Publisher : American Mathematical Soc.
Page : 327 pages
File Size : 24,32 MB
Release : 2020-05-05
Category : Mathematics
ISBN : 0883857642
Ideal for a first course in complex analysis, this book can be used either as a classroom text or for independent study. Written at a level accessible to advanced undergraduates and beginning graduate students, the book is suitable for readers acquainted with advanced calculus or introductory real analysis. The treatment goes beyond the standard material of power series, Cauchy's theorem, residues, conformal mapping, and harmonic functions by including accessible discussions of intriguing topics that are uncommon in a book at this level. The flexibility afforded by the supplementary topics and applications makes the book adaptable either to a short, one-term course or to a comprehensive, full-year course. Detailed solutions of the exercises both serve as models for students and facilitate independent study. Supplementary exercises, not solved in the book, provide an additional teaching tool. This second edition has been painstakingly revised by the author's son, himself an award-winning mathematical expositor.
Author : Alan Jeffrey
Publisher : CRC Press
Page : 592 pages
File Size : 16,62 MB
Release : 2005-11-10
Category : Mathematics
ISBN : 020302656X
Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems.
Author : Ralph Philip Boas
Publisher : Random House Incorporated
Page : 347 pages
File Size : 30,63 MB
Release : 1987-01-01
Category : Mathematics
ISBN : 9780075548829
Author : David C. Ullrich
Publisher : American Mathematical Soc.
Page : 506 pages
File Size : 23,85 MB
Release : 2008
Category : Mathematics
ISBN : 0821844792
Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis
Author : Ian Stewart
Publisher : Cambridge University Press
Page : 308 pages
File Size : 19,83 MB
Release : 1983-03-10
Category : Mathematics
ISBN : 9780521287630
A textbook for students of pure mathematics.
Author : Daniel Alpay
Publisher : Birkhäuser
Page : 592 pages
File Size : 40,70 MB
Release : 2016-10-26
Category : Mathematics
ISBN : 3319421816
This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.
