Classical Complex Analysis


Classical Complex Analysis
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Classical Complex Analysis


Classical Complex Analysis
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Author : I-Hsiung Lin
language : en
Publisher: World Scientific
Release Date : 2011

Classical Complex Analysis written by I-Hsiung Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.



Classical Complex Analysis


Classical Complex Analysis
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Author : Mario Gonzalez
language : en
Publisher: CRC Press
Release Date : 1991-09-24

Classical Complex Analysis written by Mario Gonzalez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-24 with Mathematics categories.


Text on the theory of functions of one complex variable contains, with many elaborations, the subject of the courses and seminars offered by the author over a period of 40 years, and should be considered a source from which a variety of courses can be drawn. In addition to the basic topics in the cl



An Introduction To Classical Complex Analysis


An Introduction To Classical Complex Analysis
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Author : R.B. Burckel
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

An Introduction To Classical Complex Analysis written by R.B. Burckel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This book is an attempt to cover some of the salient features of classical, one variable complex function theory. The approach is analytic, as opposed to geometric, but the methods of all three of the principal schools (those of Cauchy, Riemann and Weierstrass) are developed and exploited. The book goes deeply into several topics (e.g. convergence theory and plane topology), more than is customary in introductory texts, and extensive chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics, and offer suggestions for further reading. These are keyed to a bibliography of over 1,300 books and papers, for each of which volume and page numbers of a review in one of the major reviewing journals is cited. These notes and bibliography should be of considerable value to the expert as well as to the novice. For the latter there are many references to such thoroughly accessible journals as the American Mathematical Monthly and L'Enseignement Mathématique. Moreover, the actual prerequisites for reading the book are quite modest; for example, the exposition assumes no prior knowledge of manifold theory, and continuity of the Riemann map on the boundary is treated without measure theory.



Classical Complex Analysis


Classical Complex Analysis
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Author : I-Hsiung Lin
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-09-09

Classical Complex Analysis written by I-Hsiung Lin and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Mathematics categories.


Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 2 begins with analytic continuation. The Riemann mapping theorem is proved and used in solving Dirichlet's problem for an open disk and, hence, a class of general domains via Perron's method. Finally, proof of the uniformization theorem of Riemann surfaces is given. The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.



An Introduction To Classical Complex Analysis


An Introduction To Classical Complex Analysis
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Author :
language : en
Publisher:
Release Date : 1974

An Introduction To Classical Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Analytic functions categories.




Classical Complex Analysis


Classical Complex Analysis
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Author : Liong-shin Hahn
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 1996

Classical Complex Analysis written by Liong-shin Hahn and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Functions of complex variables categories.


Classic Complex Analysis is a text that has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses on the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mobius transformations are presented with emphasis on the geometric aspect, and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Functions, Analytic Continuation, Normal Families, Conformal Mapping, and Harmonic Functions.



An Introduction To Classical Complex Analysis


An Introduction To Classical Complex Analysis
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Author :
language : en
Publisher:
Release Date : 1979

An Introduction To Classical Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.




Complex Analysis


Complex Analysis
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Author : John Stalker
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03

Complex Analysis written by John Stalker 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 2009-10-03 with Mathematics categories.


All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In "part I'' we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond.



An Introduction To Classical Complex Analysis


An Introduction To Classical Complex Analysis
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Author : Robert B. Burckel
language : en
Publisher:
Release Date : 1979

An Introduction To Classical Complex Analysis written by Robert B. Burckel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Analytic functions categories.




Classical Analysis In The Complex Plane


Classical Analysis In The Complex Plane
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Author : Robert B. Burckel
language : en
Publisher: Springer Nature
Release Date : 2021-10-11

Classical Analysis In The Complex Plane written by Robert B. Burckel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-11 with Mathematics categories.


This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail. Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor. Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material. In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development. Historical notes are incorporated throughout, and a bibliography containing more than 2,000 entries provides an exhaustive list of both important and overlooked works. Classical Analysis in the Complex Plane will be a definitive reference for both graduate students and experienced mathematicians alike, as well as an exemplary resource for anyone doing scholarly work in complex analysis. The author’s expansive knowledge of and passion for the material is evident on every page, as is his desire to impart a lasting appreciation for the subject. “I can honestly say that Robert Burckel’s book has profoundly influenced my view of the subject of complex analysis. It has given me a sense of the historical flow of ideas, and has acquainted me with byways and ancillary results that I never would have encountered in the ordinary course of my work. The care exercised in each of his proofs is a model of clarity in mathematical writing...Anyone in the field should have this book on [their bookshelves] as a resource and an inspiration.”- From the Foreword by Steven G. Krantz