A Second Course in Complex Analysis

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Publisher : Courier Corporation
ISBN 13 : 048615193X
Total Pages : 257 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis A Second Course in Complex Analysis by : William A. Veech

Download or read book A Second Course in Complex Analysis written by William A. Veech and published by Courier Corporation. This book was released on 2014-08-04 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces. His focus on the geometry of complex mappings makes frequent use of Schwarz's lemma. He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau, Schottky, Montel, and Picard as consequences of the existence of certain coverings. Concluding chapters explore Hadamard product theorem and prime number theorem.

An Introduction to Classical Complex Analysis

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Publisher : Birkhäuser
ISBN 13 : 3034893744
Total Pages : 572 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis An Introduction to Classical Complex Analysis by : R.B. Burckel

Download or read book An Introduction to Classical Complex Analysis written by R.B. Burckel and published by Birkhäuser. This book was released on 2012-12-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introductory Complex Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486318524
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introductory Complex Analysis by : Richard A. Silverman

Download or read book Introductory Complex Analysis written by Richard A. Silverman and published by Courier Corporation. This book was released on 2013-04-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Invitation to Complex Analysis

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Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Invitation to Complex Analysis by : Ralph Philip Boas

Download or read book Invitation to Complex Analysis written by Ralph Philip Boas and published by . This book was released on 1987 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Advanced Complex Analysis Problem Book

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Publisher : Birkhäuser
ISBN 13 : 3319160591
Total Pages : 523 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis An Advanced Complex Analysis Problem Book by : Daniel Alpay

Download or read book An Advanced Complex Analysis Problem Book written by Daniel Alpay and published by Birkhäuser. This book was released on 2015-11-13 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.

A Comprehensive Course in Analysis

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Publisher :
ISBN 13 : 9781470411039
Total Pages : 749 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis A Comprehensive Course in Analysis by : Barry Simon

Download or read book A Comprehensive Course in Analysis written by Barry Simon and published by . This book was released on 2015 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincar Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis

Complex Analysis through Examples and Exercises

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Publisher : Springer Science & Business Media
ISBN 13 : 9401711062
Total Pages : 344 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Complex Analysis through Examples and Exercises by : E. Pap

Download or read book Complex Analysis through Examples and Exercises written by E. Pap and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book Complex Analysis through Examples and Exercises has come out from the lectures and exercises that the author held mostly for mathematician and physists . The book is an attempt to present the rat her involved subject of complex analysis through an active approach by the reader. Thus this book is a complex combination of theory and examples. Complex analysis is involved in all branches of mathematics. It often happens that the complex analysis is the shortest path for solving a problem in real circum stances. We are using the (Cauchy) integral approach and the (Weierstrass) power se ries approach . In the theory of complex analysis, on the hand one has an interplay of several mathematical disciplines, while on the other various methods, tools, and approaches. In view of that, the exposition of new notions and methods in our book is taken step by step. A minimal amount of expository theory is included at the beinning of each section, the Preliminaries, with maximum effort placed on weil selected examples and exercises capturing the essence of the material. Actually, I have divided the problems into two classes called Examples and Exercises (some of them often also contain proofs of the statements from the Preliminaries). The examples contain complete solutions and serve as a model for solving similar problems given in the exercises. The readers are left to find the solution in the exercisesj the answers, and, occasionally, some hints, are still given.

Handbook of Complex Analysis

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Publisher : Elsevier
ISBN 13 : 0080532810
Total Pages : 549 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Complex Analysis by : Reiner Kuhnau

Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2002-12-05 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)

Geometry of Complex Numbers

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Publisher : Courier Corporation
ISBN 13 : 0486135861
Total Pages : 228 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Geometry of Complex Numbers by : Hans Schwerdtfeger

Download or read book Geometry of Complex Numbers written by Hans Schwerdtfeger and published by Courier Corporation. This book was released on 2012-05-23 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Book Catalog of the Library and Information Services Division: Subject index

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Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Book Catalog of the Library and Information Services Division: Subject index by : Environmental Science Information Center. Library and Information Services Division

Download or read book Book Catalog of the Library and Information Services Division: Subject index written by Environmental Science Information Center. Library and Information Services Division and published by . This book was released on 1977 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Variables

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Publisher : San Diego ; Toronto : Academic Press
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Complex Variables by : M. Ya Antimirov

Download or read book Complex Variables written by M. Ya Antimirov and published by San Diego ; Toronto : Academic Press. This book was released on 1998 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Variables is an extended course in complex analysis and its applications for engineering students and for those who use complex analysis in their work. In addition to classical results, it includes results recently obtained by the authors. Antimirov, Kolyshkin, and Vaillancourt have combined a rigorous presentation with clarity and many solved examples. The text introduces the theory of functions of one complex variable, and presents an evaluation of many new integration formulae and the summation of new infinite series by the calculus of residue. The book also includes the Fatou-Julia theory for meromorphic functions for finding selective roots of some transcendental equations as found in the applications. The exercises provided in the text are elementary and aim at the understanding of the theory of analytic functions. Answers to odd-numbered exercises are in the back of the book; answers to even-numbered exercises are provided in an accompanying instructor's manual. Key Features: * Uses direct mathematical language, avoiding unnecessary abstract style * Contains planes of domain and image of mappings which are always clearly specified and well-illustrated with figures * Provides several new integration and summation formulas, which may eventually find their way into symbolic softwares * Includes a large collection of exercises * Expands entire functions in infinite products into simpler forms than those found in many textbooks * Presents fresh information on the dynamics of meromorphic functions to solve transcendental equation found in the applications

Basic Complex Analysis

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Publisher : Macmillan
ISBN 13 : 9780716728771
Total Pages : 530 pages
Book Rating : 4.7/5 (287 download)

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Book Synopsis Basic Complex Analysis by : Jerrold E. Marsden

Download or read book Basic Complex Analysis written by Jerrold E. Marsden and published by Macmillan. This book was released on 1999 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time..

COMPLEX VARIABLES

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Publisher :
ISBN 13 :
Total Pages : 327 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis COMPLEX VARIABLES by : George Pólya

Download or read book COMPLEX VARIABLES written by George Pólya and published by . This book was released on 1984 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis of Several Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 082181446X
Total Pages : 312 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Analysis of Several Variables by : Yum-Tong Siu

Download or read book Complex Analysis of Several Variables written by Yum-Tong Siu and published by American Mathematical Soc.. This book was released on 1984 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. This book contains a selection of the presented papers as well as some contributed papers.

Several Complex Variables

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Publisher : Cambridge University Press
ISBN 13 : 9780521770866
Total Pages : 582 pages
Book Rating : 4.7/5 (78 download)

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Book Synopsis Several Complex Variables by : Michael Schneider

Download or read book Several Complex Variables written by Michael Schneider and published by Cambridge University Press. This book was released on 1999 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.

Book catalog of the Library and Information Services Division

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Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Book catalog of the Library and Information Services Division by : Environmental Science Information Center. Library and Information Services Division

Download or read book Book catalog of the Library and Information Services Division written by Environmental Science Information Center. Library and Information Services Division and published by . This book was released on 1977 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis – Methods, Trends, and Applications

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112707753
Total Pages : 400 pages
Book Rating : 4.1/5 (127 download)

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Book Synopsis Complex Analysis – Methods, Trends, and Applications by : Eberhard Lanckau

Download or read book Complex Analysis – Methods, Trends, and Applications written by Eberhard Lanckau and published by Walter de Gruyter GmbH & Co KG. This book was released on 1983-12-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Complex Analysis – Methods, Trends, and Applications".