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Introduction To Complex Analysis

Author : Boris Vladimirovich Shabat
ISBN : 9780821819753
Genre : Functions of complex variables
File Size : 26. 61 MB
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Since the 1960s, there has been a flowering in higher-dimensional complex analysis. Both classical and new results in this area have found numerous applications in analysis, differential and algebraic geometry, and, in particular, contemporary mathematical physics. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis has become necessary for any specialist. Intended as a first study of higher-dimensional complex analysis, this book covers the theory of holomorphic functions of several complex variables, holomorphic mappings, and submanifolds of complex Euclidean space.

An Introduction To Complex Analysis And Geometry

Author : John P. D'Angelo
ISBN : 9780821852743
Genre : Mathematics
File Size : 54. 72 MB
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An Introduction to Complex Analysis and Geometry provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The book developed from courses given in the Campus Honors Program at the University of Illinois Urbana-Champaign. These courses aimed to share with students the way many mathematics and physics problems magically simplify when viewed from the perspective of complex analysis. The book begins at an elementary level but also contains advanced material. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 through 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study. The 280 exercises range from simple computations to difficult problems. Their variety makes the book especially attractive. A reader of the first four chapters will be able to apply complex numbers in many elementary contexts. A reader of the full book will know basic one complex variable theory and will have seen it integrated into mathematics as a whole. Research mathematicians will discover several novel perspectives.

An Introduction To Complex Analysis

Author : Ravi P. Agarwal
ISBN : 146140195X
Genre : Mathematics
File Size : 67. 12 MB
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This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

Introduction To Complex Analysis

Author : Hilary A. Priestley
ISBN : 9780198525622
Genre : Mathematics
File Size : 48. 64 MB
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This second edition of Priestley's well-known text is aimed at students taking an introductory core course in Complex Analysis, a classical and central area of mathematics.

Introduction To Complex Analysis

Author : Rolf Herman Nevanlinna
ISBN : 0821843990
Genre : Mathematics
File Size : 88. 91 MB
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It really is a gem, both in terms of its table of contents and the level of discussion. The exercises also look very good. --Clifford Earle, Cornell University This book has a soul and has passion. --William Abikoff, University of Connecticut This classic book gives an excellent presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. The two quotes above confirm that the book can be successfully used as a text for a class or for self-study.

An Introduction To Complex Analysis In Several Variables

Author : L. Hormander
ISBN : 9780444105233
Genre : Mathematics
File Size : 48. 59 MB
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An Introduction to Complex Analysis in Several Variables

Complex Analysis

Author : Murali Rao
ISBN : 9810203756
Genre : Mathematics
File Size : 22. 27 MB
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This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in the first few chapters. However, the very basic theory is nevertheless given a thorough treatment so that readers should never feel lost. After the first five chapters, the order may be adapted to suit the course. Each chapter finishes with exercises.

Introduction To Complex Analysis And Its Applications

Author : Donald W. Trim
ISBN : PSU:000032647198
Genre : Mathematics
File Size : 49. 58 MB
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Introduction To Complex Analysis In Several Variables

Author : Volker Scheidemann
ISBN : 376437490X
Genre : Mathematics
File Size : 41. 44 MB
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This book provides a comprehensive introduction to complex analysis in several variables. One major focus of the book is extension phenomena alien to the one-dimensional theory (Hartog's Kugelsatz, theorem of Cartan-Thullen, Bochner's theorem). The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture. Therefore, the book contains more than 50 examples and more than 100 supporting exercises.

Complex Analysis With Applications

Author : Richard A. Silverman
ISBN : 0486647625
Genre : Mathematics
File Size : 67. 30 MB
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The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Introductory Complex Analysis

Author : Richard A. Silverman
ISBN : 9780486318523
Genre : Mathematics
File Size : 27. 61 MB
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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.

Complex Analysis

Author : Theodore W. Gamelin
ISBN : 9780387216072
Genre : Mathematics
File Size : 52. 24 MB
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An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

An Introduction To Complex Analysis In Several Variables

Author : Lars Hörmander
ISBN : UOM:49015000679937
Genre : Analytic functions
File Size : 42. 39 MB
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Introduction To Complex Analysis

Author : Kunihiko Kodaira
ISBN : 052128659X
Genre : Mathematics
File Size : 89. 15 MB
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This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.

Super Bus 2 Tb Basque

Author : Anant R Shastri
ISBN : 0333932412
Genre :
File Size : 59. 20 MB
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This thorough, yet simple book is an ideal text and reference for postgraduate students of mathematics. Although it covers a large number of topics, from basic theory of complex numbers to Cauchy s theorem, the informal, interactive style makes the book extremely digestible .

Introduction To Complex Analysis Functions Of Several Variables

Author : Boris Vladimirovich Shabat
ISBN : 0821846116
Genre : Mathematics
File Size : 90. 41 MB
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Since the 1960s, there has been a flowering in higher-dimensional complex analysis. Both classical and new results in this area have found numerous applications in analysis, differential and algebraic geometry, and, in particular, contemporary mathematical physics. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis has become necessary for any specialist. Intended as a first study of higher-dimensional complex analysis, the book covers the theory of holomorphic functions of several complex variables, holomorphic mappings, and submanifolds of complex Euclidean space.

Complex Analysis

Author : Ian Stewart
ISBN : 0521287634
Genre : Mathematics
File Size : 47. 36 MB
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This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.

The Elements Of Complex Analysis

Author : B. Choudhary
ISBN : 8122403999
Genre : Funciones de variable compleja
File Size : 90. 78 MB
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This Book Is Intended To Be A Simple And Easy Introduction To The Subject. It Is Meant As A Textbook For A Course In Complex Analysis At Postgraduate Level Of Indian Universities.Some Of The Welcome Features Of The Book Are: Proofs And Motivation For The Theory: Examples Are Provided To Illustrate The Concepts; Exercises Of Various Levels Of Difficulty Are Given At The End Of Every Chapter: Keeping In View The Applied Nature Of The Subject, Ordinary Linear Homogeneous Differential Equations Of The Second Order And Conformal Mapping And Its Applications Are Given More Attention Than Most Other Books: Uniform Approximation And Elliptic Functions Are Treated In Great Detail; There Is Also A Detailed Treatment Of Harmonic Functions, Weierstrass Approximation Theorem, Analytic Continuation, Riemann Mapping Theorem, Homological Version OfCauchys Theorem And Its Applications; Diagrams Are Provided Whenever Feasible To Help The Reader Develop Skill In Using Imagination To Visualise Abstract Ideas; Solutions To Some Selected Exercises Which Involve Lot Of New Ideas And Theoretical Considerations Have Been Provided At The End.

Complex Analysis

Author : Eberhard Freitag
ISBN : 3540257241
Genre : Mathematics
File Size : 89. 18 MB
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This English edition is based on the fourth forthcoming German edition.

Introduction To Complex Analysis Part Ii Functions Of Several Variables

Author : B. V. Shabat
ISBN : 1470445212
Genre : Functions of complex variables
File Size : 40. 53 MB
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