problems and solutions for complex analysis

Download Book Problems And Solutions For Complex Analysis in PDF format. You can Read Online Problems And Solutions For Complex Analysis here in PDF, EPUB, Mobi or Docx formats.

Problems And Solutions For Complex Analysis

Author : Rami Shakarchi
ISBN : 9781461215349
Genre : Mathematics
File Size : 23. 59 MB
Format : PDF, Docs
Download : 368
Read : 504

Download Now


All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy's theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. Also beneficial for anyone interested in learning complex analysis.

A Complex Analysis Problem Book

Author : Daniel Alpay
ISBN : 9783034800785
Genre : Mathematics
File Size : 40. 51 MB
Format : PDF, Kindle
Download : 884
Read : 201

Download Now


This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises we wish to show to the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed.

A Collection Of Problems On Complex Analysis

Author : Lev Izrailevich Volkovyski?
ISBN : 9780486669137
Genre : Mathematics
File Size : 35. 90 MB
Format : PDF, Mobi
Download : 265
Read : 728

Download Now


Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

Complex Analysis Through Examples And Exercises

Author : Endre Pap
ISBN : 9789401711067
Genre : Mathematics
File Size : 81. 78 MB
Format : PDF, ePub, Mobi
Download : 717
Read : 1230

Download Now


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.

Problems In Real And Complex Analysis

Author : Bernard R. Gelbaum
ISBN : 9781461209256
Genre : Mathematics
File Size : 81. 19 MB
Format : PDF, ePub, Docs
Download : 304
Read : 1328

Download Now


This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

Invitation To Complex Analysis

Author : Ralph P. Boas
ISBN : 9780883857649
Genre : Mathematics
File Size : 29. 40 MB
Format : PDF, Kindle
Download : 773
Read : 957

Download Now


An ideal choice for a first course in complex analysis, this book can be used either as a classroom text or for independent study. Written in an informal style by a master expositor, the book distills more than half a century of experience with the subject into a lucid, engaging, yet rigorous account. The book reveals both the power of complex analysis as a tool for applications and the intrinsic beauty of the subject as a fundamental part of pure mathematics. Written at the level of courses commonly taught in American universities to seniors 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 many intriguing topics that are uncommon in a book at this level. Readers will encounter notions ranging from Landau's notation to overconvergent series to the Phragmén-Lindelöf theorem. 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.The writing is user-friendly in many ways. Each topic is discussed in a typical, commonly encountered situation rather than in the most general, abstract setting. There are no numbered equations. Numerous exercises interspersed in the text encourage readers to test their understanding of new concepts and techniques as they are presented. Detailed solutions of the exercises, included at the back of the book, both serve as models for students and facilitate independent study. Supplementary exercises at the ends of sections, not solved in the book, provide an additional teaching tool.This second edition of Invitation to Complex Analysis has been painstakingly revised by the author's son, himself an award-winning mathematical expositor.

Visual Complex Analysis

Author : Tristan Needham
ISBN : 0198534469
Genre : Mathematics
File Size : 90. 93 MB
Format : PDF, ePub, Mobi
Download : 629
Read : 902

Download Now


Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

Complex Variables Problem Solver

Author :
ISBN : 0738670863
Genre :
File Size : 48. 28 MB
Format : PDF, ePub, Mobi
Download : 957
Read : 876

Download Now



Complex Variables And Applications

Author : James Ward Brown
ISBN : 0072872527
Genre : Mathematics
File Size : 49. 94 MB
Format : PDF, Kindle
Download : 542
Read : 990

Download Now


Contents - Complex Numbers; Analytic Functions; Elementary Functions; Integrals; Series; Residues and Poles; Applications of Residues; Mapping by Elementary Functions; Conformal Mapping; Applications of Conformal Mapping; The Schwarz - Christoffel Transformation; Integral Formulas of the Poisson Type.

A First Course In Complex Analysis With Applications

Author : Dennis G. Zill
ISBN : 9781449668839
Genre : Mathematics
File Size : 86. 18 MB
Format : PDF
Download : 722
Read : 368

Download Now


The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Top Download:

Best Books