Handbook of Complex Variables

Handbook of Complex Variables
Author: Steven G. Krantz
Publisher: Springer Science & Business Media
Total Pages: 301
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461215889
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This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book.

Handbook of Complex Analysis

Handbook of Complex Analysis
Author: Reiner Kuhnau
Publisher: Elsevier
Total Pages: 549
Release: 2002-12-05
Genre: Mathematics
ISBN: 0080532810
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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)

Handbook of Complex Analysis

Handbook of Complex Analysis
Author: Steven G. Krantz
Publisher: CRC Press
Total Pages: 547
Release: 2022-03-07
Genre: Mathematics
ISBN: 1351663062
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In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics. There are important applications in physics, engineering, and other aspects of technology. This Handbook presents contributed chapters by prominent mathematicians, including the new generation of researchers. More than a compilation of recent results, this book offers students an essential stepping-stone to gain an entry into the research life of complex analysis. Classes and seminars play a role in this process. More, though, is needed for further study. This Handbook will play that role. This book is also a reference and a source of inspiration for more seasoned mathematicians—both specialists in complex analysis and others who want to acquaint themselves with current modes of thought. The chapters in this volume are authored by leading experts and gifted expositors. They are carefully crafted presentations of diverse aspects of the field, formulated for a broad and diverse audience. This volume is a touchstone for current ideas in the broadly construed subject area of complex analysis. It should enrich the literature and point in some new directions.

Complex Analysis

Complex Analysis
Author: Serge Lang
Publisher: Springer Science & Business Media
Total Pages: 380
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475718713
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The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom mend to anyone to look through them. More recent texts have empha sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts.

Modern Real and Complex Analysis

Modern Real and Complex Analysis
Author: Bernard R. Gelbaum
Publisher: John Wiley & Sons
Total Pages: 506
Release: 2011-02-25
Genre: Mathematics
ISBN: 111803080X
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Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis. While maintaining the strictest standards ofrigor, Professor Gelbaum's approach is designed to appeal tointuition whenever possible. Modern Real and Complex Analysisprovides up-to-date treatment of such subjects as the Daniellintegration, differentiation, functional analysis and Banachalgebras, conformal mapping and Bergman's kernels, defectivefunctions, Riemann surfaces and uniformization, and the role ofconvexity in analysis. The text supplies an abundance of exercisesand illustrative examples to reinforce learning, and extensivenotes and remarks to help clarify important points.

Complex Analysis

Complex Analysis
Author: M. D. PETALE
Publisher: MANGESH DEVIDASRAO PETALE
Total Pages: 115
Release:
Genre:
ISBN:
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Purpose of this Book The purpose of this book is to supply lots of examples with details solution that helps the students to understand each example step wise easily and get rid of the college assignments phobia. It is sincerely hoped that this book will help and better equipped the higher secondary students to prepare and face the examinations with better confidence. I have endeavored to present the book in a lucid manner which will be easier to understand by all the engineering students. About the Book According to many streams in engineering course there are different chapters in Engineering Mathematics of the same year according to the streams. Hence students faced problem about to buy Engineering Mathematics special book that covered all chapters in a single book. That’s reason student needs to buy many books to cover all chapters according to the prescribed syllabus. Hence need to spend more money for a single subject to cover complete syllabus. So here good news for you, your problem solved. I made here special books according to chapter wise, which helps to buy books according to chapters and no need to pay extra money for unneeded chapters that not mentioned in your syllabus. PREFACE It gives me great pleasure to present to you this book on A Textbook on “Complex Analysis” of Engineering Mathematics presented specially for you. Many books have been written on Engineering Mathematics by different authors and teachers, but majority of the students find it difficult to fully understand the examples in these books. Also, the Teachers have faced many problems due to paucity of time and classroom workload. Sometimes the college teacher is not able to help their own student in solving many difficult questions in the class even though they wish to do so. Keeping in mind the need of the students, the author was inspired to write a suitable text book providing solutions to various examples of “Complex Analysis” of Engineering Mathematics. It is hoped that this book will meet more than an adequately the needs of the students they are meant for. I have tried our level best to make this book error free.

Complex Analysis

Complex Analysis
Author: Jerry R. Muir, Jr.
Publisher: John Wiley & Sons
Total Pages: 274
Release: 2015-05-26
Genre: Mathematics
ISBN: 1118705270
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A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an epilogue on the Riemann mapping theorem. Thoroughly classroom tested at multiple universities, Complex Analysis: A Modern First Course in Function Theory features: Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects Numerous figures to illustrate geometric concepts and constructions used in proofs Remarks at the conclusion of each section that place the main concepts in context, compare and contrast results with the calculus of real functions, and provide historical notes Appendices on the basics of sets and functions and a handful of useful results from advanced calculus Appropriate for students majoring in pure or applied mathematics as well as physics or engineering, Complex Analysis: A Modern First Course in Function Theory is an ideal textbook for a one-semester course in complex analysis for those with a strong foundation in multivariable calculus. The logically complete book also serves as a key reference for mathematicians, physicists, and engineers and is an excellent source for anyone interested in independently learning or reviewing the beautiful subject of complex analysis.

A Complex Analysis Problem Book

A Complex Analysis Problem Book
Author: Daniel Alpay
Publisher: Birkhäuser
Total Pages: 592
Release: 2016-10-26
Genre: Mathematics
ISBN: 3319421816
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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.

Handbook of Analysis and Its Foundations

Handbook of Analysis and Its Foundations
Author: Eric Schechter
Publisher: Academic Press
Total Pages: 907
Release: 1996-10-24
Genre: Mathematics
ISBN: 0080532993
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Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

Handbook of Complex Analysis

Handbook of Complex Analysis
Author: Reiner Kuhnau
Publisher: Elsevier
Total Pages: 876
Release: 2004-12-09
Genre: Mathematics
ISBN: 0080495176
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Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · 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).