A Quick Introduction To Complex Analysis
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A Quick Introduction To Complex Analysis
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Author : Kalyan Chakraborty
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-08-08
A Quick Introduction To Complex Analysis written by Kalyan Chakraborty 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 2016-08-08 with Mathematics categories.
The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels. If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory — the power series method due to Weierstrass and the integration method due to Cauchy — are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples. This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.
A Quick Introduction To Complex Analysis
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Author : Kalyan Chakraborty
language : en
Publisher:
Release Date : 2016
A Quick Introduction To Complex Analysis written by Kalyan Chakraborty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Electronic books categories.
Introduction To Complex Analysis
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Author : Rolf Nevanlinna
language : en
Publisher: American Mathematical Society
Release Date : 2007-10-09
Introduction To Complex Analysis written by Rolf Nevanlinna and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-09 with Mathematics categories.
This textbook, based on lectures given by the authors, presents the elements of the theory of functions in a precise fashion. This introduction is ideal for the third or fourth year of undergraduate study and for graduate students learning complex analysis. Over 300 exercises offer important insight into the subject.
Nine Introductions In Complex Analysis
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Author : Sanford L. Segal
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Nine Introductions In Complex Analysis written by Sanford L. Segal and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
Nine Introductions in Complex Analysis
Introduction To Complex Analysis
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Author : Kunihiko Kodaira
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
Introduction To Complex Analysis written by Kunihiko Kodaira and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
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.
Introduction To Complex Analysis
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Author : Zeev Nehari
language : en
Publisher:
Release Date : 1968
Introduction To Complex Analysis written by Zeev Nehari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functions of complex variables categories.
Complex Analysis
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Author : Lars Ahlfors
language : en
Publisher:
Release Date : 1979
Complex Analysis written by Lars Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Education categories.
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.
The Elements Of Complex Analysis
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Author : B. Choudhary
language : en
Publisher: New Age International
Release Date : 1993
The Elements Of Complex Analysis written by B. Choudhary and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
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.
An Introduction To Complex Analysis
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-01
An Introduction To Complex Analysis written by Ravi P. Agarwal 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 2011-07-01 with Mathematics categories.
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.
An Introduction To Complex Analysis And The Laplace Transform
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Author : Vladimir Eiderman
language : en
Publisher: CRC Press
Release Date : 2021-12-20
An Introduction To Complex Analysis And The Laplace Transform written by Vladimir Eiderman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-20 with Mathematics categories.
The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.