Fundamentals Of Complex Analysis

Author : Edward Saff,Arthur Snider
Publisher : Pearson
Page : 0 pages
File Size : 44,7 Mb
Release : 2017-02-13
Category : Functions of complex variables
ISBN : 0134689488

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Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) by Edward Saff,Arthur Snider Pdf

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

Author : E. B. Saff,Arthur David Snider
Publisher : Pearson
Page : 584 pages
File Size : 47,7 Mb
Release : 2003
Category : Mathematics
ISBN : STANFORD:36105119743289

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Fundamentals of Complex Analysis with Applications to Engineering and Science by E. B. Saff,Arthur David Snider Pdf

Providing a comprehensive introduction to complex variable theory and its applications to engineering problems, this text is designed to make the subject matter more accessible to students.

Author : K. K. Dube
Publisher : I. K. International Pvt Ltd
Page : 293 pages
File Size : 47,9 Mb
Release : 2013-12-30
Category : Calculus
ISBN : 9789380026022

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Fundamentals of Complex Analysis by K. K. Dube Pdf

The book divided in ten chapters deals with: " Algebra of complex numbers and its various geometrical properties, properties of polar form of complex numbers and regions in the complex plane. " Limit, continuity, differentiability. " Different kinds of complex valued functions. " Different types of transformations. " Conformal mappings of different functions. " Properties of bilinear and special bilinear transformation. " Line integrals, their properties and different theorems. " Sequences and series, Power series, Zero s of functions, residues and residue theorem, meromorphic functions, different kinds of singularities. " Evaluation of real integrals. " Analytic continuation, construction of harmonic functions, infinite product, their properties and Gamma function. " Schwarz-Christoffel transformations, mapping by multi valued functions, entire functions. " Jenson s theorem and Poisson-Jenson theorem. The book is designed as a textbook for UG and PG students of science as well as engineering

Author : E. B. Saff,Arthur David Snider
Publisher : Prentice Hall
Page : 470 pages
File Size : 45,6 Mb
Release : 1976
Category : Mathematics
ISBN : UOM:39015000971872

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Fundamentals of Complex Analysis for Mathematics, Science, and Engineering by E. B. Saff,Arthur David Snider Pdf

Author : Eberhard Freitag,Rolf Busam
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 52,8 Mb
Release : 2006-01-17
Category : Mathematics
ISBN : 9783540308232

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Complex Analysis by Eberhard Freitag,Rolf Busam Pdf

All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Author : Richard A. Silverman
Publisher : Courier Corporation
Page : 402 pages
File Size : 42,6 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486318523

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Introductory Complex Analysis by Richard A. Silverman Pdf

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.

Author : Claudia Alfes-Neumann
Publisher : Springer Nature
Page : 44 pages
File Size : 49,8 Mb
Release : 2021-10-11
Category : Mathematics
ISBN : 9783658345297

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Modular Forms by Claudia Alfes-Neumann Pdf

In this essential, Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics. These functions - initially defined purely analytically - appear in many areas of mathematics: very prominently in number theory, but also in geometry, combinatorics, representation theory, and physics. After explaining necessary basics from complex analysis, the author defines modular forms and shows some applications in number theory. Furthermore, she takes up two important aspects of the theory surrounding modular forms: Hecke operators and L-functions of modular forms. The essentials conclude with an outlook on real-analytic generalizations of modular forms, which play an important role in current research. This Springer essential is a translation of the original German 1st edition essentials, Modulformen by Claudia Alfes-Neumann, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Author : Robert Everist Greene,Steven George Krantz
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 48,6 Mb
Release : 2006
Category : Mathematics
ISBN : 0821839624

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Function Theory of One Complex Variable by Robert Everist Greene,Steven George Krantz Pdf

Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

Author : John W. Dettman
Publisher : Courier Corporation
Page : 512 pages
File Size : 47,5 Mb
Release : 2012-05-07
Category : Mathematics
ISBN : 9780486158280

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Applied Complex Variables by John W. Dettman Pdf

Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

Author : Eberhard Freitag
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 51,8 Mb
Release : 2011-06-10
Category : Mathematics
ISBN : 9783642205545

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Complex Analysis 2 by Eberhard Freitag Pdf

The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ̄rst volume. There is no comparable treatment in the literature.

Author : E. B. Saff,Arthur David Snider
Publisher : Unknown
Page : 520 pages
File Size : 50,8 Mb
Release : 2013-07-18
Category : Functions of complex variables
ISBN : 1292023759

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Fundamentals of Complex Analysis Engineering, Science and Mathematics by E. B. Saff,Arthur David Snider Pdf

This book provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach.

Author : Elias M. Stein,Rami Shakarchi
Publisher : Princeton University Press
Page : 398 pages
File Size : 51,7 Mb
Release : 2010-04-22
Category : Mathematics
ISBN : 9781400831159

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Complex Analysis by Elias M. Stein,Rami Shakarchi Pdf

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Author : Saminathan Ponnusamy
Publisher : Taylor & Francis US
Page : 488 pages
File Size : 48,9 Mb
Release : 2002
Category : Mathematics
ISBN : 1842650793

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Foundations of Functional Analysis by Saminathan Ponnusamy Pdf

Provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: Basic facts of linear algebra and real analysis. Normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics. Hilbert spaces and the representation of continuous linear function with applications. In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

Author : John Stalker
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 41,5 Mb
Release : 2009-10-03
Category : Mathematics
ISBN : 9780817649197

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Complex Analysis by John Stalker Pdf

All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In "part I'' we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric functions as examples, students inevitably begin to believe that the purpose of complex analysis is to produce more such theorems. We require introductory com plex analysis courses of our undergraduates and graduates because it is useful both within mathematics and beyond.

Author : Dennis Zill,Patrick Shanahan
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 52,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9780763757724

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A First Course in Complex Analysis with Applications by Dennis Zill,Patrick Shanahan Pdf

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 manor. 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.