Fundamentals And Applications Of Complex Analysis

Author : K. K. Dube
Publisher : I. K. International Pvt Ltd
Page : 293 pages
File Size : 53,7 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 : Edward Saff,Arthur Snider
Publisher : Pearson
Page : 0 pages
File Size : 46,9 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 : Harold Cohen
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 49,6 Mb
Release : 2003-07-31
Category : Mathematics
ISBN : 0306477483

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Fundamentals and Applications of Complex Analysis by Harold Cohen Pdf

This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.

Author : E. B. Saff,Arthur David Snider
Publisher : Pearson
Page : 584 pages
File Size : 45,8 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 : Harold Cohen
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 47,6 Mb
Release : 2010-04-23
Category : Mathematics
ISBN : 9780387730585

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Complex Analysis with Applications in Science and Engineering by Harold Cohen Pdf

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Author : E. B. Saff,Arthur David Snider
Publisher : Prentice Hall
Page : 470 pages
File Size : 40,9 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 : E. B. Saff,Arthur David Snider
Publisher : Unknown
Page : 520 pages
File Size : 42,9 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 : Dennis Zill,Patrick Shanahan
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 55,9 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.

Author : Edward B. Saff,Arthur David Snider
Publisher : Pearson Higher Ed
Page : 521 pages
File Size : 44,7 Mb
Release : 2013-08-29
Category : Mathematics
ISBN : 9781292036885

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

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. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Author : John Stalker
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 53,7 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 : Saff
Publisher : Pearson Education India
Page : 580 pages
File Size : 52,6 Mb
Release : 2008-09
Category : Electronic
ISBN : 8131720195

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Fundamentals Of Complex Analysis: Applications To Engineering, Science, And Mathematics, 3/E by Saff Pdf

Author : Tarlok Nath Shorey
Publisher : Springer Nature
Page : 287 pages
File Size : 43,7 Mb
Release : 2020-11-13
Category : Mathematics
ISBN : 9789811590979

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Complex Analysis with Applications to Number Theory by Tarlok Nath Shorey Pdf

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions.

Author : Harold Cohen
Publisher : Springer
Page : 0 pages
File Size : 44,7 Mb
Release : 2008-11-01
Category : Mathematics
ISBN : 0387566287

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Complex Analysis with Applications in Science and Engineering by Harold Cohen Pdf

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Author : William R. Derrick
Publisher : Academic Press
Page : 233 pages
File Size : 46,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483260488

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Introductory Complex and Analysis Applications by William R. Derrick Pdf

Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series. Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions. This book is a valuable resource for undergraduate students in engineering and mathematics.

Author : Wolfgang Fischer,Ingo Lieb
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 49,9 Mb
Release : 2011-10-21
Category : Mathematics
ISBN : 9783834886613

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A Course in Complex Analysis by Wolfgang Fischer,Ingo Lieb Pdf

This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem ...) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.