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Fundamentals And Applications Of Complex Analysis


Fundamentals And Applications Of Complex Analysis
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Fundamentals And Applications Of Complex Analysis


Fundamentals And Applications Of Complex Analysis
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Author : Harold Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-31

Fundamentals And Applications Of Complex Analysis written by Harold Cohen 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 2003-07-31 with Mathematics categories.


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.



Fundamentals Of Complex Analysis


Fundamentals Of Complex Analysis
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Author : K. K. Dube
language : en
Publisher: I. K. International Pvt Ltd
Release Date : 2013-12-30

Fundamentals Of Complex Analysis written by K. K. Dube and has been published by I. K. International Pvt Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-30 with Calculus categories.


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



Fundamentals Of Complex Analysis With Applications To Engineering And Science


Fundamentals Of Complex Analysis With Applications To Engineering And Science
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Author : E. B. Saff
language : en
Publisher: Pearson
Release Date : 2003

Fundamentals Of Complex Analysis With Applications To Engineering And Science written by E. B. Saff and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


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.



Complex Analysis With Applications In Science And Engineering


Complex Analysis With Applications In Science And Engineering
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Author : Harold Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-23

Complex Analysis With Applications In Science And Engineering written by Harold Cohen 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 2010-04-23 with Mathematics categories.


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.



Fundamentals Of Complex Analysis With Applications To Engineering Science And Mathematics


Fundamentals Of Complex Analysis With Applications To Engineering Science And Mathematics
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Author : Edward B. Saff
language : en
Publisher: Pearson Higher Ed
Release Date : 2013-08-29

Fundamentals Of Complex Analysis With Applications To Engineering Science And Mathematics written by Edward B. Saff and has been published by Pearson Higher Ed this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-29 with Mathematics categories.


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.



Fundamentals Of Complex Analysis For Mathematics Science And Engineering


Fundamentals Of Complex Analysis For Mathematics Science And Engineering
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Author : E. B. Saff
language : en
Publisher: Prentice Hall
Release Date : 1976

Fundamentals Of Complex Analysis For Mathematics Science And Engineering written by E. B. Saff and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.




Fundamentals Of Complex Analysis Engineering Science And Mathematics


Fundamentals Of Complex Analysis Engineering Science And Mathematics
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Author : E. B. Saff
language : en
Publisher:
Release Date : 2013-07-18

Fundamentals Of Complex Analysis Engineering Science And Mathematics written by E. B. Saff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Functions of complex variables categories.


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.



Fundamentals Of Real And Complex Analysis


Fundamentals Of Real And Complex Analysis
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Author : Asuman Güven Aksoy
language : en
Publisher: Springer Nature
Release Date :

Fundamentals Of Real And Complex Analysis written by Asuman Güven Aksoy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




A First Course In Complex Analysis With Applications


A First Course In Complex Analysis With Applications
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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009

A First Course In Complex Analysis With Applications written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


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.



Complex Analysis


Complex Analysis
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Author : John Stalker
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03

Complex Analysis written by John Stalker 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 2009-10-03 with Mathematics categories.


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.