Complex Variables with Applications

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Release : 2007-05-26
Genre : Mathematics
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Book Rating : 136/5 ( reviews)

Complex Variables with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Variables with Applications write by Saminathan Ponnusamy. This book was released on 2007-05-26. Complex Variables with Applications available in PDF, EPUB and Kindle. Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

Complex Variables and Their Applications

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Release : 1999
Genre : Mathematics
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Book Rating : /5 ( reviews)

Complex Variables and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Variables and Their Applications write by Anthony D. Osborne. This book was released on 1999. Complex Variables and Their Applications available in PDF, EPUB and Kindle. An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included. Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.

Complex Variables

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Release : 2007-09-19
Genre : Mathematics
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Book Rating : 956/5 ( reviews)

Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Variables write by Steven G. Krantz. This book was released on 2007-09-19. Complex Variables available in PDF, EPUB and Kindle. From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice. The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including Mathematica®, MapleTM, and MATLAB®, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical sciences.

Applied Complex Variables

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Release : 2012-05-07
Genre : Mathematics
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Book Rating : 284/5 ( reviews)

Applied Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Complex Variables write by John W. Dettman. This book was released on 2012-05-07. Applied Complex Variables available in PDF, EPUB and Kindle. 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.

Complex Analysis with Applications

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Release : 1984-01-01
Genre : Mathematics
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Book Rating : 623/5 ( reviews)

Complex Analysis with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Analysis with Applications write by Richard A. Silverman. This book was released on 1984-01-01. Complex Analysis with Applications available in PDF, EPUB and Kindle. The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.