Fundamentals and Applications of Complex Analysis

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Release : 2003-07-31
Genre : Mathematics
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Book Rating : 485/5 ( reviews)

Fundamentals and Applications of Complex Analysis - 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 Fundamentals and Applications of Complex Analysis write by Harold Cohen. This book was released on 2003-07-31. Fundamentals and Applications of Complex Analysis available in PDF, EPUB and Kindle. 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 with Applications to Engineering and Science (Classic Version)

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Release : 2017-02-13
Genre : Functions of complex variables
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Book Rating : 487/5 ( reviews)

Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) - 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 Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) write by Edward Saff. This book was released on 2017-02-13. Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) available in PDF, EPUB and Kindle. 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.

Complex Analysis with Applications to Number Theory

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Release : 2020-11-13
Genre : Mathematics
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Book Rating : 974/5 ( reviews)

Complex Analysis with Applications to Number Theory - 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 to Number Theory write by Tarlok Nath Shorey. This book was released on 2020-11-13. Complex Analysis with Applications to Number Theory available in PDF, EPUB and Kindle. 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.

Fundamentals of Complex Analysis

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Release : 2013-12-30
Genre : Calculus
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Book Rating : 021/5 ( reviews)

Fundamentals of Complex Analysis - 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 Fundamentals of Complex Analysis write by K. K. Dube. This book was released on 2013-12-30. Fundamentals of Complex Analysis available in PDF, EPUB and Kindle. 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

Complex Analysis with Applications in Science and Engineering

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Release : 2010-04-23
Genre : Mathematics
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Book Rating : 583/5 ( reviews)

Complex Analysis with Applications in Science and Engineering - 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 in Science and Engineering write by Harold Cohen. This book was released on 2010-04-23. Complex Analysis with Applications in Science and Engineering available in PDF, EPUB and Kindle. 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.