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Author: Wilbur R. LePage
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 516
ISBN-13: 0486136442
DOWNLOAD EBOOKAcclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.
Author: Saminathan Ponnusamy
Publisher: Springer Science & Business Media
Published: 2007-05-26
Total Pages: 521
ISBN-13: 0817645136
DOWNLOAD EBOOKExplores 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
Author: M. W. McLachlan
Publisher: Cambridge University Press
Published: 2012-01-26
Total Pages: 403
ISBN-13: 0521154154
DOWNLOAD EBOOKThis book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.
Author: Matiur Rahman
Publisher: Southhampton, UK : Computational Mechanics Publications
Published: 1997
Total Pages: 352
ISBN-13:
DOWNLOAD EBOOKBased on a series of lectures given by the author this text is designed for undergraduate students with an understanding of vector calculus, solution techniques of ordinary and partial differential equations and elementary knowledge of integral transforms. It will also be an invaluable reference to scientists and engineers who need to know the basic mathematical development of the theory of complex variables in order to solve field problems. The theorems given are well illustrated with examples.
Author: Norman William McLachlan
Publisher:
Published: 1963
Total Pages: 398
ISBN-13:
DOWNLOAD EBOOKAuthor: Vladimir Eiderman
Publisher: CRC Press
Published: 2021-12-20
Total Pages: 383
ISBN-13: 100051112X
DOWNLOAD EBOOKThe aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.
Author:
Publisher:
Published: 1953
Total Pages: 128
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher: CUP Archive
Published:
Total Pages: 404
ISBN-13:
DOWNLOAD EBOOKAuthor: John W. Dettman
Publisher: Courier Corporation
Published: 2012-05-07
Total Pages: 514
ISBN-13: 0486158284
DOWNLOAD EBOOKFundamentals 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: Mark J. Ablowitz
Publisher: Cambridge University Press
Published: 1997-02-13
Total Pages: 664
ISBN-13: 9780521485234
DOWNLOAD EBOOKIn addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.
