[PDF] Complex Variables And The Laplace Transform For Engineers eBook

Author : Wilbur R. LePage
Publisher : Courier Corporation
Page : 516 pages
File Size : 16,50 MB
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 0486136442

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Acclaimed 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 : Yue Kuen Kwok
Publisher : Cambridge University Press
Page : 410 pages
File Size : 49,95 MB
Release : 2002-02-07
Category : Mathematics
ISBN : 9780521004626

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This is an introduction to complex variable methods for scientists and engineers. It begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. One feature that will appeal to scientists is the high proportion of the book devoted to applications of the material to physical problems. These include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. The text contains some 300 stimulating exercises of high quality, with solutions given to many of them. It will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.

Author : Vladimir Eiderman
Publisher : CRC Press
Page : 383 pages
File Size : 31,43 MB
Release : 2021-12-20
Category : Mathematics
ISBN : 100051112X

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The 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 : T. K. V. Iyengar, B. Krishna Gandhi, S. Ranganatham & M.V.S.S.N. Prasad
Publisher : S. Chand Publishing
Page : pages
File Size : 26,81 MB
Release :
Category : Science
ISBN : 9352838211

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Laplace Transforms, Numerical Methods & Complex Variables