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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: 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: 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: 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: 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: H. F. Weinberger
Publisher: Courier Corporation
Published: 2012-04-20
Total Pages: 482
ISBN-13: 0486132048
DOWNLOAD EBOOKSuitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.
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.
Author: Roger Penrose
Publisher: Cambridge University Press
Published: 1984
Total Pages: 516
ISBN-13: 9780521347860
DOWNLOAD EBOOKIn the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Author: P.P.G. Dyke
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 257
ISBN-13: 1447105052
DOWNLOAD EBOOKThis introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
Author: Stephen D. Fisher
Publisher: Courier Corporation
Published: 2012-04-25
Total Pages: 450
ISBN-13: 0486134849
DOWNLOAD EBOOKTopics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.
