Fourier Series, Transforms, and Boundary Value Problems

Second Edition

Author: J. Ray Hanna,John H. Rowland

Publisher: Courier Corporation

ISBN: 0486466736

Category: Mathematics

Page: 354

View: 3486

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This volume introduces Fourier and transform methods for solutions to boundary value problems associated with natural phenomena. Unlike most treatments, it emphasizes basic concepts and techniques rather than theory. Many of the exercises include solutions, with detailed outlines that make it easy to follow the appropriate sequence of steps. 1990 edition.
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Fourier Transforms

Author: Ian Naismith Sneddon

Publisher: Courier Corporation

ISBN: 9780486685229

Category: Mathematics

Page: 542

View: 2355

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Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.
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Partial Differential Equations with Fourier Series and Boundary Value Problems

Third Edition

Author: Nakhle H. Asmar

Publisher: Courier Dover Publications

ISBN: 0486820831

Category: Mathematics

Page: 816

View: 2842

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This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section. Relevant Mathematica files are available for download from author Nakhlé Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the Instructor's Solutions Manual is available upon request for professors and potential teachers. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations.
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Fourier and Laplace Transforms

Author: H. G. ter Morsche,J. C. van den Berg,E. M. van de Vrie

Publisher: Cambridge University Press

ISBN: 9780521534413

Category: Mathematics

Page: 447

View: 1206

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This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
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A First Course in Partial Differential Equations

with Complex Variables and Transform Methods

Author: H. F. Weinberger

Publisher: Courier Corporation

ISBN: 0486132048

Category: Mathematics

Page: 480

View: 5525

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Suitable 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.
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Applied Partial Differential Equations

Author: Paul DuChateau,David Zachmann

Publisher: Courier Corporation

ISBN: 048614187X

Category: Mathematics

Page: 640

View: 8811

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DIVBook focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included. /div
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Introduction to Partial Differential Equations

From Fourier Series to Boundary-Value Problems

Author: Arne Broman

Publisher: Courier Corporation

ISBN: 0486153010

Category: Mathematics

Page: 192

View: 7959

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The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.
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Boundary Value Problems of Applied Mathematics

Second Edition

Author: John L. Troutman,Maurino P. Bautista

Publisher: Courier Dover Publications

ISBN: 0486812227

Category: Mathematics

Page: 528

View: 5623

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This text is geared toward advanced undergraduates and graduate students in mathematics who have some familiarity with multidimensional calculus and ordinary differential equations. Includes a substantial number of answers to selected problems. 1994 edition.
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Boundary and Eigenvalue Problems in Mathematical Physics

Author: Hans Sagan

Publisher: Courier Corporation

ISBN: 9780486661322

Category: Science

Page: 381

View: 3523

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This well-known advanced undergraduate- and graduate-level text uses a few basic concepts to solve and develop complete answers to linear homogeneous partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. With problems and solutions. 31 illustrations.
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Fourier Series

Author: Georgi P. Tolstov

Publisher: Courier Corporation

ISBN: 0486141748

Category: Mathematics

Page: 352

View: 2447

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This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and more. Over 100 problems. 1962 edition.
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