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: 7503

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: 6016

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: 1891

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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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: 8920

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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Fourier Analysis in Several Complex Variables

Author: Leon Ehrenpreis

Publisher: Courier Corporation

ISBN: 0486153037

Category: Mathematics

Page: 528

View: 5821

Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.
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Fourier Series and Orthogonal Functions

Author: Harry F. Davis

Publisher: Courier Corporation

ISBN: 0486140733

Category: Mathematics

Page: 432

View: 4311

An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.
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Fourier Series

Author: Georgi P. Tolstov

Publisher: Courier Corporation

ISBN: 0486141748

Category: Mathematics

Page: 352

View: 5254

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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Fourier Series

Author: G. H. Hardy,W. W. Rogosinski

Publisher: Courier Corporation

ISBN: 0486316289

Category: Mathematics

Page: 112

View: 8676

Classic graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition.
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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: 6426

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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Fourier Analysis and Boundary Value Problems

Author: Enrique A. Gonzalez-Velasco

Publisher: Elsevier

ISBN: 9780080531939

Category: Mathematics

Page: 551

View: 6718

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Topics are covered from a historical perspective with biographical information on key contributors to the field The text contains more than 500 exercises Includes practical applications of the equations to problems in both engineering and physics
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Boundary Value Problems of Heat Conduction

Author: M. Necati Ozisik

Publisher: Courier Corporation

ISBN: 0486782867

Category: Technology & Engineering

Page: 512

View: 5595

Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and the integral method of solution of nonlinear conduction problems. Additional topics include useful transformations in the solution of nonlinear boundary value problems of heat conduction; numerical techniques such as the finite differences and the Monte Carlo method; and anisotropic solids in relation to resistivity and conductivity tensors. Illustrative examples and problems amplify the text, which is supplemented by helpful appendixes.
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Applied Partial Differential Equations

Author: Paul DuChateau,David Zachmann

Publisher: Courier Corporation

ISBN: 048614187X

Category: Mathematics

Page: 640

View: 1422

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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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: 3519

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 Analysis

Author: Cornelius Lanczos

Publisher: Courier Corporation

ISBN: 0486319261

Category: Mathematics

Page: 576

View: 2689

Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.
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Boundary and Eigenvalue Problems in Mathematical Physics

Author: Hans Sagan

Publisher: Courier Corporation

ISBN: 0486150925

Category: Science

Page: 399

View: 6317

Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.
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Chebyshev and Fourier Spectral Methods

Second Revised Edition

Author: John P. Boyd

Publisher: Courier Corporation

ISBN: 0486141926

Category: Mathematics

Page: 688

View: 7206

Completely revised text applies spectral methods to boundary value, eigenvalue, and time-dependent problems, but also covers cardinal functions, matrix-solving methods, coordinate transformations, much more. Includes 7 appendices and over 160 text figures.
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An Introduction to Fourier Series and Integrals

Author: Robert T. Seeley

Publisher: Courier Corporation

ISBN: 0486453073

Category: Mathematics

Page: 104

View: 712

A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.
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