## 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:**3887

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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.

## Fourier Series and Boundary Value Problems

**Author**: Ruel Vance Churchill,James Ward Brown

**Publisher:**McGraw-Hill Companies

**ISBN:**N.A

**Category:**Boundary value problems

**Page:**271

**View:**8817

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## Fourier Series and Boundary Value Problems

**Author**: James Ward Brown,Ruel Vance Churchill

**Publisher:**McGraw-Hill Science Engineering

**ISBN:**9780072325706

**Category:**Mathematics

**Page:**344

**View:**5307

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Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by mathematics students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.

## 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:**804

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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.

## Fourier Series and Boundary Value Problems

**Author**: James Brown,Ruel Churchill

**Publisher:**McGraw-Hill Higher Education

**ISBN:**0077418905

**Category:**Education

**Page:**292

**View:**7594

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## Partial Differential Equations with Fourier Series and Boundary Value Problems

**Author**: Nakhlé H. Asmar

**Publisher:**Prentice Hall

**ISBN:**N.A

**Category:**Mathematics

**Page:**802

**View:**9343

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This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations.

## Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version)

**Author**: Richard Haberman

**Publisher:**Pearson

**ISBN:**9780134995434

**Category:**Boundary value problems

**Page:**784

**View:**7730

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This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

## Fourier Series and Boundary Value Problems

**Author**: Brown

**Publisher:**Tata McGraw-Hill Education

**ISBN:**9780070636606

**Category:**Boundary value problems

**Page:**366

**View:**6762

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## FOURIER SERIES AND BOUNDARY VALUE PROBLEMS

**Author**: RUEL V. CHUCHILL

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**8573

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## Applied Partial Differential Equations

*With Fourier Series and Boundary Value Problems*

**Author**: Richard Haberman

**Publisher:**Prentice Hall

**ISBN:**9780130652430

**Category:**Mathematics

**Page:**769

**View:**8862

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Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linear wave equations and a brief introduction to Laplace transform solution of partial differential equations. For scientists and engineers.

## Fourier series and integrals of boundary value problems

**Author**: J. Ray Hanna

**Publisher:**John Wiley & Sons

**ISBN:**N.A

**Category:**Mathematics

**Page:**271

**View:**5072

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## Boundary Value Problems

*And Partial Differential Equations*

**Author**: David L. Powers

**Publisher:**Academic Press

**ISBN:**0125637381

**Category:**Mathematics

**Page:**501

**View:**6435

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Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering. * CD with animations and graphics of solutions, additional exercises and chapter review questions * Nearly 900 exercises ranging in difficulty * Many fully worked examples

## Fourier Analysis and Boundary Value Problems

**Author**: Enrique A. Gonzalez-Velasco

**Publisher:**Elsevier

**ISBN:**9780080531939

**Category:**Mathematics

**Page:**551

**View:**5364

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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

## Elementary Applied Partial Differential Equations

*With Fourier Series and Boundary Value Problems*

**Author**: Richard Haberman

**Publisher:**N.A

**ISBN:**9780132638074

**Category:**Mathematics

**Page:**736

**View:**5924

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KEY BENEFIT Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations. KEY TOPICS Leading readers from simple exercises through increasingly powerful mathematical techniques, this book discusses hear flow and vibrating strings and membranes, for a better understand of the relationship between mathematics and physical problems. It also emphasizes problem solving and provides a thorough approach to solutions. The third edition of , Elementary Applied Partial Differential Equations; With Fourier Series and Boundary Value Problems has been revised to include a new chapter covering dispersive waves. It also includes new sections covering fluid flow past a circular cylinder; reflection and refraction of light and sound waves; the finite element method; partial differential equations with spherical geometry; eigenvalue problems with a continuous and discrete spectrum; and first-order nonlinear partial differential equations. An essential reference for any technical or mathematics professional.

## Ordinary and Partial Differential Equations

*With Special Functions, Fourier Series, and Boundary Value Problems*

**Author**: Ravi P. Agarwal,Donal O'Regan

**Publisher:**Springer Science & Business Media

**ISBN:**0387791469

**Category:**Mathematics

**Page:**410

**View:**3160

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In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

## Partial Differential Equations and Boundary-value Problems with Applications

**Author**: Mark A. Pinsky

**Publisher:**American Mathematical Soc.

**ISBN:**0821868896

**Category:**Mathematics

**Page:**526

**View:**5569

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Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

## Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems

**Author**: Murray R. Spiegel,Murray R. Spiegel מורי ר. שפיגל,Spiegel Murray R

**Publisher:**McGraw Hill Professional

**ISBN:**9780070602199

**Category:**Juvenile Nonfiction

**Page:**191

**View:**3021

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For use as supplement or as textbook.