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Fourier Analysis And Boundary Value Problems

Author: Enrique A. Gonzalez-Velasco
Publisher: Elsevier
ISBN: 9780080531939
Size: 29.25 MB
Format: PDF, ePub
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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

Fourier Series Transforms And Boundary Value Problems

Author: J. Ray Hanna
Publisher: Courier Corporation
ISBN: 0486466736
Size: 40.69 MB
Format: PDF, Kindle
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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: James Ward Brown
Publisher: McGraw-Hill Science/Engineering/Math
ISBN: 9780071086158
Size: 45.90 MB
Format: PDF, Mobi
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The text is made up of Thermodynamics, Heat Transfer and Fluids. Like all the other Cengel texts, it uses a similar pedagogical approach, by using familiar everyday examples followed by theory and analysis.

Partial Differential Equations With Fourier Series And Boundary Value Problems

Author: Nakhle H. Asmar
Publisher: Courier Dover Publications
ISBN: 0486820831
Size: 42.31 MB
Format: PDF, ePub, Docs
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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.

Introduction To Partial Differential Equations

Author: Arne Broman
Publisher: Courier Corporation
ISBN: 0486153010
Size: 28.60 MB
Format: PDF, Kindle
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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.

Harmonic Analysis And Boundary Value Problems In The Complex Domain

Author: M.M. Djrbashian
Publisher: Birkhäuser
ISBN: 3034885490
Size: 20.63 MB
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As is well known, the first decades of this century were a period of elaboration of new methods in complex analysis. This elaboration had, in particular, one char acteristic feature, consisting in the interfusion of some concepts and methods of harmonic and complex analyses. That interfusion turned out to have great advan tages and gave rise to a vast number of significant results, of which we want to mention especially the classical results on the theory of Fourier series in L2 ( -7r, 7r) and their continual analog - Plancherel's theorem on the Fourier transform in L2 ( -00, +00). We want to note also two important Wiener and Paley theorems on parametric integral representations of a subclass of entire functions of expo nential type in the Hardy space H2 over a half-plane. Being under the strong influence of these results, the author began in the fifties a series of investigations in the theory of integral representations of analytic and entire functions as well as in the theory of harmonic analysis in the com plex domain. These investigations were based on the remarkable properties of the asymptotics of the entire function (p, J1 > 0), which was introduced into mathematical analysis by Mittag-Leffler for the case J1 = 1. In the process of investigation, the scope of some classical results was essentially enlarged, and the results themselves were evaluated.

Schaum S Outline Of Theory And Problems Of Probability And Statistics

Author: Murray R. Spiegel
ISBN: 9780071183574
Size: 55.43 MB
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Schaum's Outline of Probability and Statistics has become a vital resource for the more than 977,000 college students who enroll in related probability and statistics courses each year. Its big-picture, calculus-based approach makes it an especially authoritative reference for engineering and science majors. Now thoroughly updated, this second edition includes vital new coverage of order statistics, best critical regions, likelihood ratio tests, and other key topics.

Applied Partial Differential Equations

Author: Richard Haberman
Publisher: Prentice Hall
ISBN: 9780130652430
Size: 11.28 MB
Format: PDF, Kindle
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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.

Ordinary And Partial Differential Equations

Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 0387791469
Size: 30.58 MB
Format: PDF, Docs
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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.