Fourier Series And Boundary Value Problems

ISBN: 9780078035975
Author: James Brown
Publisher: McGraw-Hill Education
Size: 63.77 MB
Format: PDF, ePub, Docs
View: 2541


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 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. The book is a thorough revision of the seventh edition and much care is taken to give the student fewer distractions when determining solutions of eigenvalue problems, and other topics have been presented in their own sections like Gibbs' Phenomenon and the Poisson integral formula.

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Fourier Series Transforms And Boundary Value Problems

ISBN: 0486137201
Author: J. Ray Hanna
Publisher: Courier Corporation
Size: 17.13 MB
Format: PDF, Docs
View: 1766


This introduction to Fourier and transform methods emphasizes basic techniques rather than theoretical concepts. It explains the essentials of the Fourier method and presents detailed considerations of modeling and solutions of physical problems. All solutions feature well-drawn outlines that allow students to follow an appropriate sequence of steps, and many of the exercises include answers. The chief focus of this text is the application of the Fourier method to physical problems, which are described mathematically in terms of boundary value problems. Problems involving separation of variables, Sturm-Liouville theory, superposition, and boundary complaints are addressed in a logical sequence. Multidimensional Fourier series solutions and Fourier integral solutions on unbounded domains are followed by the special functions of Bessel and Legendre, which are introduced to deal with the cylindrical and spherical geometry of boundary value problems. Students and professionals in mathematics, the physical sciences, and engineering will find this volume an excellent study guide and resource.

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Introduction To Fourier Series And Boundary Value Problems

ISBN:
Author: Ruel Vance Churchill
Publisher:
Size: 18.76 MB
Format: PDF
View: 7373




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Introduction To Partial Differential Equations

ISBN: 0486153010
Author: Arne Broman
Publisher: Courier Corporation
Size: 68.76 MB
Format: PDF, Kindle
View: 1565


This well-written, advanced-level text introduces students to Fourier analysis and some of its applications. 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. Over 260 exercises with solutions reinforce students' grasp of the material. 1970 edition.

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Applied Partial Differential Equations

ISBN: 9780321797056
Author: Richard Haberman
Publisher: Pearson College Division
Size: 32.51 MB
Format: PDF, ePub, Docs
View: 5943


Normal 0 false false false This book 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.

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Partial Differential Equations With Fourier Series And Boundary Value Problems

ISBN: 0486820831
Author: Nakhle H. Asmar
Publisher: Courier Dover Publications
Size: 56.81 MB
Format: PDF, Mobi
View: 5695


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 Series And Boundary Value Problems

ISBN: 9780070636606
Author: Brown
Publisher: Tata McGraw-Hill Education
Size: 11.23 MB
Format: PDF, ePub, Mobi
View: 6835




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