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Fourier Series

Author: Georgi P. Tolstov
Publisher: Courier Corporation
ISBN: 0486141748
Size: 18.25 MB
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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.

Fourier Series

Author: G. H. Hardy
Publisher: Courier Corporation
ISBN: 0486316289
Size: 28.94 MB
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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.

Fourier Series And Orthogonal Functions

Author: Harry F. Davis
Publisher: Courier Corporation
ISBN: 0486140733
Size: 62.18 MB
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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.

Partial Differential Equations With Fourier Series And Boundary Value Problems

Author: Nakhle H. Asmar
Publisher: Courier Dover Publications
ISBN: 0486820831
Size: 36.65 MB
Format: PDF, ePub
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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: 41.17 MB
Format: PDF
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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.

An Introduction To Fourier Series And Integrals

Author: Robert T. Seeley
Publisher: Courier Corporation
ISBN: 0486151794
Size: 11.73 MB
Format: PDF
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DIVThis compact guide emphasizes the relationship between physics and mathematics, introducing Fourier series in the way that Fourier himself used them: as solutions of the heat equation in a disk. 1966 edition. /div

Fourier Series And Orthogonal Polynomials

Author: Dunham Jackson
Publisher: Courier Corporation
ISBN: 9780486438085
Size: 38.60 MB
Format: PDF
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This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.

An Elementary Treatise On Fourier S Series

Author: William Elwood Byerly
Publisher: Courier Corporation
ISBN: 0486159906
Size: 12.54 MB
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Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. The subsequent growth of science into a diverse range of specialties has enhanced the value of this classic, whose thorough, basic treatment presents material that is assumed in many other studies but seldom available in such concise form. The development of functions, series, and their differential equations receives detailed explanations, and throughout the text, theory is applied to practical problems, with the solutions fully worked out. In addition, 190 problems, many with hints, are included. 1893 edition. Appendix of 6 tables.

Fourier Transforms

Author: Ian Naismith Sneddon
Publisher: Courier Corporation
ISBN: 9780486685229
Size: 22.62 MB
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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.