Fourier Series

Author: Georgi P. Tolstov

Publisher: Courier Corporation

ISBN: 0486141748

Category: Mathematics

Page: 352

View: 3302

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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Fouriersche Reihen

mit 4 Figuren

Author: Werner Rogosinski

Publisher: N.A

ISBN: N.A

Category: Fourier series

Page: 135

View: 2960

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Fourier Series

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

Publisher: Courier Corporation

ISBN: 0486316289

Category: Mathematics

Page: 112

View: 3156

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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Fourier Series and Orthogonal Functions

Author: Harry F. Davis

Publisher: Courier Corporation

ISBN: 0486140733

Category: Mathematics

Page: 432

View: 2591

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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An Introduction to Lebesgue Integration and Fourier Series

Author: Howard J. Wilcox,David L. Myers

Publisher: Courier Corporation

ISBN: 0486137473

Category: Mathematics

Page: 159

View: 1930

Undergraduate-level introduction to Riemann integral, measurable sets, measurable functions, Lebesgue integral, other topics. Numerous examples and exercises.
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Fourier Series and Orthogonal Polynomials

Author: Dunham Jackson

Publisher: Courier Corporation

ISBN: 9780486438085

Category: Mathematics

Page: 234

View: 9035

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.
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An Introduction to Fourier Series and Integrals

Author: Robert T. Seeley

Publisher: Courier Corporation

ISBN: 0486151794

Category: Mathematics

Page: 112

View: 1602

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
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Fourier Transforms

Author: Ian Naismith Sneddon

Publisher: Courier Corporation

ISBN: 9780486685229

Category: Mathematics

Page: 542

View: 6968

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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Fourier Series and Orthogonal Functions

Author: Harry F. Davis

Publisher: Courier Corporation

ISBN: 9780486659732

Category: Mathematics

Page: 403

View: 8940

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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An Elementary Treatise on Fourier's Series

and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical

Author: William Elwood Byerly

Publisher: Courier Corporation

ISBN: 0486159906

Category: Mathematics

Page: 304

View: 6108

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.
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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: 840

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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Partielle Differentialgleichungen

Eine Einführung

Author: Walter A. Strauss

Publisher: Springer-Verlag

ISBN: 366312486X

Category: Mathematics

Page: 458

View: 660

Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.
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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: 4083

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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Orthogonal Functions

Author: Giovanni Sansone

Publisher: Courier Corporation

ISBN: 0486438015

Category: Mathematics

Page: 411

View: 1799

The theory of orthogonal expansions had its origin in the debate concerning the vibrating string which animated the mathematical world two hundred years ago. It has since become an important area of modern mathematical thought. This highly regarded treatise presents the classical theory of orthogonal series with rigorous attention to detail and appropriate technique, but in an easy-to-read style. The book contains a wealth of information, factual and bibliographical, that will prove especially valuable to the applied mathematician who very often does not have access to original papers. He will find here a rich compilation of general results and convenient criteria concerning Fourier series, Legendre series, Laguerre and Hermite polynomials. Until the publication of this book, much of the material had not been published in English; this excellent translation by Ainsley H. Diamond, available now for the first time in paperback, makes it widely accessible to the English-speaking mathematics community.
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Mathematisches Denken

Vom Vergnügen am Umgang mit Zahlen

Author: T.W. Körner

Publisher: Springer-Verlag

ISBN: 3034850018

Category: Science

Page: 719

View: 4637

Dieses Buch wendet sich zuallererst an intelligente Schüler ab 14 Jahren sowie an Studienanfänger, die sich für Mathematik interessieren und etwas mehr als die Anfangsgründe dieser Wissenschaft kennenlernen möchten. Es gibt inzwischen mehrere Bücher, die eine ähnliche Zielstellung verfolgen. Besonders gern erinnere ich mich an das Werk Vom Einmaleins zum Integral von Colerus, das ich in meiner Kindheit las. Es beginnt mit der folgenden entschiedenen Feststellung: Die Mathematik ist eine Mausefalle. Wer einmal in dieser Falle gefangen sitzt, findet selten den Ausgang, der zurück in seinen vormathematischen Seelenzustand leitet. ([49], S. 7) Einige dieser Bücher sind im Anhang zusammengestellt und kommen tiert. Tatsächlich ist das Unternehmen aber so lohnenswert und die Anzahl der schon vorhandenen Bücher doch so begrenzt, daß ich mich nicht scheue, ihnen ein weiteres hinzuzufügen. An zahlreichen amerikanischen Universitäten gibt es Vorlesungen, die gemeinhin oder auch offiziell als ,,Mathematik für Schöngeister'' firmieren. Dieser Kategorie ist das vorliegende Buch nicht zuzuordnen. Statt dessen soll es sich um eine ,,Mathematik für Mathematiker'' handeln, für Mathema tiker freilich, die noch sehr wenig von der Mathematik verstehen. Weshalb aber sollte nicht der eine oder andere von ihnen eines Tages den Autor dieses 1 Buches durch seine Vorlesungen in Staunen versetzen? Ich hoffe, daß auch meine Mathematikerkollegen Freude an dem Werk haben werden, und ich würde mir wünschen, daß auch andere Leser, bei denen die Wertschätzung für die Mathematik stärker als die Furcht vor ihr ist, Gefallen an ihm finden mögen.
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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: 4462

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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Galoissche Theorie

Author: Emil Artin

Publisher: N.A

ISBN: N.A

Category: Galois theory

Page: 86

View: 5320

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An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics

Author: William Elwood Byerly

Publisher: Courier Corporation

ISBN: 9780486495460

Category: Mathematics

Page: 287

View: 2772

This classic text is one of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. Includes 190 problems, approximately half with answers. 1893 edition.
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Infinite Series

Author: Isidore Isaac Hirschman

Publisher: Courier Corporation

ISBN: 0486798240

Category: Mathematics

Page: 192

View: 2249

Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.
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