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An Introduction to Partial Differential Equations
Buch von Daniel Arrigo
Sprache: Englisch

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Beschreibung
This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter.
This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter.
Über den Autor
Daniel Arrigo earned his PhD from the Georgia Institute of Technology in 1991. He has been on staff in the Department of Mathematics at the University of Central Arkansas since 1999 and is currently Professor of Mathematics. He has published over 30 journal articles and three books. His research interests include the construction of exact solutions of PDEs; symmetry analysis of nonlinear PDEs; and solutions to physically important equations, such as nonlinear heat equations and governing equations modeling of granular materials and nonlinear elasticity. In 2008, Dr. Arrigo received the Oklahoma-Arkansas Section of the Mathematical Association of America's Award for Distinguished Teaching of College or University Mathematics and in 2019 the University of Central Arkansas's Teaching Excellence Award.
Zusammenfassung

Introduces methods and techniques for solving first and second order PDEs

Presents the main four PDEs (advection equation, diffusion equation, Laplace's equation, wave equation)

Contains numerous exercises throughout to facilitate learning

Inhaltsverzeichnis
Introduction.- First Order PDEs.- Second Order Linear PDEs.- Fourier Series.- Separation of Variables.- Fourier Transform.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Synthesis Lectures on Mathematics & Statistics
Inhalt: x
204 S.
31 s/w Illustr.
26 farbige Illustr.
204 p. 57 illus.
26 illus. in color.
ISBN-13: 9783031220869
ISBN-10: 3031220862
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Arrigo, Daniel
Auflage: 2nd ed. 2023
Hersteller: Springer International Publishing
Springer International Publishing AG
Synthesis Lectures on Mathematics & Statistics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 246 x 173 x 18 mm
Von/Mit: Daniel Arrigo
Erscheinungsdatum: 21.01.2023
Gewicht: 0,547 kg
Artikel-ID: 125731278
Über den Autor
Daniel Arrigo earned his PhD from the Georgia Institute of Technology in 1991. He has been on staff in the Department of Mathematics at the University of Central Arkansas since 1999 and is currently Professor of Mathematics. He has published over 30 journal articles and three books. His research interests include the construction of exact solutions of PDEs; symmetry analysis of nonlinear PDEs; and solutions to physically important equations, such as nonlinear heat equations and governing equations modeling of granular materials and nonlinear elasticity. In 2008, Dr. Arrigo received the Oklahoma-Arkansas Section of the Mathematical Association of America's Award for Distinguished Teaching of College or University Mathematics and in 2019 the University of Central Arkansas's Teaching Excellence Award.
Zusammenfassung

Introduces methods and techniques for solving first and second order PDEs

Presents the main four PDEs (advection equation, diffusion equation, Laplace's equation, wave equation)

Contains numerous exercises throughout to facilitate learning

Inhaltsverzeichnis
Introduction.- First Order PDEs.- Second Order Linear PDEs.- Fourier Series.- Separation of Variables.- Fourier Transform.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Synthesis Lectures on Mathematics & Statistics
Inhalt: x
204 S.
31 s/w Illustr.
26 farbige Illustr.
204 p. 57 illus.
26 illus. in color.
ISBN-13: 9783031220869
ISBN-10: 3031220862
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Arrigo, Daniel
Auflage: 2nd ed. 2023
Hersteller: Springer International Publishing
Springer International Publishing AG
Synthesis Lectures on Mathematics & Statistics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 246 x 173 x 18 mm
Von/Mit: Daniel Arrigo
Erscheinungsdatum: 21.01.2023
Gewicht: 0,547 kg
Artikel-ID: 125731278
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