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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 |
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 |
Sicherheitshinweis