Boundary Value Problems, Fifth Edition, is the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables.
Professors and students agree that Powers is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering. His expertise is fully apparent in this updated text. The text progresses at a comfortable pace for undergraduates in engineering and mathematics, illustrating the classical methods with clear explanations and hundreds of exercises.
This updated edition contains many new features, including nearly 900 exercises ranging in difficulty, chapter review questions, and many fully worked examples. This text is ideal for professionals and students in mathematics and engineering, especially those working with partial differential equations.
Rezensionen / Stimmen
"[Boundary Value Problems] contains many novel problems inspired by the scientific literature. I appreciate that many of these problems include realistic parameter values, and that I can easily extend them to make them more open-ended or to involve numeric or symbolic mathematical programs."
-Darryl Yong, Harvey Mudd College
"This book provides a great introduction to solving partial differential equations. Students will find the level of the text to be understandable. The pace is comfortable where review and fundamental building blocks reinforce student skills while directing these details toward application in later sections."
-Catherine Crawford, Elmhurst College
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für höhere Schule und Studium
Professional and students in mathematics and engineering especially those working with partial differential equations
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-563738-1 (9780125637381)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
David Powers has taught applied mathematics for over 40 years. His research includes matrix theory, graph theory and applications to biochemistry and engineering.
Autor*in
Clarkson University, Potsdam, NY, USA
Preface
Chapter 0 -- Differential Equations
Chapter 1 -- Fourier Series and Integrals
Chapter 2-- The Heat Equation
Chapter 3 -- The Wave Equation
Chapter 4 -- The Potential Equation
Chapter 5 -- Higher Dimensions & Other Coordinates
Chapter 6 -- Laplace Transform
Chapter 7 -- Numerical Methods
Bibliography
Appendix
Answers to Odd Numbered Exercises
Index
