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Theory and Applications of Partial Differential Equations : Mathematical Concepts and Methods in Science and Engineering - Piero Bassanini

Theory and Applications of Partial Differential Equations

Mathematical Concepts and Methods in Science and Engineering


Published: 31st December 1997
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This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O.

`Informative and clearly and concisely written...Bassanini and Elcrat offer an excellent pedagogical resource.' Choice, October 1998

Introduction to Partial Differential Equations
Wave Equation
Heat Equation
Laplace Equation
Elliptic Partial Differential Equations of Second Order
Abstract Evolution Equations
Hyperbolic Systems of Conservation Laws in One Space Variable
Distributions and Sobolev Spaces
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780306456404
ISBN-10: 0306456400
Series: Mathematical Concepts and Methods in Science and Engineering
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 444
Published: 31st December 1997
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 23.4 x 15.6  x 2.54
Weight (kg): 1.77