Basic partial differential equations
Author(s)
Bibliographic Information
Basic partial differential equations
Van Nostrand Reinhold, c1992
Available at / 7 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:515/b6152070258241
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Note
Includes bibliographical references (p. R-1-R12) and indexes
Description and Table of Contents
Description
Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. You'll learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavors involving reasonably smooth, predictable changes of measurable quantities. Basis partial differential equations enable you not only to find solution of many PDEs, but also to interpret and use these solutions. If offers 600 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Over 280 examples are worked out in detail. Applications include heat conduction, wave propagation fluid flow, electrostatics, quantum mechanics, minimal surfaces, gravitation, and vibrations of strings, square drums, round drums and spheres. This book should be of interest to undergraduate and postgraduate students taking mathematics courses.
Table of Contents
- Review and introduction
- First-order PDEs
- The heat equation
- Fourier series and Sturm-Liouville theory
- The wave equation
- Laplace's equation
- Fourier transforms
- Numerical solutions: an introduction
- PDEs in higher dimensions.
by "Nielsen BookData"