Partial Differential Equations: An Introduction

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John Wiley & Sons, Dec 21, 2007 - Mathematics - 464 pages
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Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables. While focusing on the three most classical partial differential equations (PDEs)—the wave, heat, and Laplace equations—this detailed text also presents a broad practical perspective that merges mathematical concepts with real-world application in diverse areas including molecular structure, photon and electron interactions, radiation of electromagnetic waves, vibrations of a solid, and many more.

Rigorous pedagogical tools aid in student comprehension; advanced topics are introduced frequently, with minimal technical jargon, and a wealth of exercises reinforce vital skills and invite additional self-study. Topics are presented in a logical progression, with major concepts such as wave propagation, heat and diffusion, electrostatics, and quantum mechanics placed in contexts familiar to students of various fields in science and engineering. By understanding the properties and applications of PDEs, students will be equipped to better analyze and interpret central processes of the natural world.


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User Review  - divisionbyzer0 -

This text is widely disparaged by underdgraduate students and with good reason. The writing is hasty, unclear, and the the author expects much of the reader. DO NOT BOTHER even cracking this book open ... Read full review


Chapter 1Where PDEs Come From
Chapter 2Waves and Diffusions
Chapter 3Reflections and Sources
Chapter 4Boundary Problems
Chapter 5Fourier Series
Chapter 6Harmonic Functions
Chapter 7Greens Identities and Greens Functions
Chapter 10Boundaries in the Plane and in Space
Chapter 12Distributions and Transforms
Chapter 13PDE Problems from Physics
Chapter 14Nonlinear PDEs
References 427
Index 446

Chapter 8Computation of Solutions
Chapter 9Waves in Space

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About the author (2007)

Dr. Walter Brown is a professor of mathematics at Brown University. He has published numerous journal articles and papers. Not only is he is a member of the Division of Applied Mathematics and the Lefschetz Center for Dynamical Systems, but he is currently serving as the Editor in Chief of the SIAM Journal on Mathematical Analysis. Dr. Brown's research interests include Partial Differential Equations, Mathematical Physics, Stability Theory, Solitary Waves, Kinetic Theory of Plasmas, Scattering Theory, Water Waves, Dispersive Waves.

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