Partial Differential Equations (Graduate Texts in Mathematics)

• Publisher:   Springer
• Number Of Pages:   263
• Publication Date:   1997-01-09
• ISBN-10 / ASIN:   0387974725
• ISBN-13 / EAN:   9780387974729

The objective of this book is to present an introduction to the ideas, phenomena, and methods of partial differential equations. This material can be presented in one semester and requires no previous knowledge of differential equations, but assumes the reader to be familiar with advanced calculus, real analysis, the rudiments of complex analysis, and thelanguage of functional analysis. Topics discussed in the text include elliptic, hyperbolic, and parabolic equations, the energy method, maximum principle, and the Fourier Transform. The text features many historical and scientific motivations and applications. Included throughout are exercises, hints, and discussions which form an important and integral part of the course.

There appears to be a problem with Amazon's links between two books of the same title ("Partial Differential Equations"), one by Fritz John and another by Jeffrey Rauch, so that both links go to the same place.

Both books cover pretty much the same material, but the levels of difficulty and approaches differ widely. John's book focuses on advanced solutions techniques for the various types of equations, and is suitable for math majors as well as for advanced undergraduates or graduate students in physics or engineering. Rauch's book is much more theoretical and requires more mathematical maturity than John. It is probably of interest only to graduate mathematics students, who would probably find the presentation very interesting regardless of their specialization area.

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