Free PDF Lectures on Linear Partial Differential Equations (Graduate Studies in Mathematics), by Gregory Eskin
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Lectures on Linear Partial Differential Equations (Graduate Studies in Mathematics), by Gregory Eskin
Free PDF Lectures on Linear Partial Differential Equations (Graduate Studies in Mathematics), by Gregory Eskin
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This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces with many examples and applications to equations with constant coefficients. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory. The book also covers microlocal analysis, including the theory of pseudodifferential and Fourier integral operators, and the propagation of singularities for operators of real principal type. Among the more advanced topics are the global theory of Fourier integral operators and the geometric optics construction in the large, the Atiyah-Singer index theorem in $\mathbb R^n$, and the oblique derivative problem.
- Sales Rank: #890330 in Books
- Published on: 2011-07-06
- Original language: English
- Dimensions: 10.25" h x 7.25" w x 1.25" l, 2.00 pounds
- Binding: Hardcover
- 410 pages
Review
''The choice of the arguments and the presentation level is really outstanding...this is a wonderful book,� very well adapted to a graduate level, that covers not only 'classical' topics, but also not so 'conventional', and gives, with a renewed vigor, a broad and unified knowledge of the theory of PDEs"
- Mathematical reviews
This is a very good book for graduate students and for mathematicians interested in Fourier analysis and PDEs...The choice of topics is progressive, the presentation is clear, rigorous and inviting.The reader feels encouraged to learn what follows...The book is very well written...I would recommend this book without reservations" - MAA reviews
This is a wonderful book, very well adapted to a graduate level, that covers not only 'classical' topics but also topics that are not so 'conventional', and gives, with a renewed vigor, a broad and unified knowledge of the theory of PDEs. --Mathematical Reviews
This is a very good book for graduate students and for mathematicians interested in Fourier analysis and PDEs...The choice of topics is progressive, the presentation is clear, rigorous and inviting.The reader feels encouraged to learn what follows...The book is very well written...I would recommend this book without reservations. --MAA Reviews
About the Author
Gregory Eskin, University of California, Los Angeles, CA
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