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Partial Differential Equations by Andras Vasy

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Item specifics

Condition
Good: A book that has been read, but is in good condition. Minimal damage to the book cover eg. ...
Publish Year
2015
Book Title
Partial Differential Equations
ISBN
9781470418816

About this product

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
1470418819
ISBN-13
9781470418816
eBay Product ID (ePID)
219128609

Product Key Features

Number of Pages
280 Pages
Publication Name
Partial Differential Equations : an Accessible Route Through Theory and Applications
Language
English
Publication Year
2015
Subject
Differential Equations / Partial
Type
Textbook
Subject Area
Mathematics
Author
Andras Vasy
Series
Graduate Studies in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.6 in
Item Weight
23.7 Oz
Item Length
10 in
Item Width
7 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2015-026781
Dewey Edition
23
Series Volume Number
169
Illustrated
Yes
Dewey Decimal
515/.353
Table Of Content
Introduction Where do PDE come from First order scalar semilinear equations First order scalar quasilinear equations Distributions and weak derivatives Second order constant coefficient PDE: Types and d'Alembert's solution of the wave equation Properties of solutions of second order PDE: Propagation, energy estimates and the maximum principle The Fourier transform: Basic properties, the inversion formula and the heat equation The Fourier transform: Tempered distributions, the wave equation and Laplace's equation PDE and boundaries Duhamel's principle Separation of variables Inner product spaces, symmetric operators, orthogonality Convergence of the Fourier series and the Poisson formula on disks Bessel functions The method of stationary phase Solvability via duality Variational problems Bibliography Index
Synopsis
This text on partial differential equations is intended for readers who want to understand the theoretical underpinnings of modern PDEs in settings that are important for the applications without using extensive analytic tools required by most advanced texts. The assumed mathematical background is at the level of multivariable calculus and basic metric space material., This text on partial differential equations is intended for readers who want to understand the theoretical underpinnings of modern PDEs in settings that are important for the applications without using extensive analytic tools required by most advanced texts. The assumed mathematical background is at the level of multivariable calculus and basic metric space material, but the latter is recalled as relevant as the text progresses. The key goal of this book is to be mathematically complete without overwhelming the reader, and to develop PDE theory in a manner that reflects how researchers would think about the material. A concrete example is that distribution theory and the concept of weak solutions are introduced early because while these ideas take some time for the students to get used to, they are fundamentally easy and, on the other hand, play a central role in the field. Then, Hilbert spaces that are quite important in the later development are introduced via completions which give essentially all the features one wants without the overhead of measure theory. There is additional material provided for readers who would like to learn more than the core material, and there are numerous exercises to help solidify one's understanding. The text should be suitable for advanced undergraduates or for beginning graduate students including those in engineering or the sciences.
LC Classification Number
QA377.V38 2015

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