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eBook Hyperbolic Partial Differential Equations and Geometric Optics (Graduate Studies in Mathematics) ePub

eBook Hyperbolic Partial Differential Equations and Geometric Optics (Graduate Studies in Mathematics) ePub

by Jeffrey Rauch

  • ISBN: 0821872915
  • Category: Science and Mathematics
  • Subcategory: Other
  • Author: Jeffrey Rauch
  • Language: English
  • Publisher: American Mathematical Society (May 1, 2012)
  • Pages: 363
  • ePub book: 1321 kb
  • Fb2 book: 1441 kb
  • Other: docx lrf lit doc
  • Rating: 4.2
  • Votes: 967

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Электронная книга "Hyperbolic Partial Differential Equations and Geometric Optics", Jeffrey Rauch

Электронная книга "Hyperbolic Partial Differential Equations and Geometric Optics", Jeffrey Rauch. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Hyperbolic Partial Differential Equations and Geometric Optics" для чтения в офлайн-режиме.

Among the topics carefully presented in the book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves. Studied in detail are the damping of waves, resonance, dispersive decay, and solutions to the compressible Euler equations with dense oscillations created by resonant interactions.

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American . 133 Hyperbolic Partial Differential Equations and Geometric Optics, Jeffrey Rauch (2012, ISBN 978-0-8218-7291-8).

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). These books elaborate on several theories from notable personas, such as Martin Schechter and Terence Tao, in the mathematical industry. The books in this series are published only in hardcover. 134 Analytic Number Theory: Exploring the Anatomy of Integers, Jean-Marie De Koninck, Florian Luca (2012, ISBN 978-0-8218-7577-3).

Start by marking Hyperbolic Partial Differential Equations and Geometric Optics as Want to Read .

Start by marking Hyperbolic Partial Differential Equations and Geometric Optics as Want to Read: Want to Read savin. ant to Read.

More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic hypersurface. Many of the equations of mechanics are hyperbolic, and so the study of hyperbolic equations is of substantial contemporary interest

Автор: Jeffrey Rauch Название: Hyperbolic Partial Differential Equations and Geometric Optics . Описание: Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD).

Описание: Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD).

Hyperbolic partial differential equations. And geometric optics. Jerey RAUCH† Department of Mathematics

Hyperbolic partial differential equations. Jerey RAUCH† Department of Mathematics. University of Michigan Ann Arbor MI 48109. Other books on hyperbolic partial dierential equations include those of Hadamard, Leray, G˚arding, and Mizohata and, Benzoni-Gavage and Serre. Lax’s 1963 Stanford notes occupy a special place in my heart. A revised and enlarged version is his book Hyperbolic Partial Dierential Equations. I owe a great intellectual debt to the notes, and to all that Peter Lax has taught me through the years.

in Graduate Studies in Mathematics.

Published: 1 May 2012. by American Mathematical Society (AMS). in Graduate Studies in Mathematics. Graduate Studies in Mathematics, Volume 133; doi:10.

Publisher: American Mathematical Society. Graduate Studies in Mathematics 133. Price

Hyperbolic Partial Differential Equations and Geometric Optics. Publisher: American Mathematical Society. Price: 6. 0.

Graduate Studies in Mathematics. American Mathematical Society. Assembled Product Dimensions (L x W x H). 1. 5 x . 0 Inches.

This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed. Among the topics carefully presented in the book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves. Studied in detail are the damping of waves, resonance, dispersive decay, and solutions to the compressible Euler equations with dense oscillations created by resonant interactions. Many fundamental results are presented for the first time in a textbook format. In addition to dense oscillations, these include the treatment of precise speed of propagation and the existence and stability questions for the three wave interaction equations. One of the strengths of this book is its careful motivation of ideas and proofs, showing how they evolve from related, simpler cases. This makes the book quite useful to both researchers and graduate students interested in hyperbolic partial differential equations. Numerous exercises encourage active participation of the reader. The author is a professor of mathematics at the University of Michigan. A recognized expert in partial differential equations, he has made important contributions to the transformation of three areas of hyperbolic partial differential equations: nonlinear microlocal analysis, the control of waves, and nonlinear geometric optics.