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Hyperbolic Partial Differential Equations and Geometric Optics by Jeffrey Rauch
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Artikelmerkmale
- Artikelzustand
- Book Title
- Hyperbolic Partial Differential Equations and Geometric Optics
- Publication Date
- 2012-09-26
- Pages
- 363
- ISBN
- 9780821872918
Über dieses Produkt
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821872915
ISBN-13
9780821872918
eBay Product ID (ePID)
112588594
Product Key Features
Number of Pages
364 Pages
Language
English
Publication Name
Hyperbolic Partial Differential Equations and Geometric Optics
Subject
Physics / Optics & Light, Functional Analysis, System Theory, Differential Equations / Partial, Geometry / Algebraic
Publication Year
2012
Type
Textbook
Subject Area
Mathematics, Science
Series
Graduate Studies in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
29.1 Oz
Item Length
10.2 in
Item Width
7.2 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2011-046666
Dewey Edition
23
Series Volume Number
133
Illustrated
Yes
Dewey Decimal
535/.32
Table Of Content
Preface Chapter 1. Simple examples of propagation Chapter 2. The linear Cauchy problem Chapter 3. Dispersive behavior Chapter 4. Linear elliptic geometric optics Chapter 5. Linear hyperbolic geometric optics Chapter 6. The nonlinear Cauchy problem Chapter 7. One phase nonlinear geometric optics Chapter 8. Stability for one phase nonlinear geometric optics Chapter 9. Resonant interaction and quasilinear systems Chapter 10. Examples of resonance in one dimensional space Chapter 11. Dense oscillations for the compressible Euler equations Bibliography Index
Synopsis
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., 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 presented are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves.
LC Classification Number
QC20.7.S54R38 2012
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- e***u (283)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (Nr. 405155037686)
- n***7- Bewertung vom Käufer.Letzter MonatBestätigter KaufItem came shipped very well packaged and shipped very quickly. Also product was as described seeming in good condition. However I had a slight issues with the item(could have been damaged by carrier not sure) but seller made good with a full refund immediately after I contacted them about the issue. I would do business again based on the excellent customer service and would highly recommend seller.
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AlibrisBooks
99% positive Bewertungen•2.0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (545'698)
- e***u (283)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (Nr. 405155037686)
- n***7- Bewertung vom Käufer.Letzter MonatBestätigter KaufItem came shipped very well packaged and shipped very quickly. Also product was as described seeming in good condition. However I had a slight issues with the item(could have been damaged by carrier not sure) but seller made good with a full refund immediately after I contacted them about the issue. I would do business again based on the excellent customer service and would highly recommend seller.