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Hyperbolic Partial Differential Equations and Geometric Optics (Graduate Studies in Mathematics) - Hardcover
Inhaltsangabe
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.
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Jeffrey Rauch, University of Michigan, Ann Arbor, MI, USA
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Hyperbolic Partial Differential Equations and Geometric Optics
Verlag:
American Mathematical Society, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
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Hyperbolic Partial Differential Equations and Geometric Optics (Volume 133)
Verlag:
American Mathematical Society, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
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Zustand: Good. Volume 133. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780821872918. Bestandsnummer des Verkäufers 5572457
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Hyperbolic Partial Differential Equations and Geometric Optics
Verlag:
American Mathematical Society, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
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Zustand: New. Series: Graduate Studies in Mathematics. Num Pages: 373 pages, Illustrations. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 259 x 185 x 23. Weight in Grams: 820. . 2012. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821872918
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Hyperbolic Partial Differential Equations and Geometric Optics
Verlag:
American Mathematical Society, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
Neu
Hardcover
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Hyperbolic Partial Differential Equations and Geometric Optics
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American Mathematical Society, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
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Hyperbolic Partial Differential Equations and Geometric Optics
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American Mathematical Society, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
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Zustand: New. Series: Graduate Studies in Mathematics. Num Pages: 373 pages, Illustrations. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 259 x 185 x 23. Weight in Grams: 820. . 2012. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821872918
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Hyperbolic Partial Differential Equations and Geometric Optics
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Hyperbolic Partial Differential Equations and Geometric Optics
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ISBN 13: 9780821872918
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Hyperbolic Partial Differential Equations and Geometric Optics
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American Mathematical Society, US, 2012
ISBN 10: 0821872915
ISBN 13: 9780821872918
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Hardback. Zustand: New. 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. Bestandsnummer des Verkäufers LU-9780821872918
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