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Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - Serge Alinhac and Patrick Gerard
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Serge Alinhac and Patrick Gerard:
Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - Paperback

2007, ISBN: 9780821834541

Hardcover, ID: 321783159

American Mathematical Society, 2005-09. Paperback. New. Brand new. We distribute directly for the publisher. Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics.Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards.The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense.A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincaré recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations.The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry., American Mathematical Society, 2005-09, American Mathematical Society, 2007-05-31. Hardcover. New. Brand new. We distribute directly for the publisher. This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems, and nonlinear PDE.Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities.An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter $0$ with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry., American Mathematical Society, 2007-05-31

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Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - Serge Alinhac, Patrick Gerard
book is out-of-stock
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Serge Alinhac, Patrick Gerard:
Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - hardcover

2007, ISBN: 0821834541

[SR: 2307861], Hardcover, [EAN: 9780821834541], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], 2007-04-30, American Mathematical Society, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - Serge Alinhac and Patrick Gerard
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Serge Alinhac and Patrick Gerard:
Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - hardcover

2007, ISBN: 0821834541

ID: 17148526720

[EAN: 9780821834541], Gebraucht, guter Zustand, [PU: American Mathematical Society], Mathematics|Advanced, Mathematics|Functional Analysis, Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority.

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Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - Serge Alinhac and Patrick Gerard
book is out-of-stock
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Serge Alinhac and Patrick Gerard:
Pseudo-differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - hardcover

2007, ISBN: 0821834541

ID: 11800369779

[EAN: 9780821834541], Neubuch, [PU: American Mathematical Society], Mathematics|Advanced, Mathematics|Functional Analysis

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Pseudo-Differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - Serge Alinhac And Patrick Gerard
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Serge Alinhac And Patrick Gerard:
Pseudo-Differential Operators and the Nash-Moser Theorem (Graduate Studies in Mathematics) - hardcover

2007, ISBN: 9780821834541

ID: 13108090150

Hardcover, Gebraucht, Buy with confidence. Excellent Customer Service & Return policy., [PU: American Mathematical Society]

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Details of the book
Pseudo-differential Operators and the Nash-Moser Theorem

This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities. An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter $0$ with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.

Details of the book - Pseudo-differential Operators and the Nash-Moser Theorem


EAN (ISBN-13): 9780821834541
ISBN (ISBN-10): 0821834541
Hardcover
Paperback
Publishing year: 2007
Publisher: American Mathematical Society

Book in our database since 31.03.2008 15:17:20
Book found last time on 13.08.2017 00:40:12
ISBN/EAN: 9780821834541

ISBN - alternate spelling:
0-8218-3454-1, 978-0-8218-3454-1


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