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A text for graduate students with previous courses in analysis and linear algebra, introducing the idea of the formalism of simplectic forms, the simplectic group, and simplectic manifolds. Demonstrates connections between mathematical objects and the formalism of theoretical mechanics, in particular the Hamiltonian formalism, and that of the quantum formalism, namely the process of quantization. Extensive appendices offer definitions and mathematical groundwork. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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An Introduction to Symplectic Geometry
Editore:
American Mathematical Society, Providence, RI, 2001
ISBN 10: 0821820567
ISBN 13: 9780821820568
Antico o usato
Rilegato
Prima edizione
Da: Black Cat Hill Books, Oregon City, OR, U.S.A.
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: Near Fine. First Edition; Second Printing. Very Near Fine: shows only a superficial blow to the upper fore-edge causing a very faint wrinkle to about 35 pages late in the text; else flawless; the binding is square and secure; the text is clean. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome, nearly-new copy, structurally sound and tightly bound, showing a minor, unobtrusive imperfection. Bright and clean. Corners sharp. Very close to 'As New'. NOT a Remainder, Book-Club, or Ex-Library. Small 4to (10.3 x 7.25 x 0.7 inches) . Language: English. Weight: 19.3 ounces. First Edition (2001) , Second Printing (2009). Graduate Studies in Mathematics Series, No. 26. Hardcover: Laminate Boards. Symplectic geometry is a central topic of current research in mathematics. Indeed, symplectic methods are key ingredients in the study of dynamical systems, differential equations, algebraic geometry, topology, mathematical physics and representations of Lie groups. This book is a true introduction to symplectic geometry, assuming only a general background in analysis and familiarity with linear algebra. It starts with the basics of the geometry of symplectic vector spaces. Then, symplectic manifolds are defined and explored. In addition to the essential classic results, such as Darboux's theorem, more recent results and ideas are also included here, such as symplectic capacity and pseudoholomorphic curves. These ideas have revolutionized the subject. ; Graduate Studies in Mathematics; Vol. 26; Small 4to 9" - 11" tall; xvi, 195 pages. Codice articolo 59216
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