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Global analysis in mathematical physics : geometric and stochastic methods / Yuri Gliklikh ; translated by Viktor L. Ginzburg.
Math/Physics/Astronomy Library QA1.A647 v.122
Available
LIBRA QA1.A647 v.122
Available from offsite location
- Format:
- Book
- Author/Creator:
- Gliklikh, I︠U︡. E.
- Series:
- Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 122.
- Applied mathematical sciences (Springer-Verlag New York Inc.)
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Stochastic processes.
- Global analysis (Mathematics).
- Mathematical physics.
- Physical Description:
- xv, 213 pages ; 24 cm.
- Place of Publication:
- New York : Springer, [1997]
- Summary:
- This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.
- Notes:
- Includes bibliographical references (pages [203]-209) and index.
- ISBN:
- 0387948678
- OCLC:
- 35174970
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