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Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics
Yuri E. Gliklikh
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Description for Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics
Hardback. Includes applications such as the Langevin equation of statistical mechanics. This book also covers Nelson's stochastic mechanics (a version of quantum mechanics), and the hydrodynamics of viscous incompressible fluid treated with the modern Lagrange formalism. Series: Mathematics and its Applications. Num Pages: 192 pages, biography. BIC Classification: PBMP; PDE; PH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 476.
The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics. In particular, during the last decades a new branch of Global Analysis, Stochastic Differential Geometry, was formed to meet the needs of Mathematical Physics. It deals with a lot of various second order differential equations on finite and infinite-dimensional manifolds arising in Physics, and its validity is based on the deep inter-relation between modem Differential Geometry and certain parts of the Theory of Stochastic Processes, discovered not so long ago. The foundation of ... Read more
The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics. In particular, during the last decades a new branch of Global Analysis, Stochastic Differential Geometry, was formed to meet the needs of Mathematical Physics. It deals with a lot of various second order differential equations on finite and infinite-dimensional manifolds arising in Physics, and its validity is based on the deep inter-relation between modem Differential Geometry and certain parts of the Theory of Stochastic Processes, discovered not so long ago. The foundation of ... Read more
Product Details
Format
Hardback
Publication date
1996
Publisher
Kluwer Academic Publishers United States
Number of pages
192
Condition
New
Series
Mathematics and its Applications
Number of Pages
192
Place of Publication
Dordrecht, Netherlands
ISBN
9780792341543
SKU
V9780792341543
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics
` ... the author has successfully arranged them [the topics] into a smooth, coherent rexposition. It is highly recommended for those readers with good background knowledge in differential geometry, stochastic analysis, and mathematical physics.' Mathematical Reviews, 98k