Topics in Physical Mathematics Contributor(s): Marathe, Kishore (Author) |
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ISBN: 1848829388 ISBN-13: 9781848829381 Publisher: Springer OUR PRICE: $132.99 Product Type: Hardcover - Other Formats Published: August 2010 |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Algebra - Abstract - Mathematics | Mathematical Analysis |
Dewey: 530.15 |
LCCN: 2010933531 |
Physical Information: 1" H x 6.14" W x 9.21" (1.82 lbs) 466 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This title adopts the view that physics is the primary driving force behind a number of developments in mathematics. Previously, science and mathematics were part of natural philosophy and many mathematical theories arose as a result of trying to understand natural phenomena. This situation changed at the beginning of last century as science and mathematics diverged. These two fields are collaborating once again; 'Topics in Mathematical Physics' takes the reader through this journey. The author discusses topics where the interaction of physical and mathematical theories has led to new points of view and new results in mathematics. The area where this is most evident is that of geometric topology of low dimensional manifolds. These include the theories of Donaldson, Chern-Simons, Floer-Fukaya, Seiberg-Witten, and Topological (Quantum) Field Theory. The author also discusses the interaction of CFT, Supersymmetry, String Theory and Gravity with diverse areas of mathematics. Several of these ideas have led to new insights into old mathematical structures and some have led to surprising new results The term "Physical Mathematics'' has been coined to describe collectively these new and fast growing areas of research, and regards the work of Donaldson and Witten as belonging to this new area of physical mathematics. Study of this work forms an important part of this book. |