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Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of Riemannian Moduli Space
Shmuel Weinberger
€ 109.50
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Description for Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of Riemannian Moduli Space
Hardback. Presents an area of mathematical research that combines topology, geometry, and logic. This book seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. Series: Porter Lectures. Num Pages: 192 pages, 9 line illus. BIC Classification: PBM. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 20. Weight in Grams: 428.
This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence ... Read more
This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence ... Read more
Product Details
Format
Hardback
Publication date
2005
Publisher
Princeton University Press United States
Number of pages
192
Condition
New
Series
Porter Lectures
Number of Pages
192
Place of Publication
New Jersey, United States
ISBN
9780691118895
SKU
V9780691118895
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Shmuel Weinberger
Shmuel Weinberger is Professor of Mathematics at the University of Chicago. He is the author of "The Topological Classification of Stratified Spaces".
Reviews for Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of Riemannian Moduli Space
"This is a terrific book. It does no less than introduce an entire new field of mathematics - a truly astounding development. It will be widely read, I think, as much because of the masterful exposition as for the beautiful mathematics. Weinberger gives very clear and accessible descriptions of all the relevant tools from computability, topology, and geometry, in a ... Read more