0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry

Buy Now

Computers, Rigidity, and Moduli - The Large-Scale Fractal Geometry of Riemannian Moduli Space (Hardcover, New) Loot Price: R2,528
Discovery Miles 25 280

Computers, Rigidity, and Moduli - The Large-Scale Fractal Geometry of Riemannian Moduli Space (Hardcover, New)

Shmuel Weinberger

Series: Porter Lectures

 (sign in to rate)
Loot Price R2,528 Discovery Miles 25 280 | Repayment Terms: R237 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

Donate to Against Period Poverty

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 of extrema or equilibria follow.

The main sort of algorithmic problem that arises is recognition: is the presented object equivalent to some standard one? If it is difficult to determine whether the problem is solvable, then the original object has doppelgangers--that is, other objects that are extremely difficult to distinguish from it.

Many new questions emerge about the algorithmic nature of known geometric theorems, about "dichotomy problems," and about the metric entropy of moduli space. Weinberger studies them using tools from group theory, computability, differential geometry, and topology, all of which he explains before use. Since several examples are worked out, the overarching principles are set in a clear relief that goes beyond the details of any one problem."

General

Imprint: Princeton University Press
Country of origin: United States
Series: Porter Lectures
Release date: December 2004
First published: December 2004
Authors: Shmuel Weinberger
Dimensions: 229 x 152 x 20mm (L x W x T)
Format: Hardcover
Pages: 174
Edition: New
ISBN-13: 978-0-691-11889-5
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
LSN: 0-691-11889-2
Barcode: 9780691118895

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

Partners