Author: James Casey
Publisher: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
Keywords: curvature, exploring
Number of Pages: 250
Published: 1996-08
List price: unknow
ISBN-10: 3528064757
ISBN-13: 9783528064754
This introductory text is exploratory in nature, and is intended as a bridge between Euclid’s geometry and the modern geometry of curved spaces. It is organized around a collection of simple experiments which the reader can perform at home or in a classroom setting. Methods for physically exploring the intrinsic geometry of commonplace curved objects (such as bowls, balls and watermelons) are described. The concepts of Gaussian curvature, parallel transport and geodesics are treated. The book also contains biographical chapters on Gauss, Riemann and Levi-Civita.
Author: Harald Fritzsch
Publisher: Columbia University Press
Keywords: spacetime, curvature
Number of Pages: 368
Published: 2002-02-15
List price: $85.00
ISBN-10: 0231118201
ISBN-13: 9780231118200
The internationally renowned physicist Harald Fritzsch deftly explains the meaning and far-flung implications of the general theory of relativity and other mysteries of modern physics by presenting an imaginary conversation among Newton, Einstein, and a fictitious contemporary particle physicist named Adrian Haller -the same device Fritzsch employed to great acclaim in his earlier book An Equation That Changed the World, which focused on the special theory of relativity. Einstein´s theory of gravitation, his general theory of relativity, touches on basic questions of our existence. Matter, a
Authors:Klaus Ecker, Birkhauser,
Publisher: Birkhäuser Boston
Keywords: flow, curvature, theory, regularity
Number of Pages: 120
Published: 2003-12-18
List price: $145.00
ISBN-10: 0817632433
ISBN-13: 9780817632434
This work is devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics. A major example is Hamilton’s Ricci flow program, which has the aim of settling Thurston’s geometrization conjecture, with recent major progress due to Perelman. Another important application of a curvature flow process is the resolution of the famous Penros
Author: Harald Fritzsch
Publisher: Columbia University Press
Keywords: gravitation, einstein, newton, spacetime, curvature
Number of Pages: 368
Published: 2005-01
List price: $26.00
ISBN-10: 023111821X
ISBN-13: 9780231118217
The internationally renowned physicist Harald Fritzsch deftly explains the meaning and far-flung implications of the general theory of relativity and other mysteries of modern physics by presenting an imaginary conversation among Newton, Einstein, and a fictitious contemporary particle physicist named Adrian Haller. In this entertaining and involving account of relativity, Newton serves as the skeptic and asks the questions a modern reader might ask. Einstein himself does the explaining, while Haller explains the new developments that have occurred since the general theory was proposed.
Author: Joseph A. Wolf
Publisher: American Mathematical Society
Keywords: chelsea, publishing, ams, curvature, constant, spaces
Number of Pages: 420
Published: 2010-12-01
List price: $60.00
ISBN-10: 0821852825
ISBN-13: 9780821852828
This book is the sixth edition of the classic Spaces of Constant Curvature, first published in 1967, with the previous (fifth) edition published in 1984. It illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseudo-riemannian manifolds and their curvatures, of the representation theory of finite groups, and of indications of recent progress in discrete subgroups of Lie groups. Part I is a brief introduction to differentiable manifolds, covering spaces, and riemannian and pseudo-riemannian geo
Author: John M. Lee
Publisher: Springer
Keywords: texts, mathematics, graduate, curvature, manifolds, introduction, riemannian
Number of Pages: 252
Published: 1997-09-05
List price: $54.95
ISBN-10: 0387983228
ISBN-13: 9780387983226
This text is designed for a one-quarter or one-semester graduate couse in Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics, and then introduces the Riemann curvature tensor, before moving on the submanifold theory, in order to give the curvature tensor a concrete quantitative interpretation. The remainder of the
Author: John M. Lee
Publisher: Springer
Keywords: texts, mathematics, graduate, curvature, manifolds, introduction, riemannian
Number of Pages: 224
Published: 1997-09-05
List price: $84.95
ISBN-10: 038798271X
ISBN-13: 9780387982717
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
