Download E-books Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics) PDF

By Isaac Chavel

This publication presents an creation to Riemannian geometry, the geometry of curved areas, to be used in a graduate path. Requiring merely an figuring out of differentiable manifolds, the writer covers the introductory principles of Riemannian geometry through a variety of extra really good issues. additionally featured are Notes and routines for every bankruptcy, to enhance and increase the reader's appreciation of the topic. This moment version, first released in 2006, has a clearer therapy of many issues than the 1st variation, with new proofs of a few theorems and a brand new bankruptcy at the Riemannian geometry of surfaces. the most subject matters listed below are the impression of the curvature at the traditional notions of classical Euclidean geometry, and the hot notions and ideas influenced through curvature itself. thoroughly new topics created by way of curvature comprise the classical Rauch comparability theorem and its outcomes in geometry and topology, and the interplay of microscopic habit of the geometry with the macroscopic constitution of the gap.

Show description

Read Online or Download Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics) PDF

Similar Topology books

Topology and Geometry for Physicists

Purposes from condensed subject physics, statistical mechanics and trouble-free particle conception look within the e-book. An visible omission here's normal relativity--we ask for forgiveness for this. We initially meant to debate normal relativity. in spite of the fact that, either the necessity to retain the dimensions of the e-book in the average limits and the truth that money owed of the topology and geometry of relativity are already to be had, for instance, within the huge Scale constitution of Space-Time via S.

Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad (Oxford Mathematical Monographs)

In topology the 3 simple techniques of metrics, topologies and uniformities were handled as far as separate entities by way of varied tools and terminology. this can be the 1st publication to regard all 3 as a distinct case of the idea that of technique areas. This idea offers a solution to typical questions within the interaction among topological and metric areas by way of introducing a uniquely compatible supercategory of most sensible and MET.

Undergraduate Topology: A Working Textbook

This textbook bargains an obtainable, glossy advent at undergraduate point to a space recognized variously as basic topology, point-set topology or analytic topology with a specific specialize in assisting scholars to construct idea for themselves. it's the results of a number of years of the authors' mixed collage instructing event inspired through sustained curiosity in complex mathematical considering and studying, along proven learn careers in analytic topology.

Riemannian Holonomy Groups and Calibrated Geometry (Oxford Graduate Texts in Mathematics)

This graduate point textual content covers an exhilarating and energetic sector of study on the crossroads of a number of assorted fields in arithmetic and Physics. In arithmetic it consists of Differential Geometry, complicated Algebraic Geometry, Symplectic Geometry, and in Physics String conception and reflect Symmetry. Drawing commonly at the author's past paintings, the textual content explains the complicated arithmetic concerned easily and obviously to either mathematicians and physicists.

Extra resources for Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics)

Show sample text content

Rated 4.77 of 5 – based on 47 votes