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subject:"Mathematics Geometry" from books.google.com
Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics.
subject:"Mathematics Geometry" from books.google.com
This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.
subject:"Mathematics Geometry" from books.google.com
Euclid's Elements of Geometry, with Greek and English texts in side-by-side columns.
subject:"Mathematics Geometry" from books.google.com
Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study.
subject:"Mathematics Geometry" from books.google.com
This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry.
subject:"Mathematics Geometry" from books.google.com
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
subject:"Mathematics Geometry" from books.google.com
This book is an introductory graduate-level textbook on the theory of smooth manifolds.
subject:"Mathematics Geometry" from books.google.com
Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a ...
subject:"Mathematics Geometry" from books.google.com
The significance of the spiral in nature, art, science, and the phenomena of life and growth is probed
subject:"Mathematics Geometry" from books.google.com
Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the ...