This book provides an introduction to Riemannian geometry, the geometry of curved spaces. As such, its main theme is the effect of the curvature of these spaces on the usual notions of geometry - angles, lengths, areas and volumes - and those new notions and ideas motivated by curvature itself. Among the specialized classical topics in this new setting is isoperimetric inequalities, that is, the interplay of curvature with the volume of sets and the areas of their boundaries. Completely new themes, created by curvature, ...
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This book provides an introduction to Riemannian geometry, the geometry of curved spaces. As such, its main theme is the effect of the curvature of these spaces on the usual notions of geometry - angles, lengths, areas and volumes - and those new notions and ideas motivated by curvature itself. Among the specialized classical topics in this new setting is isoperimetric inequalities, that is, the interplay of curvature with the volume of sets and the areas of their boundaries. Completely new themes, created by curvature, include local versus global geometric properties, that is, the interaction of the microscopic behaviour of the geometry with the macroscopic structure of the space. After considering those topics which would form the core of an introductory course, the book emphasizes more specialized topics which have yet to be treated in book form. Also featured is an ambitious and non-traditional notes and exercises section for each chapter, to develop and enrich the reader's appetite for, and appreciation of the subject.
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2nd edition; 488 pp., Paperback, new. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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New. Trade paperback (US). Contains: Unspecified. Cambridge Studies in Advanced Mathematics . 161 exercises. Intended for professional and scholarly audience.
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Seller's Description:
New. Trade paperback (US). 488 p. Cambridge Studies in Advanced Mathematics . Worked examples or Exercises. Intended for professional and scholarly audience.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). 488 p. Cambridge Studies in Advanced Mathematics . Worked examples or Exercises. Intended for professional and scholarly audience.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Contains: Unspecified. Cambridge Studies in Advanced Mathematics . 161 exercises. Intended for professional and scholarly audience.
