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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Original cloth. Etat : Very Good+. Etat de la jaquette : Very Good. First Edition. With diagrams. Light wear to spine, covers & corners. Dustjacket slightly worn. ; Octavo ; xii, 386 pages. N° de réf. du vendeur LCB61359
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Vendeur : Antiquariat Bernhardt, Kassel, Allemagne
gebundene Ausgabe. Etat : Sehr gut. Cambridge Tracts in Mathematics, Band 108. Zust: Gutes Exemplar. Mit original Schutzumschlag. 386 S. Englisch 638g. N° de réf. du vendeur 488333
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Vendeur : Antiquariat Bernhardt, Kassel, Allemagne
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