Del 28 i serien Encyclopaedia of Mathematical Sciences

Geometry I

Basic Ideas and Concepts of Differential Geometry

Inbunden, Engelska, 1991

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Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes.

Produktinformation

Utgivningsdatum1991-11-07
Mått155 x 235 x 24 mm
Vikt562 g
FormatInbunden
SpråkEngelska
SerieEncyclopaedia of Mathematical Sciences
Antal sidor266
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540519997
ÖversättarePrimrose, E.

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Matematik inom Naturvetenskap och teknik

1. Introduction: A Metamathematical View of Differential Geometry.- 2. The Geometry of Surfaces.- 3. The Field Approach of Riemann.- 4. The Group Approach of Lie and Klein. The Geometry of Transformation Groups.- 5. The Geometry of Differential Equations.- 6. Geometric Structures.- 7. The Equivalence Problem, Differential Invariants and Pseudogroups.- 8. Global Aspects of Differential Geometry.- Commentary on the References.- References.- Author Index.