Geometry I

Basic Ideas and Concepts of Differential Geometry

AvR.V. Gamkrelidze

Inbunden, Engelska, 1991

Del 28 i serien Encyclopaedia of Mathematical Sciences

1 392 kr

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Beskrivning

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

Utgivningsdatum:1991-11-07
Mått:155 x 235 x 24 mm
Vikt:562 g
Format:Inbunden
Språk:Engelska
Serie:Encyclopaedia of Mathematical Sciences
Antal sidor:266
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540519997
Översättare:E. Primrose

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

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.