R.V. Gamkrelidze
Geometry I
Basic Ideas and Concepts of Differential Geometry
Paperback Engels 2010 9783642080852Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book provides a tour of the principal areas and methods of modern differential geometry. Beginning at the introductory level with curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics that form the greatest part of the book: transformation groups, the geometry of differential equations, geometric structures, the equivalence problem, the geometry of elliptic operators.
Specificaties
ISBN13:9783642080852
Taal:Engels
Bindwijze:paperback
Aantal pagina's:266
Uitgever:Springer Berlin Heidelberg
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Inhoudsopgave
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.
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