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Absolute Analysis

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Author(s): F. and R. Nevanlinna
Publisher: Springer
Year: 1973

Language: English

Cover
Title
Foreword
Introduction
I. Linear Algebra
1. The Linear Space with Real Multiplier Domain
2. Finite Dimensional Linear Spaces
3. Linear Mappings
4. Bilinear and Quadratic Functions
5. Multilincar Functions
6. Metrization of affine Space
II. Differential Calculus
1. Derivatives and Differential
2. Taylor's Formula
3. Partial Differentiation
4. Implicit Functions
III. Integral Calculus
1. The Affine Integral
2. Theorem of Stokes
3. Applications of Stoke's Theorem
IV. Differential Equations
1. Normal System
2. The General Differential Equation of First Order
3. The Linear Differential Equation of Order One
V. Theory of Curves and Surfaces
1. Regular Curves and Surfacer
2. Curve Theory
3. Surface Theory
4. Vectors and Tensor
5 Integration of the Derivative Formulas
6. Thcorcma Egregium
7. Parallel Translation
8. The Gauss-Bonnet Theorem
VI. Riemannian Geometry
1. Affine Differential Geommtry
2. Riemannian Geometry
Bibliography
Index