Absolute analysis

I. Linear Algebra.- x 1. The Linear Space with Real Multiplier Domain.- x 2. Finite Dimensional Linear Spaces.- x 3. Linear Mappings.- x 4. Bilinear and Quadratic Functions.- x 5. Multilinear Functions.- x 6. Metrization of Affine Spaces.- II. Differential Calculus.- x 1. Derivatives and Differentials.- x 2. Taylor's Formula.- x 3. Partial Differentiation.- x 4. Implicit Functions.- III. Integral Calculus.- x 1. The Affine Integral.- x 2. Theorem of Stokes.- x 3. Applications of Stokes's Theorem.- IV. Differential Equations.- x 1. Normal Systems.- x 2. The General Differential Equation of First Order.- x 3. The Linear Differential Equation of Order One.- V. Theory of Curves and Surfaces.- x 1. Regular Curves and Surfaces.- x 2. Curve Theory.- x 3. Surface Theory.- x 4. Vectors and Tensors.- x 5 Integration of the Derivative Formulas.- x 6. Theorema Egregium.- x 7. Parallel Translation.- x 8. The Gauss-Bonnet Theorem.- VI. Riemannian Geometry.- x 1. Affine Differential Geometry.- x 2. Riemannian Geometry.

著者
Nevanlinna, F.、Nevanlinna, Rolf Herman、 Emig Phillip、 Nevanlinna F、 Nevanlinna Frithjof、 Nevanlinna Rolf、Emig Phillipp
出版社
Springer
発売日
1973年1月発売
価格
価格未定(税込・書誌情報提供:openBD)
ISBN
9780387059174

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