Author | Nevanlinna, F. author |
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Title | Absolute Analysis [electronic resource] / by F. Nevanlinna, R. Nevanlinna |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1973 |
Connect to | http://dx.doi.org/10.1007/978-3-662-00249-0 |
Descript | VIII, 272 p. online resource |
I. Linear Algebra -- ยง 1. The Linear Space with Real Multiplier Domain -- ยง 2. Finite Dimensional Linear Spaces -- ยง 3. Linear Mappings -- ยง 4. Bilinear and Quadratic Functions -- ยง 5. Multilinear Functions -- ยง 6. Metrization of Affine Spaces -- II. Differential Calculus -- ยง 1. Derivatives and Differentials -- ยง 2. Taylorโs Formula -- ยง 3. Partial Differentiation -- ยง 4. Implicit Functions -- III. Integral Calculus -- ยง 1. The Affine Integral -- ยง 2. Theorem of Stokes -- ยง 3. Applications of Stokesโs Theorem -- IV. Differential Equations -- ยง 1. Normal Systems -- ยง 2. The General Differential Equation of First Order -- ยง 3. The Linear Differential Equation of Order One -- V. Theory of Curves and Surfaces -- ยง 1. Regular Curves and Surfaces -- ยง 2. Curve Theory -- ยง 3. Surface Theory -- ยง 4. Vectors and Tensors -- ยง 5 Integration of the Derivative Formulas -- ยง 6. Theorema Egregium -- ยง 7. Parallel Translation -- ยง 8. The Gauss-Bonnet Theorem -- VI. Riemannian Geometry -- ยง 1. Affine Differential Geometry -- ยง 2. Riemannian Geometry