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11/21/2020 at 11:54 PM #335456
sheleman
ParticipantTensor Geometry
The Geometric Viewpoint and Its Uses
by C.T.J. Dodson๐ฅ Tensor Geometry ยท Click Here ๐ฅ
- Language: english
- Format: hardcover, 432 pages
- Publisher: Springer
- Author: C.T.J. Dodson
- ISBN: 9783540520184 (354052018X)
- Release date: November 23, 2009
- Genres: mathematics, geometry, science, physics, algebra, calculus
About The Book
We have been very encouraged by the reactions of students and teachers using our book over the past ten years and so this is a complete retype in TEX, with corrections of known errors and the addition of a supplementary bibliography. Thanks are due to the Springer staff in Heidelberg for their enthusiastic sup port and to the typist, Armin Kollner for the excellence of the final result. Once again, it has been achieved with the authors in yet two other countries. November 1990 Kit Dodson Toronto, Canada Tim Poston Pohang, Korea Contents Introduction … … … … … … … … … … ….. XI O. Fundamental Not(at)ions … … … … … … … ….. 1 1. Sets … … … … … … … … … … … ….. . 1 2. Functions … … … … … … … … … … ….. 6 3. Physical Background … … … … … … … … … 13 I. Real Vector Spaces … … … … … … … … … … 18 1. Spaces … … … … … … … … … … … … 18 Subspace geometry, components 2. Maps… … … … … … … … … … … ….. 24 Linearity, singularity, matrices 3. Operators … … … … … … … … … … ….. 31 Projections, eigenvalues, determinant, trace II. Affine Spaces … … … … … … … … … … … . 43 1. Spaces … … … … … … … … … … … … 43 Tangent vectors, parallelism, coordinates 2. Combinations of Points … … … … … … … ….. 49 Midpoints, convexity 3. Maps… … … … … … … … … … … ….. 53 Linear parts, translations, components III. Dual Spaces … … … … … … … … … … ….. 57 1. Contours, Co- and Contravariance, Dual Basis … … ….. 57 IV. Metric Vector Spaces … … … … … … … … ….. 64 1. Metrics … … … … … … … … … … … … 64 Basic geometry and examples, Lorentz geometry 2. Maps… … … … … … … … … … … ….. 76 Isometries, orthogonal projections and complements, adjoints 3. Coordinates … … … … … … … … … … … 83 Orthonormal bases Contents VIII 4. Diagonalising Symmetric Operators 92 Principal directions, isotropy V. Tensors and Multilinear Forms 98 1. Multilinear Forms … … … … … … … … ….. . 98 Tensor Products, Degree, Contraction, Raising Indices VE Topological Vector Spaces … … … … … … … ….. 114 1. Continuity … … … … … … … … … … … . 114 Metrics, topologies, homeomorphisms 2. Limits … … … … … … … … … … … … . 125 Convergence and continuity 3. The Usual Topology … … … … … … … ….. . .”
TXT ebook Tensor Geometry download on Book Depository. MOBI Tensor Geometry by C.T.J. Dodson read on Android. Hardback book Tensor Geometry C.T.J. Dodson reader. FB2 Tensor Geometry buy cheap on Kobo. Online ebook Tensor Geometry by C.T.J. Dodson read online for iPhone.
08/11/2021 at 12:56 PM #519257victanda
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