Buch, Englisch, 434 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 884 g
The Geometric Viewpoint and its Uses
Buch, Englisch, 434 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 884 g
Reihe: Graduate Texts in Mathematics
ISBN: 978-3-540-52018-4
Verlag: Springer
This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first time, to anyone familiar with elementary calculus in one variable and with some knowledge of vector algebra. The emphasis throughout is on the geometry of the mathematics, which is greatly enhanced by the many illustrations presenting figures of three and more dimensions as closely as the book form will allow.
Zielgruppe
Professional/practitioner
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
- Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
- Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
Weitere Infos & Material
0. Fundamental Not(at)ions.- I. Real Vector Spaces.- II. Affine Spaces.- III. Dual Spaces.- IV. Metric Vector Spaces.- V. Tensors and Multilinear Forms.- VI Topological Vector Spaces.- VII. Differentiation and Manifolds.- VIII. Connections and Covariant Differentiation.- IX. Geodesics.- X. Curvature.- XI. Special Relativity.- XII. General Relativity.- Index of Notations.
