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Tensor Geometry: The Geometric Viewpoint and its Uses (Graduate Texts in Mathematics, 130) - Hardcover
Synopsis
This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra.
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Tensor Geometry: The Geometric Viewpoint and its Uses
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
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Hardback. Condition: Good. 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 I. Affine Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 1. Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Tangent vectors, parallelism, coordinates 2. Combinations of Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Midpoints, convexity 3. Maps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Linear parts, translations, components I. 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 VI 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Seller Inventory # 00109794898
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Tensor Geometry: The Geometric Viewpoint and its Uses (Graduate Texts in Mathematics, 130)
Seller: HPB-Red, Dallas, TX, U.S.A.
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Hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_467382996
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Tensor Geometry. The Geometric Viewpoint and its Uses. Second edition (Graduate Texts in Mathematics 130)
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Condition: Fine. First printing of the 2nd edition, 434 pp., hardcover, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1355407
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Tensor Geometry. The Geometric Viewpoint and its Uses. With 177 Figures.
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Berlin, Heidelberg, New York, Barcelona usw.: Verlag Springer, 1997
ISBN 10: 354052018X
ISBN 13: 9783540520184
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2nd Edition. XIV, 432 Seiten, Format 16 x 24,2 cm, hartgebundener u. mattkaschierter Original-Pappband (Graduate Texts in Mathematics, Vol. 130). * Index auf den Seiten 424-432. Auf dem Vorsatz ist mit Bleistift der damalige Buchhandelspreis notiert (DM 108,00 bzw. 75,00). Erhaltung: Auf der unteren Schnittkante ein Stempel (M im Kreis = Mängelexemplar). Ein Mangel ist aber nicht zu entdecken, stattdessen ein sehr gutes und frisches Exemplar, auch ohne weitere Eintragungen [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch. Seller Inventory # 29652
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Tensor Geometry: The Geometric Viewpoint and Its Uses (Graduate Texts in Mathematics)
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Tensor Geometry: The Geometric Viewpoint and Its Uses
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Hardcover. Condition: Like new. Excellent condition. Binding is tight. Front free end paper has price sticker and demagnetized security strip from previous seller. Inside is clean and unmarked. Seller Inventory # 1155524
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Tensor Geometry: The Geometric Viewpoint and its Uses (Graduate Texts in Mathematics, 130, Band 130) Dodson, C. T. J. and Poston, Timothy
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Hardcover Nov 07, 1991. Condition: gebraucht; wie neu. illustrierter Hardcover, ungebraucht. Seller Inventory # 585-1-33
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Tensor Geometry: The Geometric Viewpoint and its Uses (Graduate Texts in Mathematics, 130)
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hardcover. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-354052018X
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Tensor Geometry: The Geometric Viewpoint and its Uses (Graduate Texts in Mathematics, 130, Band 130)
Published by
Berlin. Springer Verlag., 1991
ISBN 10: 354052018X
ISBN 13: 9783540520184
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Karton Karton. Condition: Sehr gut. 2. Auflage,. 432 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. et Gewicht in Gramm: 802. Seller Inventory # 494850
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Tensor Geometry: The Geometric Viewpoint and its Uses (Graduate Texts in Mathematics, 130)
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