This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and other sciences.
The many and various topics covered include: the algebra of vectors -- linear dependence and independence, transformation equations, the inner product, the cross product, and the algebra of matrixes; the differentiation of vectors -- geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation of vectors -- geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation and associated concepts -- surface representations, bases in general coordinate systems, and maxima and minima of functions of two variables; the integration of vectors -- line integrals, surface integrals, surface tensors and volume integrals; tensor algebra and analysis -- fundamental notions of n-space, transformations and tensors, Riemannian geometry, tensor processes of differentiation, geodesics, the curvature tensor and its algebraic properties, and general relativity theory.
Throughout, Professor Wrede stresses the interrelationships between algebra and geometry, and moves frequently from one to the other. As he points out, vector and tensor analysis provides a kind of bridge between elementary aspects of linear algebra, geometry and analysis. He uses the classical notation for vector analysis, but introduces a more appropriate new notation for tensors, which he correlates with the common vector notation. He stresses proofs and concludes each section with a set of problems designed to help the student get a solid grasp of the ideas, and explore them more thoroughly on his own. His approach features a combination of important historical material with up-to-date developments in both fields. The knowledge of vector and tensor analysis gained in this way is excellent preparation for further studies in differential geometry, applied mathematics, and theoretical physics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
EUR 6,92 expédition depuis Etats-Unis vers France
Destinations, frais et délaisEUR 11,56 expédition depuis Royaume-Uni vers France
Destinations, frais et délaisVendeur : ThriftBooks-Atlanta, AUSTELL, GA, Etats-Unis
Paperback. Etat : Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less 1.07. N° de réf. du vendeur G048661879XI5N00
Quantité disponible : 1 disponible(s)
Vendeur : WorldofBooks, Goring-By-Sea, WS, Royaume-Uni
Paperback. Etat : Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. N° de réf. du vendeur GOR003940743
Quantité disponible : 1 disponible(s)
Vendeur : Books From California, Simi Valley, CA, Etats-Unis
Paperback. Etat : Very Good. N° de réf. du vendeur mon0003731498
Quantité disponible : 1 disponible(s)
Vendeur : Better World Books: West, Reno, NV, Etats-Unis
Etat : Very Good. Used book that is in excellent condition. May show signs of wear or have minor defects. N° de réf. du vendeur 13427238-6
Quantité disponible : 1 disponible(s)
Vendeur : Powell's Bookstores Chicago, ABAA, Chicago, IL, Etats-Unis
Etat : Used - Very Good. 1972. Paperback. Very Good. N° de réf. du vendeur DD0060959
Quantité disponible : 1 disponible(s)
Vendeur : Abyssbooks, Crestone, CO, Etats-Unis
Soft cover. Etat : Very Good. 1st Edition. Sound and clean with minimal wear. N° de réf. du vendeur 3246
Quantité disponible : 1 disponible(s)
Vendeur : Ann Becker, Houston, TX, Etats-Unis
Paperback. Etat : Good. Etat de la jaquette : No Dust Jacket. Dover Books On Mathematics; 8.4 X 5.4 X 1.1 inches; 418 pages. N° de réf. du vendeur 343245
Quantité disponible : 1 disponible(s)
Vendeur : SecondSale, Montgomery, IL, Etats-Unis
Etat : Very Good. Item in very good condition! Textbooks may not include supplemental items i.e. CDs, access codes etc. N° de réf. du vendeur 00089550924
Quantité disponible : 1 disponible(s)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. revised edition. 418 pages. 8.50x5.50x1.00 inches. In Stock. N° de réf. du vendeur 048661879X
Quantité disponible : 1 disponible(s)
Vendeur : Chequamegon Books, Washburn, WI, Etats-Unis
Paperback. Etat : As New. Reprint. unabridged corrected republication of the 1963 edition. 418 pages. "Throughout, Professor Wrede stresses the interrelationships between algebra and geometry, and moves frequently from one to the other. As he points out, vector and tensor analysis provides a kind fo bridge between elementary aspects of linear algebra, geometry and analysis." ; 5 3/8 x 8 1/2 ". N° de réf. du vendeur 52009
Quantité disponible : 1 disponible(s)