Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to technically difficult assignments.

This 5th edition contains all the things that made the earlier editions different from other textbooks. Among others: Integrating linear algebra and multivariable calculus Using effective algorithms to prove the main theorems (Newton's method and the implicit function theorem, for instance) A new approach to both Riemann integration and Lebesgue integration Manifolds and a ser...(展开全部)

This 5th edition contains all the things that made the earlier editions different from other textbooks. Among others: Integrating linear algebra and multivariable calculus Using effective algorithms to prove the main theorems (Newton's method and the implicit function theorem, for instance) A new approach to both Riemann integration and Lebesgue integration Manifolds and a ser...(展开全部)

Philosophic, less formalistic approach to perennially important field of analytical mechanics. Model of clear, scholarly exposition at graduate level with coverage of basic concepts, calculus of variations, principle of virtual work, equations of motion, relativistic mechanics, much more. First inexpensive paperbound edition. Index. Bibliography.

Since the times of Gauss, Riemann, and Poincaré, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching ...(展开全部)

Since the times of Gauss, Riemann, and Poincaré, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching ...(展开全部)