Bøger af Jerrold E. Marsden

Elementary Classical Analysis balances pure and applied mathematics with an emphasis on specific techniques important to classical analysis without vector calculus or complex analysis. It also includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application.

This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.

Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering.

The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject.