Series:

Texts in Applied Mathematics

2 total works

v. 17

Cover of Introduction to Mechanics and Symmetry
Symmetry has alway played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of this text is the role of symmetry in various aspects of mechanics. In recent times, this feature has accelerated because of new applications of symmetry techniques for studying integrable and chaotic systems, stability and bifurcation, as well as for obtaining new insights into specific rigid, fluid, plasma and elastic systems. This text lays the basic foundation for these topics. It also covers reduction theory and includes numerous applications, making it beneficial to physicists and engineers. It uses specific examples and applications showing how the theory works, plus up-to-date techniques.

v.4

Cover of A Mathematical Introduction for Fluid Mechanics
A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. 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. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.