This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uniformly as the parameter tends toward some limiting value of interest. The author considers and solves a variety of problems, mostly for ordinary differential equations. He constructs (approximate) solutions for oscillation problems, using the methods of averaging and of multiple scales. For problems of the nonoscillatory type, where solutions exhibit 'fast dynamics' in a thin initial layer, he derives solutions using the O'Malley/Hoppensteadt...

to Continuum Mechanics - after Truesdell and Noll by DONALD R. SMITH University of California -San Diego, Department of Mathematics, La Jolla, U. S. A. SPRINGER-SCIENCE+BUSINESS MEDIA, B. V. Library ofCongress Cataloging-in-Publication Data Smlth. Dona ld R. An introductlon to continuum mechanlcs by Donald R. Smlth. p. cm. -- . 24 0. 4 Gradients of Principal Invariants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 38 0. 5 Chain Rules of Differentiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 0. 6 Gradient of a Field . . . . . . . . . . . . . . ....