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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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 0.