Rational And Applied Mechanics

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Through his voluminous and influential writings, editorial activities, organizational leadership, intellectual acumen, and strong sense of history, Clifford A. Truesdell (1919-2000) was the main architect for the renaissance of rational continuum mechanics since the middle of the 20th century.

Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics.

This volume presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications.