Differential Calculus/R.K. Pandey. New Delhi, Anmol, 2008, x, 318 p.,
figs., ISBN 81-261-3587-5.
Differential Calculus/R.K. Pandey. New Delhi, Anmol, 2008, x, 318 p.,
figs., ISBN 81-261-3587-5.
Contents: Preface. List of symbols. 1. Introduction to calculus. 2. Differentiability. 3. Functions, limits and continuity. 4. The derivative. 5. Applications of the derivative. 6. Differential equations using Laplace transform.
"This book provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. Shapes and geometries: analysis, Differential calculus, and optimization presents the extensive, recently developed theoretical foundation to shape optimization in a form that can be used by the engineering community. It also clearly explains the state-of-art developments in a mathematical language that will attract mathematicians to open questions in this important field." (jacket)