Two and three dimensional calculus : with applications in science and engineering / Phil Dyke.

Includes bibliographical references and index.

Revision of one dimensional calculus -- Partial differentiation -- Maxima and minima -- Vector algebra -- Vector differentiation -- Grad div and curl -- Curvilinear co-ordinates -- Path integrals -- Multiple integrals -- Surface integrals -- Integral theorems -- Solutions and answers to exercises.

This book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding.

Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so. -- From the Publisher