This book explores the integral calculus and its plentiful applications in engineering and the physical sciences.160; The authors aim to develop a basic understanding of integral calculus combined with scientific problems, and throughout, the book details the numerous applications of calculus as well as presents the topic as a deep, rich, intellectual achievement.160; The needed fundamental information is presented in addition to plentiful references, exercises, and examples.160; The definition of an integral is motivated by the familiar notion of area.160; Although the methods of plane geometry allow160;for the areas of polygons to be calculated, they do not provide ways of finding the area of plane regions whose boundaries are curves other than circles.160; By means of the integral,160;the areas of many such regions can be found. The authors160;also use160;this definition to calculate volumes and length of curves etc.160; Topical coverage includes anti-differentiation; integration of trigonometric functions; integration by substitution; methods of substitution; the definite integral; methods for evaluating definite integrals; differential equations and their solutions; and ordinary differential equations of first order and first degree.
- John Wiley & Sons Inc.
- December 13, 2011
- January 3, 2012
- Ulrich L. Rohde, A. K. Ghosh, Ajay K. Poddar, G. c. Jain