Calculus with Applications  (English, Paperback, M. Brokate, Pammy Manchanda, A. H. Siddiqi)

The book explains the basic concepts of calculus with their relevance to the real world problems. It focuses on applications with rigorous emphasis on analysis. Plenty of solved examples are given to clarify techniques related to a particular theme.

The text is application oriented. Many interesting, relevant and up-to-date applications are drawn from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest. Applications are found in the main body of the text as well as in the exercise sets. In fact, it includes at least one real-life application in each section wherever possible. Appendices discuss concepts and themes, regarded as prerequisites, like the number system, trigonometric functions and analytic geometry. Proofs of many important theorems are also included. This book is meant to be used for a first course in calculus addressed to students of science and engineering.

Table of Contents

• Functions and Models
• Limit and Continuity
• Derivatives
• Optimization
• Sequences and Series
• Integration
• Applications of Integration
• Functions of Several Variables
• Vector Calculus
• Fourier Methods with Applications
• Calculus with Matlab
• Solutions of Exercise
• Appendices
• Bibliography
• Index