Engineering Mathematics : Volume 1
| About The Book Engineering Mathematics
This well-organized and readable text is intended for the first-year engineering students of all disciplines for a first-semester course in engineering mathematics. The book provides a thorough exposure to three broad areas of engineering mathematicsdifferential and integral calculus, analytical geometry and vector analysis. It is designed to help students acquire a solid foundation in the basic skills of these areas of mathematics and also to enable them to develop problem-solving skills. Written in an easy-to-understand style, the book is self-contained for independent study as well.
Key Features :
Provides clear and focused coverage of topics.
Theory and concepts are explained step-by-step to substantiate the results and to aid the learning process.
Provides a large number of fully-worked examples and exercises in each chapter.
Gives short answer and long answer questions at the end of each chapter.
Table of Contents:
Chapter 1 INFINITE SERIES
Chapter 2 LIMIT, CONTINUITY AND DIFFERENTIABILITY
Chapter 3 SUCCESSIVE DIFFERENTIATION
Chapter 4 MEAN VALUE THEOREM
Chapter 5 REDUCTION FORMULA
Chapter 6 RECTIFICATION
Chapter 7 FUNCTIONS OF SEVERAL VARIABLES: LIMIT, CONTINUITY AND PARTIAL DERIVATIVES
Chapter 8 MAXIMA AND MINIMA
Chapter 9 JACOBIANS
Chapter 10 MULTIPLE INTEGRALS
Chapter 11 AREA, VOLUME AND SURFACE OF REVOLUTION
Chapter 12 MOMENT OF INERTIA AND CENTRE OF GRAVITY
Chapter 13 VECTOR ALGEBRA
Chapter 14 GRADIENT, DIVERGENCE AND CURL
Chapter 15 VECTOR INTEGRATION
Chapter 16 THREE-DIMENSIONAL GEOMETRY