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Quick Overview

About the Book

This textbook has been written according to the new revised syllabus of AICTE which includes the syllabus of the Maulana Abul Kalam Azad University of Technology (Formerly WBUT) as well as other universities/institutes for the first year (First semester: all stream) students. It consists of fourteen chapters with various types of problems along with worked out examples which are essential to the Engineering /Technological students. This book can also be treated as a supplementary book for BE/B.Tech. Students of other universities/institutions. Multiple Choice Questions (MCQs) with answers have been provided in this textbook which will be helpful for GATE and other competitive examinations.

Salient Features

* Concise Coverage of latest syllabus of AICTE which includes the second year (1st semester) all stream students.
* This book offers a course in Mathematics consists of the topics :
a) Infinite Series
b) Vector Calculus
c) Important Identities
d) Miscellaneous examples
e) Two important infinite series
Contents
1.  Curvature: Evolutes and Involutes
2. Improper Integrates: Beta and Gamma Function
3. Volumes and Surfaces of Revolution
4. Mean value theorems and expansions of functions
5. Indeterminate forms: L’Hospital’s rules
6. Maxima and Minima
7. Infinite Series
8. Fourier Series
9. Calculus of Functions of Several Variables
10. Vector Calculus
11. Matrix I
12. Matrix II
13. Matrix III
14. Vector Spaces
Questions & Solution

About the Author

Dr. Guruprasad Samanta received his M.Sc. and Ph.D. in Applied Mathematics from Calcutta University in 1985 and 1991, respectively. He is now a Professor (HAG) in the Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India. His areas of research are Mathematical Biology and Operations Research. He is a member of the National Academy of Sciences, India. He received his D.Sc. in 2022.