Calculus: Differentiation and Integration
Author: ICFAI University Press
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Calculus – Differentiation and Integration focuses on the introductory aspects of the course. This book has been tailor made for the UG students' in an elegant way without unnecessary jargon. Adequate emphasis has been given on basic principles, theory and pedagogy.
Table of Content
- Real Numbers
- Functions and Graphs
- Limits and Continuity
- Differentiation
- Successive Differentiation
- Applications of the Derivative to Geometry
- Maxima and Minima
- Indeterminate Forms
- Mean Value Theorems
- Differential Operators
- Integration
- Methods of Integration
- Integration of Algebraic Rational Functions
- Integration of Irrational Functions
- Applications of Integration
- Successive Partial Integration
- Infinite Sequences and Series
Salient Features
- Tailor-made for undergraduates and designed to inform without overwhelming students with unnecessary jargon
- Comprehensively covers the key ideas of calculus over 17 chapters, with 3 chapters covering the preliminaries, 7 chapters dedicated to differential calculus and 7 chapters dedicated to integral calculus
- In-depth theoretical analysis of each and every topic
- Comprehensive coverage on topics such as successive differentiation and maxima and minima
- Practical applications of the concepts of differentiation and integration are explained in detail to give students firm perspective on the subject
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