Ghosh J.D., Haque A. How to Learn Calculus of One Variable. Vol. 1

New Age International Pvt Ltd Publishers, 2008. — 960 p. — ISBN: 8122415245, 9788122415247.This book can be used as a supplement to any standard book such as 'Analytic geometry and calculus' by Thomas and Finny. A student will easily understand the underlying principles of calculus while going through the worked-out examples which are fairly large in number and sufficiently rigorous in their treatment. For the convenience of the beginners we have stressed upon working rules in order to make the learning all the more interesting and easy. A student thus acquainted with the basics of the subject through a wide range of solved examples can easily go for further studies in advanced calculus and real analysis.Function.
Limit and Limit Points.
Continuity of a Function.
Practical Methods of Finding the Limits.
Practical Methods of Continuity Test.
Derivative of a Function.
Differentiability at a Point.
Rules of Differentiation.
Chain Rule for the Derivative.
Differentiation of Inverse Trigonometric Functions.
Differential Coefficient of Mod Functions.
Implicit Differentiation.
Logarithmic Differentiation.
Successive Differentiation.
L’Hospital’s Rule.
Evaluation of Derivatives for Particular Arguments.
Derivative as Rate Measurer.
Approximations.