TEXTBOOK OF DIFFERENTIAL CALCULUS------PHI
Description:
Calculus is a powerful mathematical tool with applications in almost every branch of science and engineering. This subject is therefore considered to occupy the central position in mathematics.
The second edition of Textbook of Differential Calculus is updated and designed as per the latest syllabi of various Indian universities for undergraduate courses in mathematics. Calculus is best understood via geometry. A major section of the text is devoted to topics on geometrical applications of calculus that includes treatment of topics such as tangents and normals to curves, curvature, asymptotes, maxima and minima of functions.
Key Features :
Contents match with the latest syllabus of Indian universities.
A large number of solved examples, section-end questions and theorems help build an intuitive understanding of mathematics.
Questions have been selected from previous years’ examination papers.
Multiple-choice questions, with answers, at the end of the book, help students prepare for competitive examinations.
Contents:
Introduction
Important Formulae
1. DIFFERENTIAL COEFFICIENTS
2. SUCCESSIVE DIFFERENTIATION
3. EXPANSIONS
4. INDETERMINATE FORMS
5. PARTIAL DIFFERENTIATION
6. TANGENTS AND NORMALS
7. CURVATURE
8. ASYMPTOTES
9. MAXIMA AND MINIMA
10. ENVELOPES
11. CURVE TRACING
Multiple-choice Questions
Answers
Index
