Differential Calculus/Hari Kishan.
New Delhi, Atlantic Pub., 2007,
viii, 604 p., fig., ISBN 81-269-0820-2.
Differential Calculus/Hari Kishan.
New Delhi, Atlantic Pub., 2007,
viii, 604 p., fig., ISBN 81-269-0820-2.
Contents: Preface. 1. Successive differentiation and Leibnitz's Theorem. 2. Maclaurin and Taylor Series Expansion. 3. Rolle and Mean Value Theorem. 4. Indeterminate forms. 5. Tangents and normals. 6. Curvature. 7. Envelopes and evolutes. 8. Partial differentiation. 9. Euler's Theorem on Homogeneous Functions and Total Derivative. 10. Change of Variables. 11. Functions of two Variables: Taylor's Theorem. 12. Jacobians. 13. Maxima and Minima. 14. Maxima and Minima of functions of two Variables. 15. Asymptotes. 16. Singular points. 17. Curve tracing.
"The explanation of the subject matter is systematic and all fundamental concepts of the included topics are explained with a micro-analysis. Sufficient number of well-graded solved examples have been given to let the students understand the various skills necessary to solve the problems. Unsolved practice exercises of multiple varieties included in the book will enable the students to have command of the subject. The figures incorporated herein are precise and accurate. These enable the students to grasp the subject matter in an easier way. All the answers have been thoroughly checked and verified. The book will undoubtedly prove useful to students in their study while for the teachers it is an ideal reference source." (jacket)