Differential Calculus

Contents Preface. 1. Fundamental principles. 2. Differentiation of the elementary forms. 3. Successive differentiation. 4. Maxima and minima. 5. Rates and differentials. 6. Differential of an area arc volume and surface of revolution. 7. Applications to curve tracing. 8. Differentiation of functions of two variables. 9. Change of variable. 10. Expansion of functions. 11. Indeterminate forms. 12. Contact and curvature. 13. Singular points. 14. Envelopes. 15. General principle of intergration. 16. Reduction formulas. 17. Integration of rational fractions. 18. Integration by rationalization. 19. Integration of trigonometric functions. 20. Integration as a summation areas. 21. Geometrical applications. 22. Successive integration. 23. Some applications of integral calculus to problems of mechanics. 24. Formulas for reference. During the last decade the various universities have revised the syllabi in mathematics. The present text entitled Differential Calculus has been written in such a way that it covers the latest syllabi. In this text all theorems and axioms have been explained by a large number of solved examples. This text will prove to be useful for undergraduate and postgraduate students of mathematics. 466 pp.…