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The present book R.P. Unified Advanced Calculus and Partial Differential Equations has been designed strictly in accordance with the syllabus prepared .... Read More
The present book R.P. Unified Advanced Calculus and Partial Differential Equations has been designed strictly in accordance with the syllabus prepared by Central Board of Studies, Department of Higher Education, Govt, of M.P. for B.Sc. Mathematics End year students as per the National Education Policy.
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | 1. A brief historical background of Calculus and Partial Differential equations in the context of India and Indian Heritage and Culture, A brief Biography of Baudhayana | 12 |
| 2 | 2. Real Numbers as a Complete Ordered Field | 30 |
| 3 | 3. Sequences of Real Numbers | 52 |
| 4 | 4. Infinite Series | 76 |
| 5 | 5. Alternating Series | 18 |
| 6 | 6. Functions of a Single Variable : Continuity | 21 |
| 7 | 7. Functions of a Single Variable : Differentiability | 6 |
| 8 | 8. Functions of a Single Variable : Mean Value Theorem and Darboux’s Intermediate-Value Theorem for Derivatives | 27 |
| 9 | 9. Limits and Continuity of Functions of Two Variables | 30 |
| 10 | 10. Changes of Variables | 24 |
| 11 | 11. Euler’s Theorem on Homogeneous Functions and Total Derivative | 27 |
| 12 | 12. Taylor’s Theorem for Functions of Two Variables | 10 |
| 13 | 13. Jacobians | 36 |
| 14 | 14. Maxima and Minima of Functions of Two Variables | 53 |
| 15 | 15. Beta and Gamma Functions | 36 |
| 16 | 16. Partial Differential Equations of First Order | 99 |
| 17 | 17. Charpits General Method of Solution | 16 |
| 18 | 18. Partial Differential Equations of the Second and Higher Orders | 22 |
| 19 | 19. Classification of Partial Differential Equations of the Second Orders | 16 |
| 20 | 20. Homogenous Partial Differential Equations with Constant Coefficients | 51 |
| 21 | 21. Non-Homogeneous Equations with Constant Coefficients and Partial Differential Equations Reducible to Equations with Constant Coefficients | 51 |
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