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About the Author

P K Mittal :- M.Sc., Ph.D., Head of Mathematics Deptt. Govt. Post Graduate College, RISHIKESH

About the Book

For B.Sc. II year of all Indian Universities. The book prepared keeping in view the syllabi prepared by different universities on the basis of UGC Model Curriculum. The present book has evolved out of my experience of more than three decades of classroom teaching at B.Sc. Level. The following have been added to make the book student friendly.
•Illustrative solved Examples, •Uptodate Questions added of different important Indian Universities. •Objective Type Questions given as per the requirement of the topic.• All important subjects like Algebra, Trignometry, Differential Calculus, Integral Calculus, Differential Equations, Vector Analysis and Geometry given in the single volume book.

Contents

BMH 201 (A & B) Adva nced Calculus: Advance Calculus: 1. Continuity of Single
Variable, 2. Differentiability of One Variable, 3. Limits and Continuity of Functions of
two Variables, 4. Partial Differentiation, 5. Change of Independent Variables, 6. Taylor's Theorem for Functions of two Variables, 7. Jacobians, 8. Envelopes and Evolutes, 9. Maxima and Minima, 10. Indeterminate Forms, 11. Beta and Gamma Functions, 12. Multiple Integrals, 13. Dritchlet's Theorem, 14. Sequences, 15. Convergence of Series, 16. Absolute Convergence, BMH 202 (A & B) Differential Equations: Differential Equations: 1. Series Solutions of Linear Differential Equations, 2. Legendre's Polynomials and Functions, 3. Bessel Functions, 4. Hypergeometric Functions, 5. Orthogonality of Functions, 6. The Laplace Transforms, 7. The Inverse Laplace Transform, 8. Application of Laplace Transform to Solution of Differential and Integral Equations, 9. Partial Differential Equations of the First Order, 10. Partial Differential Equations of Second Order, 11. Linear Partial Differential Equation with Constant Coefficients, 12. Mong's Method, 13. Calculus of Variations, BMH 203 (A & B) Mechanics: Statics: 1. Analytical Conditions of Equilibrium of Coplanar Forces, 2. Virtual Work, 3. Common Catenary, 4. Force in Three Dimensions, 5. Stable and Unstable Equilibrium, Dynamics: 1. Velocity and Acceleration along Radial and Transverse Directions, 2. Tangential and Normal Velocities and Accelerations, 3. Simple Harmonic Motion and Elastic Strings, 4. Motion on Smooth and Rough Plane, 5. Motion in a Resisting Medium, 6. Motion of Particle of Varying Mass, 7. Central Orbits, 8. Planetary Motion, 9. Motion in Three Dimensions