000			02418nam a22001817a 4500
999			_c45455 _d45455
003			OSt
020			_a9789352837229
082			_a530.15 DAS-M
100			_aDass, H K
245			_aMathematical Physics
250			_a8th
260			_aNew Delhi _bS Chand Pub. _c2020
300			_a1416p.
500			_aUNIT - I 1. Review of Vector Algebra 2. Differentiation of Vectors 3. Integration of Vectors 4. Orthogonal Curvilinear Coordinates 5. Double Integrals 6. Application of the Double Integrals 7. Triple Integration 8. Application of Triple Integration 9. Gamma, Beta Function 10. Theory of Errors 11. Fourier Series UNIT - II 12. Differential Equations of First Order 13. Linear Differential Equations of Second Order 14. Cauchy-Euler Equations, Method of Variation of Parameters 15. Differential Equation of other Types 16. Coupled Differential Equations 17. Applications to Differential Equations 18. Calculus of Variation 19. Maxima and Minima of Functions (two variables) UNIT - III 20. Complex Numbers 21. Expansion of Trigonometric Functions 22. Functions of Complex Variable, Analytic Function 23. Conformal Transformation 24. Complex Integration 25. Taylor's and Laurent's Series 26. The Calculus of Residues (Integration) 27. Series Solutions of Second Order Differential Equations 28. Legendre's Functions 29. Bessel's Functions 30. Hermite Function 31. Laguerres Functions UNIT - IV 32. Abstract Vector Spaces 33. Vectors in Rn 34. Linear Transformations 35. Basis of Null Space, Row Space and Column Space 36. Real Inner Product Spaces 37. Determinants 38. Algebra of Matrices 39. Rank of Matrix 40. Consistency of Linear System of Equations and their Solution (Linear Dependence) 41. Eigen Values, Eigen Vector, Cayley Hamilton Theorem, Diagonalisation (Complex and Unitary Matrices) 42. First Order Lagrange's Linear and Non-Linear Partial Differential Equations 43. Linear and Non-linear Partial Differential Equations with Constant Coefficients of 2nd order 44. Applications of Partial Differential Equations 45. Integral Transforms 46. Laplace Transform 47. Inverse Laplace Transforms (Solution of differential equations) 48. Dirac-Delta Function 49. Tensor Analysis
856			_uhttps://www.google.co.in/books/edition/Mathematical_Physics/IzJdPqEn6VYC?hl=en&gbpv=1&dq=9789352837229&printsec=frontcover
901			_a30484
942			_2ddc _cBK