Mathematical Physics 8th Edition (2024)

“Mathematical Physics” has been written to provide the readers a clear understanding of the mathematical concepts which are an important part of modern physics. The textbook contains 49 chapters on all major topics in an exhaustive endeavour to cover syllabuses of all major universities. Some of the important Topics covered in these chapters are vectors, integration, Beta and Gamma functions, differential equations, Complex Numbers, matrix and Determinants and the Laplace transforms. Comprehensive: Coverage to cater to syllabuses of major universities. On the website: One will find solved question papers of 2016 and 2017 along with useful formulae for easy download. Student friendly: In the way that the text goes in depth of the subject with as many as 49 chapters which contain over 1600 examples and over 225 exercise sets. unit – 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 functions 29. Bessel 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.