Mathematical Physics (LPSPE), 8/e

Mathematical Physics (LPSPE), 8/e

Authors : H K Dass & Dr. Rama Verma

  • ISBN
  • Pages
  • Binding
  • Language
  • Imprint
  • List Price
Buy e-book online :
 

Save 25%, Apply coupon code SCHAND25 during checkout

 

About the Author

H K Dass :-
Prof. H.K. Dass, recepient of British Scholarship in 1971-72, for Specialist Study in ADVANCE MATHEMATICS at University of Hull, England. Prof. Dass, M. Sc. (Mathematics) Ist. division and college topper, has been teaching Mathematics to Engineering students for last 35 years and is the most popular faculty among students. Prof. Dass has etablished his reputation all over India and other neighbouring countries very firmly as an author of Mathematics Text books. He has to his credit 20 books of Engineering Mathematics and Maths school books. His books are very popular among engineering students all over the country, Sri lanka, Pakistan, East Asia and African countries. After the success of Engineering Mathematics books, the publisher encouraged him to write mathematics books for schools. In a short span of time, his mathematics books for class IX, X, XI and XII are a hit among school teachers' and students' community. ""Mathematics for class X"" is the best book among all the prevailing books available to the students, and gets a special mention. He has been awarded as Distinguished Author by our company. As an educationist his name has been approved as Member, Governing Body of Shyam Lal College by VC, University of Delhi. Prof. H.K. Dass has been conferred with "" SECULAR INDIA HARMONY AWARD - 1998"" by Honb'le Prime Minister, Shri Atal Behari Vajpayee in 1999. His famous books are: • Advanced Engineering Mathematics • Engineering Mathematics for AMIE • Mathematical Physics for B.Sc. Hons. • Introduction to Engineering Mathematics I & II for U.P. • Basics of Engineering Mathematics I, II & III for M. P. • Concept of Engineering Mathematics for Orissa • Fundamentals of Engineering Mathematics I, II & III for Uttarakhand • S. Chand's Engineering Mathematics I & II for Nagpur • Elements of Engineering Mathematics I & II for Gujarat (In Press) • Mathematics for IX, X , XI & XII(English-Hindi) • Laboratory Manual in Mathematics for X • Simplified Co-ordinate Geometry for B. Sc.


Dr. Rama Verma :-
She is Gold Medalist M.Sc. (Mathematics) and Ph.D. At present she is Associate Professor, Mata Sundri College, Delhi University, Delhi.
 

About the Book

"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.
 

Contents

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'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
 

Key Features

  • 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.