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Mathematical Physics (As per UGC CBCS), 1/e

Mathematical Physics (As per UGC CBCS), 1/e

Author : H K Dass

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  • ISBN : 9789355012531
  • Pages : 1072
  • Binding : Paperback
  • Language : English
  • Imprint : S. Chand Publishing
  • © year : 2021

Price : 499.00 399.20

·         H K Dass, M.Sc., Diploma in Specialist Studies (Mathematics), University of Hull, England

·         Dr. Rama Verma, M.Sc. (Gold Medalist), Ph.D., HOD (Mathematics), Mata Sundri College, Delhi University

Mathematical Physics is a branch of mathematical analysis that emphasizes on the tools and techniques of a particular use to physicists as well as engineers. It focuses on Vector Spaces, Matrix Algebra, Differential Equations, Integral Equations, Integral Transforms, Infinite Series and Complex Variables.

·         30 chapters provide an in-depth coverage of every important concept in the subject.

·        "8 additional chapters on the website - Available in the Table of Contents".

o   Chapter 31: Matrices

o   Chapter 32: Eigen Values and Eigen Vectors        

o   Chapter 33: Multiple Integrals

o   Chapter 34: Theory of Errors

o   Chapter 35: Probability and Distributions

o   Chapter 36: Tensors Algebra & Applications

o   Chapter 37: Special Theory of Relativity

o   Chapter 38: Calculus of Variation

·         Over 900 examples aid to the understanding of, and more than 2300 exercise and chapter-end questions aid to the practice of students.

·         Additional Roadmap for the syllabuses of Odisha State, Calcutta, Gauhati, Dibrugarh and Burdwan universities.

Unit-I: Calculus

1.       Limit Continuity and Differentiability

2.       Differentiation

3.       Partial Differentiation

4.       Jacobians

5.       Plotting of Functions and Curves

6.       Approximations (Binomial and Taylor's Series)

7.       First Order Differential Equations

8.       Higher Order Linear Differential Equations with Constant Coefficient

9.       Cauchy - Euler Equations and Method of Variation of Parameters

10.   Simultaneous Differential Equations of First and Second Order

Unit-II: Vector Calculus

11.   Vector Algebra

12.   Vectors Differentiation

13.   Vector Integration

Unit-III: Orthogonal Curvilinear Coordinates

14.   Curvilinear Coordinates

Unit-IV: Fourier Series I

15.   Fourier Series

Unit-V: Frobenius Method and Special Functions

16.   Series Solutions of Second Order Differential Equations

17.   Legendre's Functions

18.   Bessel's Functions

19.   Hermite and Laguerre Functions

20.   Gamma and Beta Functions

Unit-VI: Partial Differential Equations

21.   Applications of Partial Differential Equations

Unit-VII: Complex Analysis

22.   Complex Numbers

23.   Functions of Complex Variables

24.   Complex Integration

25.   Taylor's and Laurent's Series

26.   The Calculus of Residues

Unit-VIII: Integral Transforms

27.   Fourier Transforms

Unit-IX: Laplace Transformation

28.   Laplace Transform and Properties

29.   Inverse Laplace Transforms

Unit-X: Dirac-Delta Functions

30.   Direct-Delta Function and its Properties

Latest Examination Questions

• Index
Additional Chapters for Free Dowload for users

The contents of this book are strictly as per the syllabuses of eastern region of the country. Syllabuses of Odisha, Calcutta, Gauhati, Dibrugarh and Burdwan are completely looked after

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