## CSIR NET 2020 Syllabus

- Fourier series, Fourier and Laplace transform.
- Vector algebra and vector calculus. Linear algebra, matrices
- Elements of complex analysis, analytic functions;
- Linear ordinary differential equations of first & second order, Special functions (Hermite, Bessel, Laguerre and Legendre functions).
- Dimensional analysis.
- Vector algebra and vector calculus.
- Linear algebra, matrices,
- Cayley-Hamilton Theorem. Eigenvalues and eigenvectors.
- Taylor & Laurent series; poles, residues and evaluation of integrals.
- Elementary probability theory, random variables, binomial, Poisson and normal distributions.
- Central limit theorem.

## GATE 2020

- Linear vector space: basis, orthogonality and completeness;
- matrices; vector calculus; linear differential equations; elements of complex analysis:
- Cauchy- Riemann conditions, Cauchy’s theorems, singularities, residue theorem and applications;
- Laplace transforms, Fourier analysis;
- elementary ideas about tensors: covariant and contravariant tensor, Levi-Civita and Christoffel symbols.

## The Best Reference book for Mathematical Physics

###
**1**. **Mathematical methods in physical sciences by M. L. Boas**

(Recommendation for beginners )

I think it lacks Group Theory, but that's still not enough reason to not use the book extensively.

### 2. G.B Arfken, H.J Weber and F.E. Harris Mathematical Methods for Physicists

It is neither too hard nor too simple as far a good book for beginners

Deep understanding of the mathematical concepts which are the cornerstone of modern physics and are considered essential for researchers and students interested in advance theoretical physics.

###
**3. Mathematical Physics by H.K.Das**

(Recommendation for Indian Students)

The textbook contains 49 chapters on all major topics in an exhaustive endeavour to cover syllabuses of all major universities

### 4. Mathematics of classical and quantum physics (Addison-Wesley series in advanced physics)

( Recommendation for the Advance learner )### 5. A Guided Tour of Mathematical Methods for the Physical Sciences by Roel Snieder, Kasper van Wijk

(Recommendation for Competitive exam preparation)

This book provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students across the physical sciences

### 6. Mathematical Methods for Physics and Engineering by Ken F. Riley, Mike P. Hobson, Stephen J. Bence

(Recommendation for Engineering Students )

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences

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Note:- This content is written by author point of view if you find some easiest book then please comment below or write an email myephysics@gmail.com