Hi,

Be thorough with the entire Mathematics syllabus for JAM. Mathematical Analysis by S.C. Malik, Mathematical Analysis by Apostol, Principle of Mathematical Analysis by Rudi are best to cover the topic Functions of One and Two Real Variables; Real Analysis by H. L. Royden for the topic Real Analysis; Geometry & Vectors by Vasishtha and Calculus by Thomas & Finny for Vector Calculus are some of the suggested books. For more details on books and preparation tips of IIT JAM Maths, visit the link below:

https://university.careers360.com/articles/how-prepare-jam-mathematics

Kailash Publication's IIT JAM book are best

You can refer below books for your preparation

Differential Equations

M. D. Rai Singhania

S L Ross

Abstract Algebra

P. Bhattacharya

P .K. Jain spectrum publication

Real Analysis

H. L. Royden

Integral Calculus

F. Ayres (Schaum’s)

Gorakh Prasad

Books on Group Theory

Group Theory by Sudesh Kumar Shah

Books for Vector Analysis

Vector Analysis: Schaum’s Outlines Series

Good Luck!!

Here are some of the books name you can prefer for IIT JAM preparation.

Integral Calculus: F. Ayres (Schaum’s), Gorakh Prasad

2. Vector Calculus: Murray R. Spiegel (Schaum’s), A.R.Vasishtha

3. Linear Algebra: Seymour Lipschitz (Schaum’s), H. Anton, A.R.Vasishtha.

4. Ordinary Differential Equation: Peter J. Collins, G.F. Simmons, M.D. Raisinghania.

5. Principle of Real Analysis: S. C. Malik.

6. Real Analysis: H. L. Royden.

7. Modern Algebra: A. R. Vasishtha 8. University Algebra: N. S. Gopalakrishan.

Good Luck!