Algebra, Differential Calculus, Integral Calculus, Real Analysis, Differential Equations, etc are the main topics covered under IIT JAM Mathematics Exam. One can also expect questions from areas like Probability and Statistics, Complex numbers, etc too for this exam. There are plenty of books available which can be referred for studying in depth.

Books on Algebra

Abstract Algebra by Bhattacharya, Jain & Nagpal

Complex numbers from A to Z, by T.Andreescu, D.Andrica

Elementary Linear Algebra by Chatles W.Curtis

Elementary Linear Algebra by H.Anton

Fundamental structure in Modern Algebra by R.S. Mishra and N.N.Bhattacharya

Linear Algebra and its Applications by David C. Lay

Books on Calculus

Calculus by M. J. Strauss, G. L. Bradley and K. J. Smith

Calculus by H. Anton, I. Bivens and S. Davis

Integral Calculus by Gorakh Prasad

A text –Book of Vector Calculus by Shanti Narayan

Calculus by Pisknov

Books on Real Analysis

A Course in Calculus and Real Analysis by Sudhir R. Ghorpade and Balmohan V. Limaye

A course of Mathematical Analysis by Shanti Narayan

A first course in Mathematical Analysis by Somasundaram, Choudhari

Elementary analysis: the theory of calculus by K. A. Ross

Fundamentals of Real Analysis by V.K Krishnan

Introduction to Real Analysis by R. G. Bartle and D. R. Sherbert

Mathematical Analysis by Apostol T.M

Mathematical Analysis by Binmore K.G

Methods of Real Analysis by Richard.R Goldberg

Principles of Mathematical Analysis by Rudin .W

Real Analysis by H.L. Royden

Books on Differential Equations

Advanced Engineering Mathematics by Sastri S.S

Advanced Engineering Mathematics by Wylie, C.R. and Burrett, L.C

Differential and integral equations by Collins, P.J

Differential equations and the calculus of variations by Yankosky

Differential equations and their applications by Ahsan,Z

Differential Equations by G.F.Simmons

Partial differential equations – methods and applications by Mcowan, R.C

Books on Differential Calculus

Differential calculus by Balachanda Rao and C.K Santha

Differential Calculus by Gorakh Prasad

Books on Complex Numbers

Complex variable by Murry R. Spiegel

Complex variable – Theory and application by Kasana H.S

Complex analysis by Ahlfors

Books on Probability and Statistics

A Brief Course in Mathematical Statistics by Hogg, R.V. and Tanis, E.A

A text Book of Statistics by C.E Weatherban

An Introduction to Probability and Statistics by Rohatgi, V. K. and Saleh, A. K

An Outline of Statistical Theory by Goon, A.M., Gupta, M.K. and Dasgupta, B

Fundamentals of Mathematical Statistics by Gupta, S.C. and Kapoor, V.K

Introduction to Probability Models by Ross, S. M

Introduction to the Theory of Statistics by Mood, A.M., Graybill, F.A. and Boes, D

Mathematical Statistics by Ray & Sharma

Statistics by Murray & Spiegel

Read more here: http://trajectoryeducation.com/courses/iit-jam-course/

Books on Algebra

Abstract Algebra by Bhattacharya, Jain & Nagpal

Complex numbers from A to Z, by T.Andreescu, D.Andrica

Elementary Linear Algebra by Chatles W.Curtis

Elementary Linear Algebra by H.Anton

Fundamental structure in Modern Algebra by R.S. Mishra and N.N.Bhattacharya

Linear Algebra and its Applications by David C. Lay

Books on Calculus

Calculus by M. J. Strauss, G. L. Bradley and K. J. Smith

Calculus by H. Anton, I. Bivens and S. Davis

Integral Calculus by Gorakh Prasad

A text –Book of Vector Calculus by Shanti Narayan

Calculus by Pisknov

Books on Real Analysis

A Course in Calculus and Real Analysis by Sudhir R. Ghorpade and Balmohan V. Limaye

A course of Mathematical Analysis by Shanti Narayan

A first course in Mathematical Analysis by Somasundaram, Choudhari

Elementary analysis: the theory of calculus by K. A. Ross

Fundamentals of Real Analysis by V.K Krishnan

Introduction to Real Analysis by R. G. Bartle and D. R. Sherbert

Mathematical Analysis by Apostol T.M

Mathematical Analysis by Binmore K.G

Methods of Real Analysis by Richard.R Goldberg

Principles of Mathematical Analysis by Rudin .W

Real Analysis by H.L. Royden

Books on Differential Equations

Advanced Engineering Mathematics by Sastri S.S

Advanced Engineering Mathematics by Wylie, C.R. and Burrett, L.C

Differential and integral equations by Collins, P.J

Differential equations and the calculus of variations by Yankosky

Differential equations and their applications by Ahsan,Z

Differential Equations by G.F.Simmons

Partial differential equations – methods and applications by Mcowan, R.C

Books on Differential Calculus

Differential calculus by Balachanda Rao and C.K Santha

Differential Calculus by Gorakh Prasad

Books on Complex Numbers

Complex variable by Murry R. Spiegel

Complex variable – Theory and application by Kasana H.S

Complex analysis by Ahlfors

Books on Probability and Statistics

A Brief Course in Mathematical Statistics by Hogg, R.V. and Tanis, E.A

A text Book of Statistics by C.E Weatherban

An Introduction to Probability and Statistics by Rohatgi, V. K. and Saleh, A. K

An Outline of Statistical Theory by Goon, A.M., Gupta, M.K. and Dasgupta, B

Fundamentals of Mathematical Statistics by Gupta, S.C. and Kapoor, V.K

Introduction to Probability Models by Ross, S. M

Introduction to the Theory of Statistics by Mood, A.M., Graybill, F.A. and Boes, D

Mathematical Statistics by Ray & Sharma

Statistics by Murray & Spiegel

Read more here: http://trajectoryeducation.com/courses/iit-jam-course/