Best Mathematics Books for IIT JAM Exam Preparation 2023

IIT JAM 2022 List of the Best Books to Prepare for the Mathematics Examination (1)

The below table contains the list of the Best Books for the IIT JAM 2023 Mathematics exam preparations.

Author/ Publication	Book’s Name
Dr. Gorakh Prasad	Integral Calculus	Read More
Pearson	Real Analysis	Read More
Krishna’s	Modern Algebra	Read More
New Age International Publishers	Principal of Real Analysis	Read More
S. Chand	Ordinary & Partial Differential Equations	Read More
New Age International Publishers	University Algebra Through 600 Solved Problems	Read More
Schum’s Outlines	Vector Analysis	Read More

Real Analysis

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Covers the basic material in the classical theory of functions of a real variable, measure, and integration theory.
Some of the more important and elementary topics in general topology and normed linear space theory.

Modern Algebra By Krishna Prakashan

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Most of the topics have been covered.
This product will be an excellent pick for you.
It is durable and long-lasting.

Elements Of Real Analysis

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It is a complete and beautiful book for undergraduates to use for IIT Jam and other competitive exams.
This is beginners friendly book with lots of solved problems.

Ordinary And Partial Differential Equations

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Useful for students preparing for competitive exams such as IIT JAM, CSIR NET, etc.
This book includes some solved problems too.

University Algebra Through 600 Solved Problems

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As many as 600 solved problems to prepare for IIT JAM & other competitive examinations.

VECTOR ANALYSIS: Schaum’s Outlines Series

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It contains a lot of worked examples and exercises ranging from most simple to hardest.
It could help one to make their concepts clear and tight grip over the subject matter.

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To secure an excellent rank in the IIT JAM exam, one must give equal importance to other subjects too. Here is the collective list of the best books to get started with your IIT JAM preparations.

IIT-JAM 2022: Mathematics Syllabus for Preparation

Real Analysis

Sequences and Series of Real Numbers

Convergence of sequences bounded and monotone sequences, Cauchy sequences, Bolzano-Weierstrass theorem, absolute convergence, tests of convergence for series – comparison test, ratio test, root test.
Power series (of one real variable), radius and interval of convergence, term-wise differentiation, and integration of power series.

Functions of One Real Variable

limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, Taylor’s series, maxima, and minima.
Riemann integration (definite integrals and their properties), fundamental theorem of calculus.

Multivariable Calculus and Differential Equations

Functions of Two or Three Real Variables

limit, continuity, partial derivatives, total derivative, maxima, and minima.

Integral Calculus

Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.

Differential Equations

Bernoulli’s equation, exact differential equations, integrating factors, orthogonal trajectories, homogeneous differential equations, method of separation of variables.
Linear differential equations of second order with constant coefficients, method of variation of parameters, Cauchy-Euler equation.

Linear Algebra and Algebra

Matrices

Systems of linear equations, rank, nullity, rank-nullity theorem, inverse, determinant, eigenvalues, eigenvectors.

Finite Dimensional Vector Spaces

Linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem.

Groups

Cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups, quotient groups, Lagrange’s theorem for finite groups, group homomorphisms.