Best Mathematics Books for IIT JAM Exam Preparation 2023
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 | ||
Pearson | ||
Krishna’s | ||
New Age International Publishers | ||
S. Chand | ||
New Age International Publishers | ||
Schum’s Outlines |
- 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
- Most of the topics have been covered.
- This product will be an excellent pick for you.
- It is durable and long-lasting.
- 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
- 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
- As many as 600 solved problems to prepare for IIT JAM & other competitive examinations.
VECTOR ANALYSIS: Schaum’s Outlines Series
- 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
- 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.
- 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
- limit, continuity, partial derivatives, total derivative, maxima, and minima.
- Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.
- 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
- Systems of linear equations, rank, nullity, rank-nullity theorem, inverse, determinant, eigenvalues, eigenvectors.
- Linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem.
- Cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups, quotient groups, Lagrange’s theorem for finite groups, group homomorphisms.
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