Mathematics For IIT JAM by Mukesh Kumar Singh
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Overview: SYLLABUS- MATHEMATICS FOR IIT JAM,
Sequences and Series of Real Numbers : Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series.
Functions of One Real Variable : Limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, maxima and minima.
Functions of Two or Three Real Variables : Limit, continuity, partial derivatives, differentiability, maxima and minima.
Genre: Non-Fiction > Educational
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