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Books for TRB syllabus Topic Authors Analysis 1. Rudin 2. Apostol Algebra 1. Herstein 2. Hoffman Kunze Complex Analysis Ahlfors Topology Munkres Functional Analysis Simmons Differential Equations 1. Sneddon 2. coddington 3. Sankara rao 4. Simmons 5. Grewal (Enggineering Mathematics) Differential Geometry 1. Willmore 2. Somasundaram Probability and Statistics 1. Hogg 2. Gupta Kapoor 3. Grewal (Enggineering Mathematics) Linear programming 1.Sharma, J.K 2. Taha 3. Grewal (Enggineering Mathematics) Numerical Analysis 1. Brian Bradie 2. Jain and Iyyenger 3. Grewal (Enggineering Mathematics) Graph Theory Bondy and Murty Mechanics related subjects 1. Goldstein 2. ...

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Practice Problems-1 (PG Mathematics)

July 15, 2019

Those who are preparing for competitive examinations in mathematics may utilize... All the best... 1. Find the radius of convergence

$\Sigma \frac{(-1)^n}{n}(z-i)^n$ 2. Find the limit

$x log x$ as

$x$ tend to 0. 3. Find the number of generators in

$(Z_{60}, \oplus)$ . 4. Let

$J$ be the square matrix with all entries 1. Then the rank of

$J$ is _____ 5. Let V be the space of all polynomials of degree n, with complex coefficients. Then the dim V over

$\mathbb{R}$ is _____ 6. Give an example of a Lebesgue integrable but not Riemann integrable function. 7. If

$Y=2X+3$ , find the correlation coefficient between

$X$ and

$Y$ . 8. Find the number of nonisomorphic abelian groups of order 60. 9. Let

$G$ be a group of order 15. Then G is

$A$ . nonabelian

$B$ . Simple

$C$ . Cyclic

$D$ . None of these 10. Give an example of a group in which every subgroup is normal 11. In a cyclic group of order 36, no. Of subgroups of order 6 is _____ 12. In $(Z_{12}, \op...