# (Book) UGC CSIR NET / SET (JRF & LS) - Mathematical Sciences by Arihant

## UGC CSIR NET / SET (JRF & LS) - Mathematical Sciences

## Book Details

**Author:** Neha Sharma , Pawan Sharma , Suraj Singh**Publisher:** Arihant**ISBN-10:** 935176656X**Edition:** 2nd Edition**Book Type:** Entrance Exam Book**Number of Pages:** 1316 Pages**Publication Year:** 2014 October**Language:** English**ISBN-13:** 9789351766568**Binding:** Paperback

## Table of Contents

### Unit I

1. Set Theory and Real Number System

2. Sequences and Series

3. Limit, Continuity and Differentiability and Mean Value Theorem

4. Functions of Several Variables

5. The Riemann Integral and Improper Integral

6. Uniform Convergence of Sequences and Series of Functions

7. Functions of Bounded Variation, Lebesgue Measure and Metric Space

8. Matrices and Vector Space

9. Linear Transformations

10. Quadratic Forms and Inner Product Spaces

### Unit II

11. Complex Numbers and Analytic Functions

12. Complex Integration and Calculus of Residues

13. Conformal Mappings

14. Combinatorics

15. Group Theory

16. Ring Theory

17. Topology

18. Differential Equations

19. Numerical Analysis

20. Calculus of Variations and Linear Integral Equations

21. Classical Mechanics

### Unit III

22. Descriptive Statistics and Theory of Probability

23. Statistical Inferences and Gauss Markov Model

24. Linear Programming and Queuing Theory

Sample Question Provided on CSIR website (With Solutions)

Solved Paper 2011 (June)

Solved Paper 2011 (December)

Solved Paper 2012 (June)

Solved Paper 2012 (December)

Solved Paper 2013 (June)

Solved Paper 2013 (December)

Solved Paper 2014 (June)

## Summary Of The Book

In order to ensure minimum standards for the entrants in the teaching profession and research, the University Grants Commission (UGC) conducts the National Eligibility Test (NET) twice a year to determine eligibility for lectureship and foraward of Junior Research Fellowship (JRF) to Indian nationals. UGC NET tutor mathematical sciences has been revised as per the new syllabic and examination pattern issued by the UGC for Mathematical Sciences.

The book has been divided into 24 Chapters according to the syllabus of Mathematical Sciences. The chapters namely Set Theory and Real Number System, Sequences and Series, Limit, Continuity and Differentiability and Mean Value Theorem, Functions of Several Variables, The Riemann Integral and Improper Integral, Uniform Convergence of Sequences and Series of Functions, Functions of Bounded Variation, Lebesgue Measure and Metric Space, Matrices and Vector Space, Linear Transformations, Quadratic Forms and Inner Product Spaces, Complex Numbers and Analytic Functions, Complex Integration and Calculus of Residues, Conformal Mappings, Combinatorics, Group Theory, Ring Theory, Topology, Differential Equations, Numerical Analysis, Calculus of Variations and Linear Integral Equations, Classical Mechanics, Descriptive Statistics and Theory of Probability, Statistical Inferences and Gauss Markov Model and Linear Programming and Queuing Theory.

More than 4000 previous years objective questions from 2011 - 2014 have been covered chapterwise. Some specific facts have been covered in a box and through pictures for better understanding. Also last four years (2011 - 2014) solved paper of UGC NET Mathematical Sciences has been given to help candidates understand the recent exam pattern. Separate exercises for Part B and C have been provided in the book. Detailed and authentic solutions for all the previous years questions have been provided at the chapter end. The book also contains various types of objective questions based on the latest examination pattern to help the candidates get familiar with the new examination pattern. At the end of the book, four practice papers have been given for thorough practice and self analysis. This book is equally useful for various state eligibility tests as well. As the book has been designed according to the latest examination pattern of UGC Mathematical Sciences, it for sure will help the aspirants climb up the ladder to success.

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