(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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