UGC-CSIR NET (JRF & LS) Mathematical Science by Dr. Pawan Sharma Anshuman Suraj Singh

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Book Summary of UGC-CSIR NET (JRF & LS) Mathematical Science

Table of Contents
Unit I

• 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 Sequence & Series of Functions
• Functions of Bounded Variation, Lebesgue Measure and Metric Space
• Matrices and Vector Space
• Linear Transformations
• Quadratic Forms & Inner Product Spaces

Unit II

• Complex Numbers and Analytic Functions
• Complex Integration and Calculus of Residues
• Conformal Mappings
• Combinatorics
• Group Theory
• Ring Theory
• Topology

Unit III

• Differential Equations
• Numerical Analysis
• Calculus of Variations and Linear Integral Equations
• Classical Mechanics

Unit IV

• Descriptive Statistics and Theory of Probability
• Statistical Inferences & Gauss Markov Model
• Linear Programming and Queuing Theory

Sample Questions Provided on CSIR website (With Solutions)
Solved Paper 2011 (June)
Solved Paper 2011 (December)