NTA CSIR UGC NET/SET/JRF & Lectureship 2025 - Study Guide Mathematical Sciences

BOOK STRUCTURE. Unitwise coverage of the entire syllabus for Mathematical SciencesSample questions provided on CSIR websiteSolved paper 2024. BOOK FEATURES. Complete & exhaustive coverage of the theoryChapterwise coverage of the complete syllabusSufficient number of MCQs as per the latest patternContains all the necessary tools & techniquesIncludes sample questions provided on CSIR website for practiceFully solved 2024 question paper for paper pattern understanding. WHY THIS BOOK?. Structured in a way that every topic begins with a discussion of the physics like a textbook and supplemented by practice questionsIncludes long answer and subjective type questions for better understandingOnly book in the market that has complete & exhaustive theory exactly on the NTA UGC CSIR NET pattern & difficulty levelContains all the necessary tools & techniques which will assure your success in the exam. TABLE OF CONTENTS:. UNIT I: Set Theory and Real Number System Sequences and Series Limit Continuity and Differentiability and Mean Value Theorem The Riemann Integral and Improper Integral Uniform Convergence of Sequence & Series of Functions Functions of Several Variables 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 and Gauss Markov Model Linear Programming and Queuing Theory Sample Questions Provided on CSIR Website Solved Paper 2024