A Great teacher is required to be a great learner with ability to synthesize and integrate
knowledge. The Council of Scientific and Industrial Research (CSIR) has entrusted the
responsibility of conducting CSIR-UGC NET in CBT Mode to NTA. CSIR � UGC is a national
level test conducted twice a year (June & December) to determine the eligibility for Junior
Research Fellowship (JRF) and for Lectureship (LS)/ Assistant Professorship� in Indian
Universities and Colleges.�
UGC CSIR NET/SET (JRF & LS) Mathematical Sciences is a�well formulated�combination of
easy learning techniques and practice problems containing all the necessary tools and
techniques which assure your success. The entire syllabus of this revised edition has been
divided under 4 Units giving a complete Chapterwise theory of syllabus accommodated with all
the recent changes. In addition to the theoretical portion the book also concentrates on the
practical part by providing Previous Years� Solved Papers, which are designed according to the
pattern suggested by the council. Questions provided in the book for practice give an idea of the
level examinations that have been conducted and moreover they help to track the level of
preparation is done by the candidates. Packed with Detailed theory and Latest Pattern MCQs
for the page, this book makes a systematic ladder to success in CSIR � UGC NET/SET.
TABLE OF CONTENT
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 Solved Paper [2016-19].