NTA UGC NET Mathematical Sciences

A Great teacher is required to be a great learner with ability to synthesize and integrateknowledge. The Council of Scientific and Industrial Research (CSIR) has entrusted theresponsibility of conducting CSIR-UGC NET in CBT Mode to NTA. CSIR – UGC is a nationallevel test conducted twice a year (June and December) to determine the eligibility for JuniorResearch Fellowship (JRF) and for Lectureship (LS)/ Assistant Professorship’ in IndianUniversities and Colleges. UGC CSIR NET/SET (JRF and LS) Mathematical Sciences is a well formulated combination ofeasy learning techniques and practice problems containing all the necessary tools andtechniques which assure your success. The entire syllabus of this revised edition has beendivided under 4 Units giving a complete Chapterwise theory of syllabus accommodated with allthe recent changes. In addition to the theoretical portion the book also concentrates on thepractical part by providing Previous years' Solved Papers which are designed according to thepattern suggested by the council. Questions provided in the book for practice give anIdeaof thelevel examinations that have been conducted and moreover they help to track the level ofpreparation is done by the candidates. Packed with Detailed theory and Latest Pattern MCQsfor the page this book makes a systematic ladder to success in CSIR – UGC NET/SET.TABLE OF CONTENTUNIT – I: Set Theory and Real Number System Sequences and Series Limit Continuity andDifferentiability and Mean Value Theorem Functions of Several Variables The RiemannIntegral and Improper Integral Uniform Convergence of Sequence and Series of FunctionsFunctions of Bounded Variation Lebesgue Measure and Metric Space Matrices and VectorSpace Linear Transformations Quadratic Forms and Inner Product Spaces UNIT – II: ComplexNumbers and Analytic Functions Complex Integration and Calculus of Residues ConformalMappings Combinatorics Group Theory Ring Theory Topology UNIT – III: DifferentialEquations Numerical Analysis Calculus of Variations and Linear Integral Equations ClassicalMechanics UNIT – IV: Descriptive Statistics and Theory of Probability Statistical Inferences andGauss Markov Model Linear Programming and Queuing Theory Sample Questions Providedon CSIR website Solved Paper [2016-19].