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Reference Books for Preparation of CSIR NET Mathematical Science
Joint CSIR-UGC NET exam
The CSIR is the Council of Scientific and Industrial Research conducting the Joint CSIR-UGC NET exam twice a year. Now currently, National Testing Agency( NTA) conducts CSIR NET Exam twice a year in June and December. The CSIR NET exam is to be held for determining the eligibility of the candidates for the award of JRF (Junior Research Fellowships) NET and also for providing eligibility for the appointment of Lecturers (NET) in certain subject areas such as Chemical Sciences, Earth Sciences, Life Sciences, Mathematical Sciences, and Physical Sciences.
Joint CSIR UGC NET exam pattern
The Joint CSIR-UGC NET exam pattern for the Single Paper MCQ (Multiple Choice Question)test contains:- The maximum marks for the exam is 200. The time duration of the exam is 3 hours. Three parts are there in the question paper.
Part 'A' is common to all subjects. This part A may contain a maximum of 20 questions of General Aptitude. The candidates are requested to answer any 15 questions from the 20 questions. Two marks are to be awarded for each question. The total marks for Part 'A' are 30 (out of 200).
Part 'B' may contain subject-related MCQs. The total marks to be allocated to this part will be 70 (out of 200). The candidates are requested to answer any 35 questions from the 40 questions. Two marks will be for each question.
Part 'C' may contain deep questions to test the candidate's knowledge of scientific concepts and/or application of the scientific concepts. The candidates are requested to answer any 25 questions from the 60 questions. The total marks to be allocated to this part will be 100 (out of 200). Four marks are to be awarded for each question.
* Negative mark will be 25% for each wrong answer.
Reference Books for Preparation of CSIR NET Mathematical Science
Real Analysis: (a) Introduction to Real analysis, Robert Bartle, SR Sherbert
(b) Introduction to real analysis, sk mapa
(c) Principles of mathematical analysis, walter rudin
(d) sl gupta, nr gupta fundamental real analysis
(e) Mathematical analysis, sc malik savita arora
(f) Mathematical analysia, Tom apostol
I suuggest you to go through the books mentioning in (a) and (b). For calculus you can go thru Thomas Calculus.
2. Linear Algebra: (a) Linear Algebra, SH friedberg,AJ insel,LE,spence
(b) Linear Algebra, vikas bist, vivek sahai
(c) Linear Algebra, K hoffman ,R kunze
(d) Linear Algebra by Schaum outlines
3. Modern Algebra: (a) Contemprary Abstract algebra, joseph gallian
(b) A course in abstract algebra, vijay khanna, sk bhambri
(c) Abstract algebra, david s. dummit, richard M. foote.
I suugest you to go thru books in (a) and (b). They are sufficient.
4. Complex Analysis:(a) Complex variables(theory and applications) , HS kasana
(b) Foundations of complex analysis, S. Ponnusammy
(c) Complex variables and applications, JW Brown, RV Churchill
(d) Complex analysis, Zill and Shanahan
I suggest you to go thru the book in (a). it is suffient. other books are by authors lv ahlfors, jb conway, walter rudin.
5.Ordinary differential equations: (a) ordinary and partial differential equations, dr. md raishinghaniya
(b) Differential equations, SL Ross
6.Partial differential equations: Authors- s shankra rao, T amarnath, md raishinghaniya
7. Calculus of variations: As gupta, md raishinghaniya
8. Integral equations: (a) integral equations by md raishunghaniya
(b) pundir and pundir
(c) shanti swaroop
9. Numerical anlysis by ss shastri
numerical methods by jain iyenger jain is quite difficult for this exam. I suggest you to go thru ss shastry.
10. Metric spaces:(a) pk jain , khalil ahmad
(b) Topology of metric spaces, S kumaresan
11. If you have working knowledge of lebesgue measure, topology, functional analysis then you can go thru these subjects. but i think above subjects are suffient to qualify this exam. Some books regarding these subjects are there:
(a) Topology by james munkers, gf simmons, kd joshi, jamea kelley
(b) Measure theory by hl royden, gd barra, pk jain vp gupta.
(c) functional analysis by kreyszig, thamban nait, bv limaye.
All The Best…..
1) Mathematical analysis - TOM M. APOSTOL
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2) Linear Algebra - Hoffman- Kunze
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3) Elementary Linear Algebra
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Abstract Algebra-
1) Abstract Algebra - Schaum series
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2) Contemporary Abstract Algebra - Joseph A. Gallian
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3) Topics in Algebra - I.N Herstein
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Partial Differential Equations-
1) Elements of Partial differential Equations- Sneddon
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2) Partial differential equations and boundary value problems- Mark A. pinsky
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Numerical analysis-
1) Numerical methods -Iyenger & Jain
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Complex Analysis -
1)Complex Variables - Schaum series
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Differential Equations-
1) Differential Equations- Schaum series
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2) An introduction to ordinary differential equations
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3) Elementary Differential equations and boundary value problems
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