Csir net Mathematics Reference Books.

CSIR-UGC NET is a competitive exam conducted by Human Resource Development group (HRDG) twice in a year in the month of June&December.This exam is mainly conducted for finding eligible person for Lectureship in India and for finding young scientists in India through a fellowship JRF . Each JRF qualified candidate is awarded a fellowship of Rupees 25000 for persuading research in various institutions in India.

CSIR is conducting exams in 6 disciplines mainly.They are Mathematical Sciences,Physical Sciences, Chemical Sciences , Life Sciences , Earth Sciences and Engineering Sciences.
        Out of which I am Introducing Reference books for Mathematics which helps to crack CSIR-NET. The examination turn to be objective type after June 2011 and after that it has turned to be very difficult to crack CSIR-NET in Mathematics . I think main problem is with books we refer. I am sure if you follow the books below you may crack 90% of the questions in the examination.
In Mathematics there are three parts in Examination Part A, Part B and Part C with total 200 marks .

Syllabus: Mathematical Science

PART A

This Part have 20 questions out of which you can answer up-to 15 questions and each carries 2 marks and with 0.5 negative marks for wrong answers. Questions are in multiple choice format with only one correct answer.

Books:

• CSIR-NET General Aptitude - A New Outlook by Christy Varghese 
• Upkar's CSIR-UGC Net/JRF Mathematical Sciences by Dr A.Kumar

PART B & PART C

These two parts have common syllabus,they only differs in the pattern of questions.They are given in four units , where UNIT -IV is meant for Statistics students and Mathematics students can answer from rest of the three units.

 Part B have 40 questions you can answer up-to 25 questions each of which carries 3 marks and with 0.75 negative marks for wrong answers.Questions are in MCQ format with only one correct answer.

Part C have 60 questions you can answer up-to 20 questions each of which carries 4.75 marks. There is no negative marking in this section.Questions are in MCQ format with one or more correct options.

Credit is provided for answering of all correct options only.

BOOKS:

UNIT- I: Have two topics Analysis and Linear Algebra.

Analysis Books:

• Mathematical Analysis by S.C. Malik and Savitha Arora(An overall study **)
• Real Analysis  by H.L. Royden (Lebesgue Measure and Integrals)
• Elementary Real Analysis by B.S. Thomson, A.M. Bruckner & J.B.Bruckner (Directional derivatives,Inverse&Implicit function Theorems etc  helps for study of concepts)
• Introduction to Topology and Modern Analysis by G.F. Simmons (Metric Spaces)

Reference books:

• Introduction to real analysis by Robert G. Bartle & Donald R. Sherbert
• Methods of real analysis by Richard Goldberg.
• Principle of Mathematical analysis by Walter Rudin

Linear Algebra Books:

• Linear algebra by Vasishtha and Sharma (Krishna series) (An Overall study)
• Linear algebra by Seymour Lipschutz and Marc Lipson Schaum series (More Problems)
• Linear algebra by Stephen H. Friedberg , Arnold J Insel ,Lawrence E(More on Inner Product,Quadratic Forms)

Reference books:

• Linear algebra by K Hoffman and R Kunze.
• Elementary linear algebra by Devi Prasad .
• Linear algebra and its applications by David C Lay.

UNIT - II: Have three topics Complex Analysis,Algebra & Topology.


Complex Analysis Books:

• Foundation of Complex Analysis by S. Ponnusamy (An Overall study).
• Schaum's Outline of Complex variables by Murray R. Spiegel (More Problems).
• Complex Variables and Applications by J W. Brown and V. Churchill (An Overall study).

Reference Books:

• A First Course in Complex analysis with Applications by Dennis G. Zill and Patrick D. Shanahan. 
• Complex Analysis by Lars Ahlfors

Algebra Books:

• Contemporary Abstract Algebra by Joseph A. Gallian (An Overall study). 
• A Course in Abstract Algebra by Vijay K.Khanna and S.K. Bhambri (An Overall study). 
• Topics in Algebra by I. N. Herstein. (More on Rings,Fields,Galois Theory). 
• Elementary Number Theory by David M. Burton(For number theory part).

Reference Books:

• A First Course in Abstract Algebra by Jhon B. Fraleigh.
• Basic Abstract Algebra by P.B. Bhattacharya , S.K. Jain, S.R. Nagpaul

Topology Books

• Topology by James Munkres (Overall study).
• Schaum's outline of general topology by  Seymour Lipschutz(More Problems)

Reference Books:

• Introduction to Topology and Modern Analysis by G.F. Simmons
• Topology of metric spaces by S.Kumaresan

UNIT- III :  Have six topics ODE, PDE, Numerical Analysis,Calculus of Variations,Linear Integral Equations and Classical Mechanics.

Ordinary Differential Equation Books:

• Advanced Differential Equations by M.D.Raisinghania(An Overall study).
• ODE and PDE by M.D.Raisinghania(An Overall study).

Reference Books:

• Differential Equations with applications and historical notes by G.F.Simmons
• Schaum's outline of Differential Equations by Richard Bronson.

Partial Differential Equation Books:

ODE and PDE by M.D.Raisinghania(An Overall study).

Elements of Partial Differential Equations by Ian N. Sneddon (For more concepts).

Reference Books:

• Introduction to Partial Differential Equations K. Sankara Rao.

Numerical Analysis Books:

• Numerical methods for scientific and engineering computation M. K. Jain, S. R. K. Iyengar and R.K. Jain

Reference Book:

•  Introductory Methods of Numerical Analysis S S Sastry 

Linear Integral Equations Books:

• Integral equations and Boundary value problems M.D.Raisinghania (Overall study).
• Linear Integral Equations by Shanti Swarup (Overall study).

Reference Book:

• Methods of Applied Mathematics Francis B.Hildebrand.

Classical Mechanics Book:

• Classical Mechanics H.Goldstein

Calculus of Variations Book:

• Calculus of Variations with Applications A S Gupta.

GUIDE FOR PART B& PART C:

• UGC-CSIR NET Mathematical Science by Pawan Sharma.

NB:Books for **overall study covers almost all the topics in the syllabus and best among the books to crack NET.If you want to explore more on specific topics you can use the listed books.