📚 Books

Reference Books

The standard textbooks for the subjects in our CSIR NET, IIT JAM, TN SET and TN TRB notes.

Algebra

Abstract Algebra (Groups, Rings, Fields)

  1. J. A. Gallian, Contemporary Abstract Algebra
  2. I. N. Herstein, Topics in Algebra

Linear Algebra

  1. Friedberg, Insel & Spence, Linear Algebra
  2. Hoffman & Kunze, Linear Algebra

Theory of Equations

  1. Burnside & Panton, The Theory of Equations

Analysis

Real Analysis

  1. Bartle & Sherbert, Introduction to Real Analysis
  2. W. Rudin, Principles of Mathematical Analysis

Measure and Integration

  1. H. L. Royden, Real Analysis

Complex Analysis

  1. L. V. Ahlfors, Complex Analysis
  2. J. B. Conway, Functions of One Complex Variable
  3. Brown & Churchill, Complex Variables and Applications

Functional Analysis

  1. E. Kreyszig, Introductory Functional Analysis with Applications
  2. G. F. Simmons, Introduction to Topology and Modern Analysis
  3. M. Thamban Nair, Functional Analysis: A First Course

Topology

  1. J. R. Munkres, Topology
  2. G. F. Simmons, Introduction to Topology and Modern Analysis

Calculus and Geometry

Calculus and Several Variables

  1. T. M. Apostol, Calculus (Vols 1 & 2)
  2. Thomas & Finney, Calculus and Analytic Geometry

Vector Calculus

  1. M. R. Spiegel, Vector Analysis and an Introduction to Tensor Analysis (Schaum's Outline)

Analytical Geometry

  1. Shanti Narayan, Analytical Solid Geometry

Trigonometry

  1. S. L. Loney, Plane Trigonometry

Differential Geometry

  1. D. J. Struik, Lectures on Classical Differential Geometry
  2. T. J. Willmore, An Introduction to Differential Geometry

Differential Equations and Transforms

Ordinary Differential Equations

  1. G. F. Simmons, Differential Equations with Applications and Historical Notes
  2. E. A. Coddington, An Introduction to Ordinary Differential Equations

Partial Differential Equations

  1. I. N. Sneddon, Elements of Partial Differential Equations
  2. K. Sankara Rao, Introduction to Partial Differential Equations

Fourier Series and Transforms

  1. Brown & Churchill, Fourier Series and Boundary Value Problems

Laplace Transforms

  1. M. R. Spiegel, Laplace Transforms (Schaum's Outline)

Integral Equations

  1. R. P. Kanwal, Linear Integral Equations: Theory and Technique
  2. W. V. Lovitt, Linear Integral Equations

Calculus of Variations

  1. Gelfand & Fomin, Calculus of Variations
  2. L. Elsgolts, Differential Equations and the Calculus of Variations

Applied Mathematics

Numerical Analysis

  1. S. S. Sastry, Introductory Methods of Numerical Analysis
  2. K. E. Atkinson, An Introduction to Numerical Analysis
  3. Jain, Iyengar & Jain, Numerical Methods for Scientific and Engineering Computation

Classical Mechanics

  1. Goldstein, Poole & Safko, Classical Mechanics

Statics and Dynamics

  1. S. L. Loney, An Elementary Treatise on Statics
  2. S. L. Loney, An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies

Operations Research

  1. H. A. Taha, Operations Research: An Introduction
  2. Kanti Swarup, Gupta & Man Mohan, Operations Research

Discrete Mathematics

Combinatorics

  1. R. A. Brualdi, Introductory Combinatorics

Number Theory

  1. D. M. Burton, Elementary Number Theory
  2. Niven, Zuckerman & Montgomery, An Introduction to the Theory of Numbers

Probability and Statistics

Probability and Statistical Inference

  1. Rohatgi & Saleh, An Introduction to Probability and Statistics
  2. Hogg, McKean & Craig, Introduction to Mathematical Statistics

Stochastic Processes

  1. J. Medhi, Stochastic Processes
  2. S. M. Ross, Introduction to Probability Models

Linear Models and Multivariate Analysis

  1. T. W. Anderson, An Introduction to Multivariate Statistical Analysis

Sampling and Design of Experiments

  1. W. G. Cochran, Sampling Techniques
  2. D. C. Montgomery, Design and Analysis of Experiments

Reliability

  1. Barlow & Proschan, Statistical Theory of Reliability and Life Testing: Probability Models