UPSC Maths Optional Books

Recommended Books for Maths Optional in UPSC

The recommended books for Maths Optional Paper 1 and Paper 2 respectively for each module are as follows :

Maths Paper 1

  1. LINEAR ALGEBRA
  2. CALCULUS
    • MATHEMATICAL ANALYSIS - S C Malik and Savita Arora ( Amazon Link )
    • ELEMENTS OF REAL ANALYSIS - Shanti Narayan and M D Raisinghania ( Amazon Link )
  3. ANALYTIC GEOMETRY
    • ANALYTICAL SOLID GEOMETRY - Shanti Narayan and P K Mittal ( Amazon Link )
    • SOLID GEOMETRY - P N Chatterjee
  4. ORDINARY DIFFERENTIAL EQUATIONS (ODE)
    • ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS - M D Raisinghania ( Amazon Link )
  5. DYNAMICS AND STATICS
  6. VECTOR ANALYSIS

Maths Paper 2

  1. ALGEBRA - CONTEMPORARY ABSTRACT ALGEBRA - Joseph Gallian ( Amazon Link )
  2. REAL ANALYSIS - SAME AS CALCULUS OF PAPER 1 ( Amazon Link )
  3. COMPLEX ANALYSIS
    • SCHAUM SERIES - Speigel, Lipschitz, Schiller, Spellman ( Amazon Link )
  4. LINEAR PROGRAMMING
    • LINEAR PROGRAMMING AND GAME THEORY - Lakshmishree Bandopadhyay ( Amazon Link )
  5. PARTIAL DIFFERENTIAL EQUATIONS
  6. NUMERICAL ANALYSIS AND COMPUTER PROGRAMMING
    • For Numerical Analysis
      • COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES - M.Goyal ( Amazon Link )
      • NUMERICAL METHODS - Jain, Iyengar and Jain ( Amazon Link )
    • FOR COMPUTER PROGRAMMING
      • DIGITAL LOGIC AND COMPUTER DESIGN - M. Morris Mano ( Amazon Link )
  7. MECHANICS AND FLUID DYNAMICS