UPSC Maths Optional Books

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

Maths Paper 1

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

Maths Paper 2

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