Best Maths Optional Booklist for UPSC IAS

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
   • 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 SERIES