Best Maths Optional Booklist for UPSC IAS

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 ( Amazon Link )
   • LINEAR ALGEBRA - Hoffman and Kunze ( Amazon Link )
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 ( Amazon Link )
4. ORDINARY DIFFERENTIAL EQUATIONS (ODE)
   • ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS - M D Raisinghania ( Amazon Link )
5. DYNAMICS AND STATICS
   • KRISHNA SERIES ( Amazon Link )
6. VECTOR ANALYSIS
   • SCHAUM SERIES - Murray R. Spiegel ( Amazon Link )

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
   • SAME AS ODE OF PAPER 1 ( Amazon Link )
   • ADVANCED DIFFERENTIAL EQUATIONS - M D Raisinghania ( Amazon Link )
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
   • KRISHNA SERIES ( Amazon Link )