Maths Optional Booklist for UPSC Mains

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