UPSC Maths Optional Books

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 )