UPSC Books for Maths Optional Booklist for UPSC Mains

Books for Maths Optional: All UPSC aspirants must make a key decision when choosing an optional topic for the UPSC Mains. Choosing a subject in which you have some academic background and a genuine interest is a decent rule of thumb. Other factors to consider when choosing an Optional Topic are the subject’s previous UPSC performance, the time required to prepare for the subject, the subject’s contribution to the General Studies syllabus, and the tutoring available in the subject.

Out of all the optional syllabi for the IAS mains exam, it has the shortest syllabus. In two months, the entire course can be completed. In addition, the syllabus is well-defined and concise. The arithmetic curriculum is virtually totally stagnant.

Books for Mathematics Paper I

  1. Linear Algebra – K.C. Prasad, K B Datta
  2. Calculus – Shanti Narayan Integral Calculus
  3. Differential Calculus
  4. Vector Calculus
  5. Analytic Geometry – Shanti Narayan, HC Sinha, DK Jha and Sharma
  6. Ordinary Differential EQs:- MD Raising Lumina, Golden series-NP Bali
  7. Dynamics, Statistics, and Hydrostatics – M.Ray
  8. Vector analysis – Shanti Narayan

Books for UPSC Maths Optional Syllabus Paper II

  1. Algebra – K C Prasad, KB Datta
  2. Real Analysis – Shanti Narayan, Royden
  3. Complex Analysis – GK Ranganath
  4. Linear Programming – SD Sharma
  5. Partial Diff.eqs. – Singhania
  6. Numerical analysis and Computer Prog. – V. Rajaraman, SS Shastri
  7. Mechanics & Fluid dynamics – AP Mathur, Azaroff Leonid