Important Books for Mathematics Optional for UPSC IAS Mains

Books for Mathematics  Paper I & Paper II

Mathematics Paper I

  • Dynamics, Statics and Hydrostatics – M. Ray
  • Calculus – Shanti Narayan
  • Analytic Geometry – Shanti Narayan, DK Jha, HC Sinha and Sharma
  • Ordinary Differential equations:- Golden series-NP Bali, MD Raising Lumina
  • Vector analysis – Shantinarayan
  • Linear Algebra – K.C. Prasad, K B Datta

Mathematics Paper II

  • Linear Programming – SD Sharma
  • Algebra – K C Prasad, KB Datta
  • Mechanics & Fluid dynamics – Azaroff Leonid, AP Mathur
  • Complex Analysis – GK Ranganath
  • Real Analysis – Shanti Narayan, Royden
  • Partial Diff.eqs. – Singhania
  • Numerical analysis and Computer Progg. – SS Shastri, V. Rajaraman
Detailed reference books
  • Statistical Mechanism – Carson Horg
  • Calculus – I. A. Menon
  • Coordinate Geometry – R. L. Soni
  • Mathematics Dictionary – James
  • Differential Equations – Schaum Series (Frank Ayres)
  • Mechanism – D. S. Mathur
  • Numerical Analysis – S.S. Sastry
  • Textbook of Coordinate Geometry – Rai Ballabh
  • Analytical Solid Geometry – Shanti Narayanan
  • Complex Analysis – Schaum Series
  • Differential Calculus – Gorakh Prasad
  • Linear Algebra – Schaum Series (Lipshutz) or Sharma and Vashishta
  • Matrices – Schaum Series (Frank Ayres) or Vashisth
  • Mechanism – D. S. Mathur
  • Modern Algebra – A. R. Vashisth
  • Operations Research – Kanti Swarup
  • Solid Mechanism – Kazmi
  • Algebra – J. N. Sharma and S. N. Goyal

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