Important Books for Mathematics Optional for UPSC IAS Mains

Books for UPSC Maths optional/UPSC Maths optional books/UPSC Maths syllabus books

Mathematics is one of the most scoring optional in the UPSC IAS Mains examination. The aspirants from B. Sc Mathematics or B. Tech background can take Mathematics as the optional in this examination.  Learning Mathematics is always fun. Right strategy and thorough practice is the key to crack Mathematics optional.

BYJU’s has already given the Syllabus for Mathematics optional for UPSC IAS Exam. Here we are giving the complete book list for Mathematics optional subject. This will help your UPSC IAS Mains preparation.

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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