Recommended Books for UPSC Maths Optional Paper I & Paper II

Mathematics Paper I

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

For information on other UPSC Optional Subjects , you may visit the linked page.

Mathematics Paper II

• Linear Programming & Theory of Games – SD Sharma
• Algebra – K C Prasad, KB Datta
• Mechanics & Fluid dynamics – Azaroff Leonid, AP Mathur
• Complex Analysis – GK Ranganath
• Real Analysis – H.L Royden
• Ordinary & Partial Differential Equation – M.D. Raisinghania
• Introductory Methods of Numerical Analysis – SS Sastry

If you're preparing for the upcoming UPSC 2022 , do visit the linked article for more information.

Additional Reference Books

• Statistical Mechanism – Carson Horg
• Problems in Calculus of One Variable – I. A. Maron
• Coordinate Geometry – R. L. Soni
• Mathematics Dictionary –  RC James
• Differential Equations – Schaum Series (Frank Ayres)
• Textbook of Coordinate Geometry – Rai Ballabh
• Analytical Solid Geometry – Shanti Narayanan, PK Mittal
• Text Book on Differential Calculus – Gorakh Prasad
• Linear Algebra – Finite Dimension Vector Spaces – Sharma and Vashishta
• Schaum’s Outline of Matrices – Frank Ayres
• Matrices – A R Vashistha
• Modern Algebra – A. R. Vashistha
• Operations Research – Kanti Swarup, PK Gupta, Man Mohan
• Algebra – J. N. Sharma and S. N. Goyal

We hope this comprehensive list of books aids you in your IAS Maths preparation.

Here are a few more links that might be useful for your IAS Mains Preparation: