In this post of Important Reference Books For UPSC CSE Mathematics Optional we endeavour to provide you with the list of best books for UPSC CSE Mathematics Optional.

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

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

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

• 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