Hear we (Ramanasri Institute) are giving complete list of UPSC Maths Optional Books. Mostly these books are very Important and also most of the Toppers Recommended Books for UPSC Maths Optional Books or List of UPSC/IAS/IFoS(IFS)/CSECivil Service Exam of Mathematics/Maths Optional Books, IAS UPSC Mains Mathematics/Maths books
UPSC Maths Optional Books for UPSC Maths Optional PAPER – I
 Linear Algebra

 Linear Algebra – A.R. Vasistha (Krishna Series)
 Matrices – A. R. Vasistha (Krishna Series)
 Calculus

 Differential Calculus– A.R. Vasistha, Dr. S.K Sharma (Krishna Series)
 Advanced Integral Calculus – Dr. D.C. Agarwal ( Krishna Series)
 Analytic Geometry

 Solid Geometry – P.N. Chatterjee)
 Ordinary Differential Equations
Ordinary and Partial Differential Equations – M.D. Raisinghania (S. Chand)
 Dynamics & Statics– Krishna Series
 Statics– Krishna Series
 Dynamics– Krishna Series
 Vector Analysis

 Vector Calculus – A.R. Vasistha & J.N. Sharma
 Vector Calculus – Shanti Narayana
 Curves in Spaces – P.N. Chatterjee (Class Handout)
UPSC Maths Optional Books for UPSC Maths Optional PAPER – II
 Modern Algebra

 Modern Algebra – Vasistha (Krishna Series)
 A course in Abstract Algebra – Khanna and Bhambri
 Modern Algebra – I. N. Herstein (John Wiley Publications)
 Real Analysis

 Elements of Real Analysis – M.D. Raisinghania (S. Chand Series)
 Complex Analysis

 Functions of a Complex Variable –J.N. Sharma (Krishna Series)
 Complex Analysis –Schaum’s Series
 Linear Programming

 Operations Research –Kanti Swarup, P. K. Gupta, ManMohan (S. Chand)
 Operations Research – S.D.Sharma
 Partial Differential Equations

 M.D. Raisinghania ( Refer Paper – I Same book)
 Numerical Analysis & Computer Programming

 A. R. Vasistha ( Krishna Series)
 Introductory Methods of Numerical Analysis – Sastry
 Numerical Methods – V. RajaRaman
 Computer Programming – Class Handout
 Mechanics & Fluid Dynamics

 Fluid Dynamics – M.D. Raisinghania
 Mechanics – S. Chand Publications
Click on this link for IAS Mathematics Study Materials
Click on this link for IAS Mains Mathematics Optional Previous Years (Past) Papers PDF free Download