IAS Mains Mathematics Reference Books

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 (by S K Jain)

• Analytic Geometry

• 3D Geometry - P.N. Chatterjee
• Solid Geometry -- Shanti Narayan (S. Chand)

• Ordinary Differential Equations 
  • Ordinary and Partial Differential Equations - M.D. Raisinghania (S. Chand) [for both Paper I & II]
     
• 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)

PAPER - II

• 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 - (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)
• Ian Sneddon

• Numerical Analysis
• A. R. Vasistha ( Krishna Series)
• Introductory Methods of Numerical Analysis - Sastry  |  4th Edition
• Numerical Methods - V. RajaRaman

• Computer Programming - Class Handout
  • Fluid Dynamics - M.D. Raisinghania
  • Mechanics - S. Chand Publications

MORE REFERENCES:

• Linear Algebra - Krishna Murthy and Mainra
• Linear Algebra - K.C. Prasad, K B Datta
• Calculus - Santhi Narayan
• Analytic Geometry - Shantinarayan, HC Sinha, DK Jha and Sharma
• Ordinary Differential Equations - Golden series-NP Bali
• Dynamics, Statitics and Hydrostatics - M.Ray
• Vector analysis - Shantinarayan
• Algebra - K C Prasad, KB Datta
• Real Analysis - Shantinarayan,  |  (3rd Edition)  |  (4th Edition)
• Complex Analysis - GK Ranganath
• Mechanics & Fluid dynamics - AP Mathur, Azaroff leonid

Courtesy: Analog IAS