IAS Mains Mathematics Reference Books PAPER - I Linear Algebra o o Linear Algebra - A.R. Vasistha | Krishna Series Matrices - A. R. Vasistha | Krishna Series Calculus o o Differential Calculus - A.R. Vasistha, & Dr. S.K Sharma Krishna Series Advanced Integral Calculus (by S K Jain) Analytic Geometry o o 3D Geometry - P.N. Chatterjee Solid Geometry -- Shanti Narayan (S. Chand) Ordinary Differential Equations o Ordinary and Partial Differential Equations - M.D. Raisinghania (S. Chand) [for both Paper I & II] Statics - Krishna Series Dynamics - Krishna Series Vector Analysis o o o Vector Calculus - A.R. Vasistha & J.N. Sharma Vector Calculus - Shanti Narayana Curves in Spaces - P.N. Chatterjee (Class Handout) PAPER - II Algebra o o o Modern Algebra - Vasistha (Krishna Series) A Course in Abstract Algebra - Khanna and Bhambri Modern Algebra - I. N. Herstein (John Wiley Publications) Real Analysis o Elements of Real Analysis - (S. Chand Series) Complex Analysis o o Functions of a Complex Variable - J.N. Sharma (Krishna Series) Complex Analysis - Schaum's Series Linear Programming o o Operations Research - Kanti Swarup, P. K. Gupta, ManMohan (S. Chand) Operations Research - S.D.Sharma Partial Differential Equations o o M.D. Raisinghania ( Refer Paper - I Same book) Ian Sneddon Numerical Analysis o A. R. Vasistha ( Krishna Series) o Introductory Methods of Numerical Analysis - Sastry | 4th Edition o Numerical Methods - V. RajaRaman Computer Programming - Class Handout o Fluid Dynamics - M.D. Raisinghania o 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 Recommended Mathematics Books For IAS/IFoS Examination Recommended Mathematics Books For IAS/IFoS Examination (For Paper I & Paper II) 1. Linear Algebra 7. Complex Analysis A.R.Vasista Schaum Series (3000 solved problems book) Schuam Series J.N. Sharma J.B. Convey 2. Calculus and Real Analysis 8. Linear Programming S.C Malik and Savita Arora Shanti Narayana Shanti Swarup 3. 3-D Geometry 9. Numerical Analysis Shanti Narayana Jain and Iyenger Shasthry 4. Ordinary Differential Equations 10. Computer Programming M.D. Raisinghania G.F. Simmons Ian Sneddon Raja Raman 11. Dynamics & Statics 5. Vector Analysis A.R. Vasista Schuam Series A.R. Vasista S.C. Gupta 12. Mechanics and Fluid Dynamics 6. Algebra Joseph A. Gallian S.K. Bhambri and Khanna M.D. Raisinghania H. Goldstein Maths Books for IAS Maths Paper-I 1. Linear Algebra - K.C. Prasad, K B Datta 2.Calculus - Santhi Narayan 3.Analytic Geometry - Shantinarayan, HC Sinha, DK Jha and Sharma 4.Ordinary Differential eqs:- MD Raising Lumina, Golden seris-NP Bali 5. Dynamics, Statitics and Hydrostatics - M.Ray 6. Vector analysis - Shantinarayan Maths Paper-II 1.Algebra - K C Prasad, KB Datta 2. Real Analysis - Shantinarayan,Royden 3. Complex Analysis - GK Ranganath 4. Linear Programming - SD sharma 5.Partial Diff.eqs. - Singhania 6. Numerical analysis and Computer Progg. - V. Rajaraman, SS Shasri 7. Mechanics & Fluid dynamics - AP Mathur, Azaroff leonid Other Books for Maths Modern Algebra - A. R. Vashisth Algebra - J. N. Sharma and S. N. Goyal Linear Algebra - Schaum Series (Lipshutz) or Sharma and Vashisth Matrices - Schaum Series (Frank Ayres) or Vashisth Calculus - I. A. Menon Coordinate Geometry - R. L. Soni Differential Calculus - Gorakh Prasad Analytical Solid Geometry - Shanti Narayanan Text Book of Coordinate Geometry - Rai Ballabh Mechanism - D. S. Mathur Statistical Mechanism - Carson Horg . Solid Mechanism - Kazmioo Mathematics Dictionary - James Differential Equations - Schaum Series (Frank Ayres) or N.M. Kapur or Raisinghania Numerical Analysis - S.S. Sastry Complex Analysis - Schaum Series or J.N. Sharma Operations Research - Kanti Swaroop or Manmohan