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Maths Books for IAS

We have compiled for you a list of IAS books for Mathematics to help you in your prepration for the IAS and other services under the UPSC. so it helps to know the best reference books for the ias exam.

Books on Mathematics as Optional subject for IAS Exam are as Follows :

  1. Linear Algebra
    A.R.Vasista
    Schaum Series (3000 solved problems book)
  2. Calculus and Real Analysis
    S.C Malik and Savita Arora Shanti Narayana
  3. 3-D Geometry
    P.N. Chatterjee
  4. Ordinary Differential Equations
    M.D. Raisinghania  
    Ian Sneddon
  5. Vector Analysis
    A.R. Vasista
    Schuam Series
  6. Algebra
    Joseph A. Gallian
    Shramik Sen Upadhayay
  7. Complex Analysis
    Schuam Series
    J.N. Sharma
    Ponnu Swami
  8. Linear Programming
    Shanti Swarup
    Kanti Swarup
  9. Numerical Analysis
    Jain and Iyenger
    K. Shankar Rao  Buy Now
    S.S. Shasthry
  10. Computer Programming
    Raja Raman  Buy Now
  11. Dynamics & Statics
    A.R. Vasista
    M. Ray
  12. Mechanics and Fluid Dynamics
    M.D. Raisinghania
    R.K. Gupta
    J.K. Goyal and K.P. Gupta
By: IMS (Institute of Mathematical Sciences).

Paper-I


  1. Linear Algebra - K.C. Prasad, K B Datta  Buy Now
  2. Calculus - Santhi Narayan Integral Calculus, Buy Now, Differential Calculus Buy Now, Vector Calculus Buy Now
  3. Analytic Geometry - Shantinarayan, HC Sinha, DK Jha and Sharma
  4. Ordinary Differential eqs:- MD Raising Lumina, Golden seris-NP Bali Buy Now
  5. Dynamics, Statitics and Hydrostatics - M.Ray Buy Now
  6. Vector analysis – Shantinarayan Buy Now

Paper-II


  1. Algebra - K C Prasad, KB Datta Buy Now
  2. Real Analysis - Shantinarayan Buy Now ,Royden Buy Now
  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 Important Books

  1. Modern Algebra - A. R. Vashisth  Buy Now
  2. Algebra - J. N. Sharma and S. N. Goyal
  3. Linear Algebra - Schaum Series (Lipshutz) or Sharma and Vashisth Buy Now
  4. Matrices - Schaum Series (Frank Ayres) or Vashisth Buy Now
  5. Calculus - I. A. Menon
  6. Coordinate Geometry - R. L. Soni
  7. Solid Mechanism - Kazmioo
  8. Mathematics Dictionary - James  Buy Now
  9. Differential Equations - Schaum Series (Frank Ayres) or N.M. Kapur or Raisinghania
  10. Numerical Analysis - S.S. Sastry  Buy Now
  11. Complex Analysis - Schaum Series or J.N. Sharma
  12. Operations Research - Kanti Swaroop or Manmohan
  13. Differential Calculus - Gorakh Prasad
  14. Analytical Solid Geometry - Shanti Narayanan
  15. Text Book of Coordinate Geometry - Rai Ballabh
  16. Mechanism - D. S. Mathur
  17. Statistical Mechanism - Carson Horg