IAS Math Reference Books

IAS Mains Mathematics Reference Books PAPER - I 

Linear Algebra o o

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Calculus o o

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Linear Algebra - A.R. Vasistha | Krishna Series Matrices - A. R. Vasistha | Krishna Series

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)

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

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Statics - Krishna Series Dynamics - Krishna Series

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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

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Real Analysis o

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Modern Algebra - Vasistha (Krishna Series) A Course in Abstract Algebra - Khanna and Bhambri Modern Algebra - I. N. Herstein (John Wiley Publications)

Elements of Real Analysis - (S. Chand Series)

Complex Analysis

o o 

Linear Programming o o

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Functions of a Complex Variable - J.N. Sharma (Krishna Series) Complex Analysis - Schaum's Series

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

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

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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  

A.R.Vasista Schaum Series (3000 solved problems book)

7. Complex Analysis   

Schuam Series J.N. Sharma J.B. Convey

2. Calculus and Real Analysis 8. Linear Programming  

S.C Malik and Savita Arora Shanti Narayana

3. 3-D Geometry 

Shanti Narayana



Shanti Swarup

9. Numerical Analysis  

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