Important Books of Maths Optional Mains for IAS/IFoS(IFS)/UPSC/CSE-Civil Service Examinations

Important & Toppers Recommended Books List for UPSC/IAS/IFoS(IFS)/CSE-Civil Service Exam of Mathematics/Maths Optional Books, IAS UPSC Mains Mathematics/Maths books

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  1. Linear Algebra
    1. Linear Algebra –  A.R. Vasistha (Krishna Series)
    2. Matrices – A. R. Vasistha (Krishna Series)
  1. Calculus
    1. Differential Calculus­A.R. Vasistha, Dr. S.K Sharma (Krishna Series)
    2. Advanced Integral Calculus – Dr. D.C. Agarwal ( Krishna Series)
  1. Analytic Geometry
    1. Solid Geometry – P.N. Chatterjee)
  1. Ordinary Differential Equations

            Ordinary and Partial Differential Equations – M.D. Raisinghania (S. Chand)

  1. Dynamics & Statics Krishna Series
    1. Statics Krishna Series
    2. Dynamics Krishna Series
  2. Vector Analysis
    1. Vector Calculus – A.R. Vasistha & J.N. Sharma
    2. Vector Calculus – Shanti Narayana
    3. Curves in Spaces – P.N. Chatterjee (Class Handout)



  1. Modern Algebra
    1. Modern Algebra – Vasistha (Krishna Series)
    2. A course in Abstract Algebra – Khanna and Bhambri
    3. Modern Algebra – I. N. Herstein (John Wiley Publications)
  1. Real Analysis
    1. Elements of Real Analysis – M.D. Raisinghania (S. Chand Series)
  1. Complex Analysis
    1. Functions of a Complex Variable –J.N. Sharma (Krishna Series)
    2. Complex Analysis –Schaum’s Series
  1. Linear Programming
    1. Operations Research –Kanti Swarup, P. K. Gupta, ManMohan (S. Chand)
    2. Operations Research – S.D.Sharma
  1. Partial Differential Equations
    1. M.D. Raisinghania ( Refer Paper – I Same book)
  1. Numerical Analysis & Computer Programming
    1. A. R. Vasistha ( Krishna Series)
    2. Introductory Methods of Numerical Analysis – Sastry
    3. Numerical Methods – V. RajaRaman
    4. Computer Programming – Class Handout
  1. Mechanics & Fluid Dynamics
    1. Fluid Dynamics – M.D. Raisinghania
    2. Mechanics – S. Chand Publications

 What chapters should be covered in ODE & PDE for mathematics/Maths Optional of from MD Raisinghania book? 

 2013 Edition BOOK

Important Books List for IAS UPSC Mains, Prelims

Essential IAS Books For UPSC Prelims

Genearal Studies-History
History Of Modern India – Bipan Chandra. (History)
India’s Struggle For Independence – Bipan Chandra. (History)
India’s Ancient Past – R.S. Sharma. (History)
History Of Medieval India – Satish Chandra. (History)
The Wonder That Was India – A.L. Bhasham. (Culture)
Indian Art and Culture – Nitin Singhania. (Culture)

Genearal Studies-Geography
Geography of India – Majid Husain. (Geography)
Oxford School Atlas – Oxford. (Geography)
Certificate Physical and Human Geography – Goh Cheng Leong. (Geography)

Genearal Studies-Polity
Indian Polity for Civil Services Examinations – M. Laxmikanth. (Polity)

Genearal Studies-Economy
Indian Economy – Ramesh Singh. (Economy)
Economic Survey. (Economy)

Science and Technology:-

Science and Technology in India – TMH. (Science and Technology)

Environmental Studies:-
Environmental Studies: From Crisis to Cure – Rajagopalan. (Environment)
Environment for Civil Services Prelims and Mains – Khuller. (Environment)

Current Affairs:-
The Hindu/ Indian Express
India Year Book (Current Affairs)
Manorama Yearbook. (Current Affairs)

CSAT Paper-2
Arithmatic/Quant: Ramanasri IAS/IFoS INSTITUTE Study material
Analytical Reasoning: Ramanasri IAS/IFoS INSTITUTE Study material
Verbal & Non-Verbal Reasoning: Ramanasri IAS/IFoS INSTITUTE Study material

Contemporay Essays by Ramesh Singh OR 151 ESSAYS For UPSC Mains (Essay Paper)
India After Gandhi – Ramchandra Guha (History – GS1)
Norman Lowe OR History of Modern World – Jain and Mathur (World History – GS1)
Social Problems In India – Ram Ahuja. (Indian Society – GS1)
IAS Mains General Studies Paper 2 (Arihant Manual – GS2)
Governance in India for CSE. (Governance – GS2)
Pax Indica – Shashi Tharoor. (Foreign Policy – GS2)
India and the World by Surendra Kumar. (Foreign Policy – GS2)
IAS Mains General Studies – GS3. (Arihant Manual – GS3)
India’s National Security: A Reader. (Internal Security – GS3)
Challenges to Internal Security of India. (Internal Security – GS3)
Lexicon for Ethics, Integrity and Aptitude. ( Ethics – GS4)
IAS Mains General Studies – Ethics. ( Arihant Manual – GS4)
PS: Many books for UPSC Civil Service Main Exam overlap with books recommended for Prelims, except the mentioned additional books for topics like Foreign Relations, Internal Security, Ethics etc.

IAS Books for Optional Subjects and Additional Reference (Click on the links to buy online)
General Studies For Civil Services Preliminary Examination – TMH. (GS Problem Solving)
UPSC Civil Services Prelims in 60 days – Rakesh Dwivedi. (Revision)
IAS Prelims 22 Years General Studies Topic-Wise Solved Papers – Disha.
IAS (Pre.) Solved Papers General Studies wih CSAT Papers – Arihant.
IAS Mains Civil Services Main Examination: General Studies Chapter-wise Solved Papers.

IAS Books in Hindi Language

For many of the books listed above, corresponding books in Hindi language are available in the market. Hindi medium students may check the link UPSC Books in Hindi Language to buy online at discounted prices.