Important & Toppers Recommended Books List for UPSC/IAS/IFoS(IFS)/CSECivil Service Exam of Mathematics/Maths Optional Books, IAS UPSC Mains Mathematics/Maths books
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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 – Dr. D.C. Agarwal ( Krishna Series)
 Analytic Geometry

 Solid Geometry – P.N. Chatterjee)
 Ordinary Differential Equations
Ordinary and Partial Differential Equations – M.D. Raisinghania (S. Chand)
 Dynamics & Statics– Krishna Series
 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
 Modern 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 – M.D. Raisinghania (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)
 Numerical Analysis & Computer Programming

 A. R. Vasistha ( Krishna Series)
 Introductory Methods of Numerical Analysis – Sastry
 Numerical Methods – V. RajaRaman
 Computer Programming – Class Handout
 Mechanics & Fluid Dynamics

 Fluid Dynamics – M.D. Raisinghania
 Mechanics – S. Chand Publications
Strategy for UPSC/IAS/IFoS(IFS)/CSECivil Service Exams
& Strategy for Mathematics/Maths Optional
What chapters should be covered in ODE & PDE for mathematics/Maths Optional of from MD Raisinghania book?
PartI (ELEMENTARY DIFFERENTIAL EQUATIONS)
For O.D.E (PaperI Section B)
 1. 1.10
 2. 2.45
 3. 3.12
 4. 4.39
 5. Complete
 6. Complete
 7. Complete
 8. Not in our syllabus. So, not required at all
 9. Not in our syllabus. So, not required at all
 10. 10.54
 11. Not in our syllabus. So, not required at all
For Laplace transformations is not covered in this book. So you can study from ADVANCED DIFFERENTIAL EQUATIONS BY SAME AUTHOR MD RAISINGANIA.
PartII (ADVANCED ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS)
Not in our syllabus. So, not required at all.
PartIII (PARTIAL DIFFERENTIAL EQUATIONS)
For P.D.E (PaperII Section B)
 1. Complete
 2. Complete
 3. Complete
 4. Complete
 5. Complete
 6. Complete
 7. Not in our syllabus. So, not required at all
 8. 8.36
 9. Not in our syllabus. So, not required at all
 10. Not in our syllabus. So, not required at all
For Boundary value problems you can study from the same author book. “ADVANCED DIFFERENTIAL EQUATIONS BY MD RAISINGANIA”.
Important Books List for IAS UPSC Mains, Prelims
Essential IAS Books For UPSC Prelims
Genearal StudiesHistory
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 StudiesGeography
Geography of India – Majid Husain. (Geography)
Oxford School Atlas – Oxford. (Geography)
Certificate Physical and Human Geography – Goh Cheng Leong. (Geography)
Genearal StudiesPolity
Indian Polity for Civil Services Examinations – M. Laxmikanth. (Polity)
Genearal StudiesEconomy
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 Paper2
Arithmatic/Quant: Ramanasri IAS/IFoS INSTITUTE Study material
Analytical Reasoning: Ramanasri IAS/IFoS INSTITUTE Study material
Verbal & NonVerbal 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 TopicWise Solved Papers – Disha.
IAS (Pre.) Solved Papers General Studies wih CSAT Papers – Arihant.
IAS Mains Civil Services Main Examination: General Studies Chapterwise 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.