Have you started your UPSC IAS exam preparation yet? Are you apprehensive about UPSC maths optional syllabus? Have you found the right resources that can give you the right materials to study for the IAS exam? Can’t decide which sources to believe when it’s coming about choosing the right kind of material? Well, calm down! We have got your back here.

Here in this article, you are going to get a complete list of UPSC maths optional books that too as per the UPSC maths optional syllabus. Read the article till the end to find important web links that will definitely help you prepare for the upcoming IAS exam.

UPSC Maths Optional Books List

Let’s take a look at the recommended UPSC maths optional books. Below is the list divided into Paper 1 and Paper 2 as per the UPSC maths optional syllabus and also divided topic-wise.

  • Linear Algebra – A.R.Vasishtha
  • Calculus and Real Analysis – S.C Malik and Savita Arora Shanti Narayana
  • 3-D Geometry – P.N. Chatterjee
  • Ordinary Differential Equations – M.D. Raisinghania, Ian Sneddon
  • Vector Analysis – A.R. Vasista
  • Algebra – Joseph A. Gallian, Shramik Sen Upadhayay
  • Complex Analysis, Schaum Series – J.N. Sharma, Ponnu Swami
  • Linear Programming – Shanti Swarup, Kanti Swarup
  • Numerical Analysis – Jain and Iyenger, K. Shankar Rao, S.S. Sastry
  • Computer Programming – Raja Raman
  • Dynamics & Statics – A.R. Vasista
  • Mechanics and Fluid Dynamics – M.D. Raisinghania, R.K. Gupta, J.K. Goyal and K.P. Gupta

Also Read: Check-out the Complete UPSC Mathematics Optional Syllabus

UPSC Maths Optional Syllabus

Let’s have a look at the UPSC maths optional syllabus before going through the booklist divided in Paper-I and Paper-II.


  • Linear Algebra
  • Calculus
  • Analytic Geometry
  • Ordinary Differential Equations
  • Dynamics & Statics
  • Vector Analysis


  • Algebra

  • Real Analysis

  • Complex Analysis

  • Linear Programming

  • Partial differential equations

  • Numerical Analysis and Computer programming

  • Mechanics and Fluid Dynamics

Books for Mathematics Paper-I

  • Linear Algebra – K.C. Prasad, K B Datta
  • Calculus – Shanti Narayan Integral Calculus
  • Differential Calculus
  • Vector Calculus
  • Analytic Geometry – Shanti Narayan, HC Sinha, DK Jha and Sharma
  • Ordinary Differential EQs:- MD Raising Lumina, Golden series-NP Bali
  • Dynamics, Statistics, and Hydrostatics – M.Ray
  • Vector analysis – Shanti Narayan

Also Read: Here’s Another List of Books for Mathematics

Books for UPSC Maths Optional Syllabus Paper-II

  • Algebra – K C Prasad, KB Datta
  • Real Analysis – Shanti Narayan, Royden
  • Complex Analysis – GK Ranganath
  • Linear Programming – SD Sharma
  • Partial Diff.eqs. – Singhania
  • Numerical analysis and Computer Prog. – V. Rajaraman, SS Shastri
  • Mechanics & Fluid dynamics – AP Mathur, Azaroff Leonid

Other Important Books for IAS Exam

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

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

Differential Calculus – Gorakh Prasad

Analytical Solid Geometry – Shanti Narayanan

Text Book of Coordinate Geometry – Rai Ballabh

Mechanism – D. S. Mathur

Statistical Mechanism – Carson Horg

Also Read: Here’s The Important UPSC Maths Optional Question Papers

Why Choose UPSC Maths Optional for UPSC IAS Exam?

There are certain factors that work in your favour if you take math as your optional subject for the IAS exam. Let’s look at the general advantages one can have by taking maths as his/ her optional subject.


Mathematics is one of the most scoring subjects in the school level, graduation or even the UPSC IAS exam. If one is prepared enough and has written the right answer, there is no scope of getting marks deducted in this subject.

Direct Questions

UPSC maths optional questions are direct type. Most of those are given from the textbooks. Anybody who is prepared well will find those questions to be easy to medium on the difficulty level.


UPSC maths optional syllabus is static. It is not related to current affairs or news thus does not need frequent updating. One just needs to finish the syllabus and prepare that very well.


Hopefully, this list of UPSC maths optional books will help you prepare better for the UPSC maths optional syllabus. For more informative posts on this and UPSC maths optional question papers and other UPSC IAS exam-related informative posts, keep an eye on this page. Do share your feedback by commenting in the below box.

Also Read : Power of an IAS Officer: What does an IAS Officer Do? Check-out Everything in Detail

UPSC Maths Optional Books: Expert Suggested Books for UPSC Maths Optional Syllabus
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UPSC Maths Optional Books: Expert Suggested Books for UPSC Maths Optional Syllabus
Are you all set for the upcoming UPSC IAS exam? Have you found the UPSC maths optional books that can boost your preparation to the next level? Click here to find the most suggested book list.
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