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 topicwise.
 Linear Algebra – A.R.Vasishtha
 Calculus and Real Analysis – S.C Malik and Savita Arora Shanti Narayana
 3D 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: Checkout 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 PaperI and PaperII.
PAPER – I
 Linear Algebra
 Calculus
 Analytic Geometry
 Ordinary Differential Equations
 Dynamics & Statics
 Vector Analysis
PAPERII

Algebra

Real Analysis

Complex Analysis

Linear Programming

Partial differential equations

Numerical Analysis and Computer programming

Mechanics and Fluid Dynamics
Books for Mathematics PaperI
 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 seriesNP 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 PaperII
 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.
Scoring
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.
Static
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.
Conclusion
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 examrelated informative posts, keep an eye on this page. Do share your feedback by commenting in the below box.
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