UPSC Maths Optional Books: Best Books for Mathematics Optional UPSC

By Shubhra Anand Jain|Updated : December 28th, 2022

UPSC Maths Optional Books are a crucial part of the UPSC Mains preparation for the candidates who have opted for Maths optional. Maths is a scoring subject as there is an absolute answer to each question. For a subject like Mathematics, candidates must have to dedicate their time to practice with the help of the best UPSC Maths Optional Books. The more you practice the easier it will be for you to ace the Maths optional. Candidates from B. Tech and B.Sc Mathematics mostly choose this as their optional subject. And those who are beginners must choose the best UPSC Maths Optional Books for their preparation.

As there are tons of UUPSC Maths Optional Books available in the market, choosing the right one can be confusing for the candidates. That is why to make this process easier we have compiled a list of highly recommended Maths books for UPSC that would surely enhance your preparation, and help you have a solid grasp of mathematics. 

Table of Content

UPSC Maths Optional Books Paper 1

UPSC Maths Syllabus for Paper-1 is advanced, and you would need the best UPSC Maths Optional Books that will help you prepare for this section. Some of the topics covered in Paper-1 are Linear Algebra, Analytic Geometry, Calculus, Vector Analysis, Dynamics & Statics, etc., and the best Maths books that would help you cover this section are mentioned below. 

  • Dynamics, Statics and Hydrostatics – M. Ray
  • Differential Calculus – Shanti Narayan, PK Mittal
  • Linear Algebra – K.C. Prasad, K B Datta
  • Differential equations:- Golden series – NP Bali
  • Vector Analysis – Shanti Narayan, PK Mittal
  • Analytic Geometry – Shanti Narayan, DK Jha, HC Sinha, and Sharma

UPSC Maths Optional Books Paper 2

Paper-2 contains a wide range of topics like Algebra, Real Analysis, Linear Programming, Partial Differential Equations, Mechanics, and Fluid Dynamics. The UPSC Maths Optional Books that cover these topics comprehensively are given below.

Mathematics Optional UPSC Books for Paper 2

☛Statistical Mechanism – Carson Horg

☛Schaum’s Outline of Matrices – Frank Ayres

☛Matrices – A R Vashistha

☛Coordinate Geometry – R. L. Soni

☛Mathematics Dictionary – RC James

☛Textbook of Coordinate Geometry – Rai Ballabh

☛Analytical Solid Geometry – Shanti Narayanan, PK Mittal

☛Modern Algebra – A. R. Vashistha

Additional UPSC Maths Optional Books

Apart from the Mathematics optional UPSC books we have mentioned above, there are some reference books that you can add as well. But make sure you don’t pick multiple books at a time just to cover one topic. Here is a list of Maths reference books.

  • Statistical Mechanism – Carson Horg
  • Analytical Solid Geometry – Shanti Narayanan, PK Mittal
  • Text Book on Differential Calculus – Gorakh Prasad
  • Operations Research – Kanti Swarup, PK Gupta, Man Mohan
  • Algebra – J. N. Sharma and S. N. Goya
  • Mathematics Dictionary – RC James
  • Linear Algebra – Finite Dimension Vector Spaces – Sharma and Vashishta
  • Schaum’s Outline of Matrices – Frank Ayres

UPSC Maths Optional Books PDF

As you can see above, there is a big list of recommended Maths books for UPSC. To remember these book names you can either visit this page again and again, or you can simply take a printout of the Maths optional upsc books.This list would help you to keep track of all the Maths books you need for UPSC preparation. 

UPSC Maths Optional Books PDF

Strategy to Cover UPSC Maths Optional Books

Mathematics can be a scoring subject if it is prepared in the right way, and with the right strategy. That’s why we have pointed out some key tips that would help you to cover the Maths optional UPSC books in a more efficient manner, and hence help you to make the most out of your preparation time. You can apply this strategy to other UPSC Books as well. 

  • Choose UPSC Maths Optional Books per your comfort, and level of understanding. Don't get carried away with the recommendations of other candidates.
  • Make sure you grasp the basic concepts and terms such as Linear Algebra, Calculus, Analytic Geometry, and many more. Choose books that would help you to clear the basic concepts first. You can’t score well unless you have a complete understanding of the basic concepts.
  • Choose one topic at a time, and one book to cover that particular topic. Choosing multiple books for one topic won’t help you at all.
  • At last, make notes of important theorems, and formulas while reading from a book.
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FAQs

  • The optional subject carries a total of 500 marks in the UPSC Mains exam, and that is why it is important to choose the right Maths books for UPSC and strengthen the preparation to increase your chances of acing the Mains exam. Here is the Maths Optional book list that you shouldn’t miss.

    • Dynamics, Statics and Hydrostatics – M. Ray
    • Differential Calculus – Shanti Narayan, PK Mittal
    • Linear Programming & Theory of Games – SD Sharma
  • To cover the Maths books for UPSC in the best possible way, you must start with having a clear understanding of the Maths Syllabus for UPSC. After that choose a book to cover one particular topic. Make short notes of the points you find important from the UPSC exam point of view that will help you during the revision period. 

  • The best UPSC Maths Optional Books for Algebra are Algebra by SCHAUM SERIES - Seymour Lipschutz and LINEAR ALGEBRA - Hoffman and Kunze. Both are very good books for Algebra. To prepare for the Algebra topics, you can go through these preparation books as they will help you to understand the other important topics covered in the Maths syllabus as well. 

  • Candidates can download the list of important UPSC Maths Optional Books from Here and kickstart their preparation..

  • The best UPSC Maths Optional Books for Paper- 1 are:

    • Dynamics, Statics and Hydrostatics – M. Ray
    • Differential Calculus – Shanti Narayan, PK Mittal
    • Linear Algebra – K.C. Prasad, K B Datta
  • The best mathematics optional UPSC books to cover the Paper-2 of Maths optional syllabus are:

    • Statistical Mechanism – Carson Horg
    • Schaum’s Outline of Matrices – Frank Ayres
    • Matrices – A R Vashistha
    • Coordinate Geometry – R. L. Soni

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