UPSC Maths Optional Books: Best Maths Optional Booklist for UPSC Exam

By Shubhra Anand Jain|Updated : April 6th, 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 Maths Books for UPSC Mains preparation.

As there are tons of UPSC 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 for 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

Maths Books for UPSC Optional Paper-2 

Paper-2 contains a wide range of topics like Algebra, Real Analysis, Linear Programming, Partial Differential Equations, Mechanics, and Fluid Dynamics. The Maths books for UPSC that would give your crisp information about these topics are given below.

  • 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
  • Differential Equations – Schaum Series (Frank Ayres)
  • Operations Research – Kanti Swarup, PK Gupta, Man Mohan
  • Algebra – J. N. Sharma and S. N. Goyal
  • Problems in Calculus of One Variable – I. A. Maron
  • Text Book on Differential Calculus – Gorakh Prasad
  • Linear Algebra – Finite Dimension Vector Spaces – Sharma and Vashishta

Other Important Maths Books for UPSC

Apart from the Maths 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
  • Problems in Calculus of One Variable – I. A. Maron
  • Coordinate Geometry – R. L. Soni
  • Matrices – A R Vashistha
  • Modern Algebra – A. R. Vashistha
  • Differential Equations – Schaum Series (Frank Ayres)
  • Textbook of Coordinate Geometry – Rai Ballabh

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 book list. This list would help you to keep track of all the Maths books you need for UPSC preparation. 

>>UPSC Maths Optional Books PDF Free Download

Preparation Strategy to Cover Maths Books for UPSC

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 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 Maths books for UPSC as 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
    • Algebra – K C Prasad, KB Datta
    • Mechanics & Fluid dynamics – Azaroff Leonid, AP Mathur
    • Complex Analysis – GK Ranganath
  • Candidates will have to deal with Maths only in the CSAT exam which is the General Studies-II in the Prelims round. For this round candidates can some basic UPSC Maths books like Analytical Reasoning- M K Pandey, and NCERT Maths books for standards 11 and 12.

  • 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 books 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. 

  • We have given a direct link for UPSC Maths Optional Books PDF Free Download. Candidates can download the list of important Maths books for UPSC and kickstart their preparation.

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