IAS Maths Optional Booklist -Important Books For UPSC Maths Optional

Mathematics is one of the most scoring optional subjects in the UPSC IAS Mains examination. The aspirants from B. Sc Mathematics or B. Tech background can take Mathematics as optional in this examination. Learning Mathematics is always fun. The right strategy and thorough practice in IAS Maths optional can help aspirants crack IAS Exam.

BYJU’s has already given the IAS Maths Syllabus. Here we are giving the complete IAS Maths Optional book list. This will help your UPSC IAS Mains preparation.

Candidates are also advised to go through the following links to align their preparation:

UPSC Maths Optional Books Paper I & Paper II

Mathematics Paper I

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

You can also check other UPSC Optional Subjects for other IAS Exam.

Mathematics Paper II

  • Linear Programming & Theory of Games – SD Sharma
  • Algebra – K C Prasad, KB Datta
  • Mechanics & Fluid dynamics – Azaroff Leonid, AP Mathur
  • Complex Analysis – GK Ranganath
  • Real Analysis – H.L Royden
  • Ordinary & Partial Differential Equation – M.D. Raisinghania
  • Introductory Methods of Numerical Analysis – SS Sastry

Candidates preparing for UPSC 2021, may check the linked article.

Detailed Reference Books
  • Statistical Mechanism – Carson Horg
  • Problems in Calculus of One Variable – I. A. Maron
  • Coordinate Geometry – R. L. Soni
  • Mathematics Dictionary –  RC James
  • Differential Equations – Schaum Series (Frank Ayres)
  • Textbook of Coordinate Geometry – Rai Ballabh
  • Analytical Solid Geometry – Shanti Narayanan, PK Mittal
  • Text Book on Differential Calculus – Gorakh Prasad
  • Linear Algebra – Finite Dimension Vector Spaces – Sharma and Vashishta
  • Schaum’s Outline of Matrices – Frank Ayres
  • Matrices – A R Vashistha
  • Modern Algebra – A. R. Vashistha
  • Operations Research – Kanti Swarup, PK Gupta, Man Mohan
  • Algebra – J. N. Sharma and S. N. Goyal

IAS Maths Booklist PDF:- Download PDF Here

Check the links relevant for IAS Mains Preparation:


  1. Thanku so much ,, its helpful for those students who want to clear upseexam but due to financial prblm not able ,,theses posts r really helpful 4 those

  2. What should i to choose as an optional subject as I am graduated from mathematics but I forgot the things in mathematics

    1. Hi Swapan,

      Maybe this article will help you select the best optional subject for UPSC.

      Warm Regards

  3. Sir …i am from engineering background…..actually i prepared for jee but due to low rank ….i couldn’t took admission nd changed my background from science to arts streams……but still i have keen intrest in mathematics subject…..so please sir tell me that ……..i can choose mathematics as my optional paper inspite of arts background 🙏
    Right now i have only knowledge up to 12th level in mathematics

    1. You can choose mathematics but the level is quite advanced in UPSC. Usually, the optional subject syllabus is between BA(BSc) and MA(MSc) level.

  4. Sir, I am grauduate from engineering background . I choose optional subject mathematics, that’s why I need to proper guidance and how to prepare mathe-1, & mathe-2 , right strategy. Sir what time will be take to prepare optional maths? And what writer’s book are perfect. Pls sir help me

    1. Hi Ankita
      You can check the strategy of UPSC Mathematics Optional in the linked article.

  5. Chinthamekala Mohana Krishna

    Hello Sir / madam
    This is Mohan Krishna and I’m completed my MSc(maths) 2018 and I took csir net coaching in new DELHI but now I want prepare for civils so plz advice me
    And tell me first thing Am I eligible to prepare civils or not and one more thing my age is 25 now

    1. Yes, as per your age, you can sit for UPSC. Detailed UPSC eligibility criteria are mentioned in the linked article.
      1. Understand UPSC Syllabus
      2. Start with NCERTs and complement with daily newspaper.
      3. Refer to UPSC previous years’ question papers.
      4. Read Rajiv Ahir’s Brief of Modern History, M. Laxmikanth’s Indian Polity for GS 1 and 2 respectively.
      5. Revise often.
      6. Take mock tests periodically.

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