Can I opt for maths as an optional subject in UPSC?

Hi Saumy, Yes, you can opt for mathematics as an optional subject for UPSC civil services examination. Some of the popular books for the paper I are: Linear Algebra : Schaums outline on Linear Algebra: this book has explained linear algebra in a far better and simpler manner than Krishna Series. Due to its clarity, it can be read quickly also. Krishna Series on Matrices Calculus : Krishna Series on Differential calculus Krishna Series on Integral calculus Mathematical Analysis by Malik and Arora : a must read book for both Paper I and II Analytical Geometry : Krishna Series on Analytical Geometry : this book is better than Shantinarayan and has many solved examples Krishna Series on Analytical Solid Geometry : for Conicoids, Generating Lines Ordinary Differential Equations: Ordinary and Partial Differential Equations by MD Raisinghania Advanced Differential Equations by MD Raisinghania : required for Laplace Transforms (Paper-I) and Boundary value problems (Paper-II) Dynamics and Statics Krishna Series on Statics Krishna Series on Dynamics Vector Analysis Krishna Series on Vector Calculus (~ 330 pages) Schaums outline on Vector Analysis For Paper II: Abstract Algebra: This being my favourite topic, I had referred many books. But as many candidates find this topic tough, I would suggest referring to following books. Abstract Algebra, Group Theory by R Kumar (Vardhaman Publications) Abstract Algebra, Ring Theory by R Kumar (Vardhaman Publications) Abstract Algebra by Joseph Gallian (optional) Real Analysis: Mathematical Analysis by Malik and Arora Real Analysis by MD Raisinghania Complex Analysis: Krishna Series Linear Programming: Operations Research by JK Sharma or Kanti Swarup or Krishna Series Partial Differential Equations: ODE and PDE by MD Raisinghania Engineering Maths by Grewal : for boundary value problems Advanced Differential Equations by M.D Raisinghania (for boundary value problems) Numerical Analysis and Computer programming: Numerical Methods by Jain and Iyengar (but questions are not coming from this book from past few years) Numerical Analysis chapter from Grewal, Engineering Mathematics For Algorithms and flowcharts, I am having soft copy of a book which I will share. Mechanics and Fluid Dynamics: Fluid Dynamics by MD Raisinghania Krishna Series, Dynamics for Moment of Inertia and D Alemberts Principle Krishna Series, Rigid Dynamics for Lagrangian and Hamiltonian

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