UPSC Maths Optional Books: Best Maths Books for UPSC
By Balaji
Updated on: March 23rd, 2023
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 Maths Books for UPSC 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 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

1. Maths Books for UPSC

2. UPSC Maths Optional Books Paper 1

3. Maths Books for UPSC Paper 2

4. Best Maths Books for UPSC With Description

5. UPSC Maths Optional Books PDF

6. Additional UPSC Maths Optional Books

7. Strategy to Prepare with UPSC Maths Optional Books
Maths Books for UPSC
Candidates appearing for the Civil Service Exam will find basic Mathematics in the CSAT Syllabus. However, the Maths in the optional paper is of an advanced level. Maths optional can be highscoring if a candidate is wellprepared, and to prepare for that candidates would need the best Maths Books for UPSC. In CSAT the Maths questions are objective type but in the optional paper, there will be descriptive problems that can only be solved with the help of the best UPSC Maths Optional Books. Below we have provided the complete list of UPSC Maths Optional Books for both Paper 1 and 2 that would help you score big in UPSC Mains Exam.
UPSC Maths Optional Books Paper 1
UPSC Maths Syllabus for Paper1 is advanced, and you would need the best Maths Books that will help you prepare for this section. Some of the topics covered in Paper1 are Linear Algebra, Analytic Geometry, Calculus, Vector Analysis, Dynamics & Statics, etc., and the best books that would help you cover this section are:
Best Maths Optional Books For UPSC ( Paper 1)  
Maths Optional PaperI Topics  Book Name  Author/Publication 
Ordinary Differential Equations  Ordinary and Partial Differential Equations  M D Raisinghania 
Dynamics and Statics  A Textbook On Dynamics  S. Chand 
Vector Analysis  Schaum’s Outline of Vector Analysis  Spiegel & Lipschutz 
Linear Algebra  Schaum’s Outline of Linear Algebra  Lipson and Lipschutz 
Calculus  Mathematical Analysis  SC Malik and Savita Arora 
Analytic Geometry  Analytical Solid Geometry  Shanti Narayan, PK Mittal 
Maths Books for UPSC Paper 2
Paper2 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.
Best Maths Optional Books For UPSC ( Paper 2)  
Maths Optional PaperII Topics  Book Name  Author/Publication 
Partial Differential Equations  Advanced Differential Equations  M.D. Raisinghania 
Algebra  Schaum’s Outline of Linear Algebra  Lipschutz & Lipson 
Numerical Analysis & Computer Programming  Introductory Methods of Numerical Analysis  SS Sastry 
Mechanics & Fluid dynamics  Fluid Dynamics  M.D. Raisinghania 
Real Analysis  Real Analysis  Halsey Royden 
Complex Analysis  Complex Variable (Schaum’s Outlines)  Spiegel, Schiller, Spellman and Lipschutz 
Linear Programming  Topics in Linear Programming & Game Theory  Lakshmi Shree Bandopadhyay 
Best Maths Books for UPSC With Description
As you can see, there are so many options when it comes to choosing UPSC Maths Optional Books. Due to this candidates feel overwhelmed. However, if you have the information about the books then it gets easier to choose the best Maths Books for UPSC. That’s why below we will be covering some of the book descriptions so that you can make your selection easily.
 Schaum’s Outline of Linear Algebra: Lipschutz & Lipson It includes updated chapters on linear algebra with computer science and quantitative analysis as well as new challenges.
 Schaum’s Outline of Linear Algebra: Lipson and Lipschutz – In this UPSC Maths book, linear equations are covered in updated chapters and problems with applications in computer science, engineering, mathematics, physics, and quantitative analysis.
 Differential Calculus: Shanti Narayan, PK Mittal – It is one of the best UPSC Maths Optional Books for practicing calculus problems. It includes question sheets for practice and chapterbychapter exercises on various calculus subjects.
 A Textbook On Dynamics: S. Chand– Indepth highlights on motion types, Kepler’s laws, work, and equilibrium are covered in this text along with examples that have been solved for each chapter in this Maths book for UPSC.
 Advanced Differential Equations: M.D. Raisinghania Both ordinary and partial differential equations are covered, along with a description of each method and its solutions.
 Real Analysis: Halsey Royden– This Maths optional book cover more crucial and basic concepts in general topology and normed linear space theory, and emphasizes the theory of realvalued functions
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.
Additional UPSC Maths Optional Books
Apart from the Maths Books for UPSC 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
Strategy to Prepare with 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. To build a solid foundation you can follow UPSC NCERT Books as well.
 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.