{"id":1816,"date":"2025-08-01T22:17:39","date_gmt":"2025-08-01T16:47:39","guid":{"rendered":"https:\/\/vajiramandravi.com\/upsc-exam\/?p=1816"},"modified":"2025-08-07T13:04:50","modified_gmt":"2025-08-07T07:34:50","slug":"maths-optional-books","status":"publish","type":"post","link":"https:\/\/vajiramandravi.com\/upsc-exam\/maths-optional-books\/","title":{"rendered":"Maths Books for UPSC Optional Paper 1 and 2"},"content":{"rendered":"

UPSC Maths Optional Books -<\/strong> Mathematics is an optional subject that candidates can choose for the UPSC Civil Services Mains exam. It is a subject that requires a strong mathematical aptitude and a genuine passion for the subject. Mathematics covers a wide range of topics, such as linear algebra, calculus, differential equations, analytical geometry, vector analysis, dynamics and statics, etc.<\/p>\r\n

The syllabus for mathematics is divided into two papers, each carrying 250 marks. The questions asked in the mathematics papers are generally direct, and candidates can score high marks if they solve the problems correctly and with accuracy. Here is a list of the best Maths Optional Books for the UPSC Mains Examination.<\/p>\r\n

UPSC Maths Optional Books for Paper I<\/h2>\r\n

Math Optional paper 1<\/strong> for UPSC consists of 250 marks and covers topics such as linear algebra, calculus, analytic geometry, ordinary differential equations, vector analysis, dynamics and statics. The paper tests the candidates\u2019 knowledge of the concepts, theorems, and methods of mathematics, as well as their ability to solve problems and apply mathematics to real-world situations. The paper is divided into two sections, A and B, each containing five questions<\/strong>. Candidates have to answer any three questions from each section. Here is a list of best-recommended books for Maths Optional Paper I for UPSC Mains<\/a>:<\/p>\r\n

1) LINEAR ALGEBRA
\r\na) SCHAUM SERIES - Seymour Lipschutz
\r\nb) LINEAR ALGEBRA - Hoffman and Kunze<\/p>\r\n

2) CALCULUS
\r\na) MATHEMATICAL ANALYSIS - S C Malik and Savita Arora
\r\nb) ELEMENTS OF REAL ANALYSIS - Shanti Narayan and M D Raisinghania<\/p>\r\n

3) ANALYTIC GEOMETRY
\r\na) ANALYTICAL SOLID GEOMETRY - Shanti Narayan and P K Mittal
\r\nb) SOLID GEOMETRY - P N Chatterjee<\/p>\r\n

4) ORDINARY DIFFERENTIAL EQUATIONS (ODE)
\r\nORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS - M D Raisinghania<\/p>\r\n

5) DYNAMICS AND STATICS
\r\nKRISHNA SERIES<\/p>\r\n

6) VECTOR ANALYSIS
\r\nSCHAUM SERIES - Murray R. Spiegel<\/p>\r\n

Maths Books for Optional Paper II<\/h2>\r\n

Maths optional paper II consists of 250 marks and covers topics such as modern algebra, real analysis, complex analysis, linear programming, partial differential equations, numerical analysis, computer programming, and mechanics and fluid dynamics. The paper tests the candidates\u2019 ability to understand and apply advanced mathematical concepts and techniques, as well as their problem-solving and programming skills. Here is a list of best-recommended books for UPSC Maths Optional Paper II:<\/p>\r\n

1) ALGEBRA
\r\nCONTEMPORARY ABSTRACT ALGEBRA - Joseph Gallian<\/p>\r\n

2) REAL ANALYSIS
\r\nSAME AS CALCULUS OF PAPER 1<\/p>\r\n

3) COMPLEX ANALYSIS
\r\na) SCHAUM SERIES - Speigel, Lipschitz, Schiller, Spellman<\/p>\r\n

4) LINEAR PROGRAMMING
\r\nLINEAR PROGRAMMING AND GAME THEORY - Lakshmishree Bandopadhyay<\/p>\r\n

5) PARTIAL DIFFERENTIAL EQUATIONS
\r\na) SAME AS ODE OF PAPER 1
\r\nb) ADVANCED DIFFERENTIAL EQUATIONS - M D Raisinghania<\/p>\r\n

6) NUMERICAL ANALYSIS AND COMPUTER PROGRAMMING
\r\nFOR NUMERICAL ANALYSIS<\/p>\r\n

a) COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES - M.Goyal
\r\nb) NUMERICAL METHODS - Jain, Iyengar and Jain<\/p>\r\n

FOR COMPUTER PROGRAMMING\u00a0DIGITAL LOGIC AND COMPUTER DESIGN \u00a0- M. Morris Mano<\/p>\r\n

7) MECHANICS AND FLUID DYNAMICS\u00a0- KRISHNA SERIES<\/p>\r\n

How to prepare with UPSC Maths Optional Books?<\/h2>\r\n

Joining the right coaching for guidance and using the best Maths Books for your preparation can help you decrease your effort and increase your productivity towards clearing the UPSC Maths Optional Exam. Here is how you can use Maths Optional Books for your Main Examination preparation:<\/p>\r\n