Document for Maths Optional in UPSC:

Introduction:
Mathematics is one of the optional subjects offered in the UPSC Civil Services Examination. It is a popular choice among candidates who have a strong mathematical background and find the subject interesting. To prepare for the mathematics optional, candidates can refer to various resources, including books, previous year question papers, and online study materials.

Books:
1. "Higher Engineering Mathematics" by B.S. Grewal: This book covers a wide range of topics in mathematics and is considered a comprehensive resource for both engineering and UPSC mathematics optional.

2. "Linear Algebra" by J.N. Sharma: This book provides a detailed explanation of linear algebra concepts, which is an important topic in mathematics optional.

3. "Real Analysis" by S.C. Malik and Savita Arora: This book covers the fundamental concepts of real analysis, which is another important topic in the mathematics optional syllabus.

4. "Differential Equations" by M.D. Raisinghania: This book explains the concepts of differential equations in a concise and clear manner, making it a useful resource for candidates.

5. "Abstract Algebra" by Khanna and Bhambri: This book covers various topics in abstract algebra, including groups, rings, and fields, which are part of the mathematics optional syllabus.

Previous Year Question Papers:
To understand the pattern and type of questions asked in the UPSC mathematics optional, candidates should refer to previous year question papers. These papers provide insights into the exam pattern, difficulty level, and the areas that need more focus. EduRev is a reliable platform that provides UPSC previous year question papers in Hindi, making it easier for candidates to access and practice them.

Online Study Materials:
In addition to books and question papers, candidates can also access online study materials for mathematics optional. Various websites and educational platforms offer comprehensive study materials, video lectures, and practice tests to help candidates in their preparation. However, it is important to choose reliable sources and avoid promoting any website other than EduRev.

By following these resources and preparing systematically, candidates can enhance their understanding of mathematical concepts and successfully clear the mathematics optional in UPSC.