Best Study Materials for Mathematical Modeling Section of UPSC Mathematics Optional Exam:

1. Textbooks:
- Mathematical Modeling by Mark M. Meerschaert: This textbook provides a comprehensive introduction to mathematical modeling and covers various topics such as discrete and continuous models, optimization, and simulation.
- Mathematical Modeling: Applications with GeoGebra by Jonas Hall and Tomas Lingvall: This book focuses on using the software GeoGebra to solve mathematical modeling problems. It includes practical examples and exercises to enhance understanding.
- Mathematical Modeling: A Chemical Engineer's Perspective by Robert G. Rice: This book specifically caters to the needs of chemical engineering students and provides a detailed understanding of mathematical modeling techniques used in this field.

2. Previous Year Question Papers:
- Solving previous year question papers will help you understand the exam pattern, type of questions asked, and the level of difficulty. It is recommended to solve papers from at least the last 5-10 years to get a thorough understanding of the mathematical modeling section.

3. Online Resources:
- EduRev: EduRev is an excellent online platform that offers a wide range of study materials, including notes, video lectures, and practice questions for the mathematical modeling section. It is a comprehensive resource that covers all the important concepts and topics required for the UPSC Mathematics Optional exam.
- Official UPSC Website: The official website of UPSC provides valuable information about the exam syllabus, previous year question papers, and recommended study materials. It is important to refer to the official sources to ensure you are studying the right material.

4. Coaching Institutes:
- Joining a reputed coaching institute for Mathematics Optional can be beneficial as they provide expert guidance, study materials, and regular mock tests. Some well-known coaching institutes for UPSC Mathematics Optional include Vajiram and Ravi, Sriram's IAS, and Chanakya IAS Academy.

5. Self-Study:
- Apart from the above-mentioned study materials, self-study plays a crucial role in preparing for the mathematical modeling section. It is important to regularly practice solving mathematical modeling problems, develop problem-solving skills, and revise the concepts thoroughly.

Remember to create a study plan, allocate dedicated study hours, and stay consistent in your preparation. Regular revision and practice will help you master the mathematical modeling section and score well in the UPSC Mathematics Optional exam.