IKS VI: Indian Mathematics
- 10 Hours
-
1 Credit
*(T&C Apply) Credits applicable only for Undergraduate and Postgraduate students enrolling for SIKSHA courses through academic institutions based in India.
- UG
- Upcoming Courses
- Faculty
₹2,500.00(GST additional)
About The Course
This curriculum provides a general knowledge about Indian Mathematics that had developed naturally in India for practical purposes, right from Vedic age.
Syllabus
- Unit 1. Introduction to Indian Mathematics
- ● 1.1 Importance of Indian Mathematics
- ● 1.2 Contents of some important texts in Indian mathematics
- ● 1.3 Place value system and Zero.
- Unit 2. Eight Operations on Numbers
- ● 2.1. Three Saṅkhyā systems in Sanskrit.
- ● 2.2. Eight operations on Natural Numbers
- ● 2.3. Eight operations on Fractions.
- ● 2.4. Eight operations on Zero.
- Unit 3. Pāṭīgaṇitam – Arithmetic
- ● 3.1. Reverse Process, Finding unknown.
- ● 3.2. Rule of Three, Inverse Proportion, Rule of Five etc.
- ● 3.3. Rule of Barter, Simple Interest.
- Unit 4. Some Important topics
- ● 4.1. Średhī- Progressions.
- ● 4.2. Aṅkapāśa-Combinatorics part 1
- ● 4.3. Combinatorics part 2
- Unit 5. Geometry – Śulbasūtras
- ● 5.1. Date, term Śulba, introduction.
- ● 5.2. Śulba constructions.
- ● 5.3.Śulba Transformations.
- Unit.6. Kṣetragaṇita –Geometry
- ● 6.1. Results and examples on Triangles.
- ● 6.2. Results and examples on Quadrilaterals.
- ● 6.3. Results and examples on Circles.
More Information
- Learning Objectives
- ● This is a foundation course in Indian Mathematics. Basic working knowledge in Sanskrit and Mathematics is required.
- Intended Outcomes
- ● At the end of the course students will be able to
- ● know the content of the texts in Sanskrit in Indian Mathematics
- ● know the rules and work out the examples in various topics in the subject
- ● understand and apply the concepts, principles and contributions of Indian mathematics and
- ● relate the methods and principles to the modern methodologies.
