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## Essentials of Vedic Mathematics

Vedic mathematics is an ancient form of mathematics that is spreading its wings throughout educational systems and centers of knowledge. Interest as well as demand is growing for its simplicity and effectiveness, providing a set of advantages.

This ancient form of mathematics was born in the Vedic Age, but the system and the significance of this form were buried deep under the centuries and ages. Later, Sri Bharati Krsna Tirthaji studied the Vedas, a set of ancient Hindu sacred texts, from which he founded a set of sutras which he claimed supposedly encompassed all mathematics. The remarkable system of calculation was rediscovered by Tirthaji of the Vedas between 1911 and 1918.

“Sutras” is a term taken from the ancient Indian language, Sanskrit, meaning “thread of knowledge”. As the meaning suggests, these sutras are best described as word formulas or one-line formulas that facilitate mathematical calculations. These formulas naturally make the mind work towards the proper method of solution. Also known as aphorisms, it covers all aspects of mathematics, including arithmetic, algebra, geometry, calculus, and trigonometry.

Vedic mathematics is based on the principle of 16 easily memorized, easily understood sutras, which enable solving long and difficult mathematical problems quickly and efficiently. The 16 sutras are:

1. Ekadhikina Purvena: For one more than the previous one

2. Nikhilam Navatashcaramam Dashatah: All from 9th and last from 10th

3. Urdhva-Tiryagbyham: vertical and transverse

4. Paraavartya Yojayet: Transpose and adjust

5. Shunyam Saamyasamuccaye: When the sum is the same, that sum is zero

6. (Anurupye) Shunyamanyat: If one is in proportion, the other is zero

7. Sankalana-vyavakalanabhyam: By addition and by subtraction

8. Puranapuranabyham: For completion or non-completion

9. Chalana-Kalanabyham: differences and similarities

10. Yaavadunam: Whatever may be the degree of his deficiency

11. Vyashtisamanstih: Part and all

12. Shesanyankena Charamena: Remainders for the last digit

13. Sopaantyadvayamantyam: The last and twice the penultimate

14. Ekanyunena Purvena: By one less than the previous one

15. Gunitasamuchyah: The product of the sum equals the sum of the product

16. Gunakasamuchyah: The factors of the sum are equal to the sum of the factors

There are numerous benefits of Vedic mathematics. Some of the most significant benefits are its efficiency and perfection in solving all kinds of mathematical problems and calculations such as reciprocals, squares and square roots, cubes and cube roots, multiple simultaneous equations, cubic equations and higher order equations. It also helps to check all calculations and confirm correctness.

Apart from these, it also plays an influential role in providing a new approach to our perspective by enriching our knowledge and understanding of mathematics.

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