Essentials of Vedic Mathematics

Vedic Mathematics is an ancient form of Mathematics that is spreading its wings around the educational systems and the knowledge centers.

The interest as well as the demand is growing due to its simplicity and effectiveness, providing a bundle of benefits.
This ancient form of mathematics was born in the Vedic Age but the system as well as the significance of this form was buried deep under the centuries and ages.

Later on, Sri Bharati Krsna Tirthaji studied the Vedas, a set of sacred ancient Hindu texts, from where he founded a set of sutras that he claimed allegedly encompass all mathematics.
The remarkable system of calculation was then rediscovered by Tirthaji from the Vedas between 1911 and 1918. 'Sutras' is a term taken from the ancient Indian language, Sanskrit, that means 'thread of knowledge'. As the meaning suggests, these sutras are well described as word formulae or one-line formulae that ease mathematical calculations.

These formulae naturally make the mind works in direction to the appropriate method of solution.
It is also known as aphorisms and covers each and every aspect of mathematics including arithmetic, algebra, geometry, calculus, and trigonometry. Vedic Maths works on the principle of 16 sutras that are easily memorized, easily understandable, enabling to solve long and tough mathematical problems quickly and effectively. The 16 sutras are: 1.

Ekadhikina Purvena: By one more than the previous one 2. Nikhilam Navatashcaramam Dashatah: All from 9 and the last from 10 3.

Urdhva-Tiryagbyham: Vertically and crosswise 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 ratio, the other is zero 7.

Sankalana-vyavakalanabhyam: By addition and by subtraction 8. Puranapuranabyham: By the completion or non-completion 9.
Chalana-Kalanabyham: Differences and Similarities 10.
Yaavadunam: Whatever the extent of its deficiency 11. Vyashtisamanstih: Part and Whole 12.
Shesanyankena Charamena: The remainders by the last digit 13.
Sopaantyadvayamantyam: The ultimate and twice the penultimate 14.

Ekanyunena Purvena: By one less than the previous one 15. Gunitasamuchyah: The product of the sum is equal to the sum of the product 16.
Gunakasamuchyah: The factors of the sum is equal to the sum of the factors There are numerous benefits of vedic mathematics. Some of the most significant benefits are its effectiveness and perfection in solving all sort of mathematical problems and calculations like reciprocals, squares and square roots, cubes and cube roots, multiple simultaneous equations, cubic equations, and higher degree equations.

It also helps to cross check all the calculations and confirm the correctness.
Apart from these, it also plays an influential role in providing a new approach to our outlook by enriching our knowledge and understanding of Mathematics.