What's This Vedic Mathematics?
Let us see illustration of Vedic Mathematics, before countering any other indepths,Illusrtation 1-
99962 = 9992 / 0016
Formulae - ÕBBåB¼þ_ÈBg ·BBåB¼_þÈBBVwBmx·ÕB åBBU B ÕBBcÕBc·B>4
Step 1: Subtract deficiency5 i.e. 9996 - 4= 9992 this is your first part of answer.
Step 2: Square the deficiency i.e. 42= 16, this is our second part.
Step 3: Arrange i.e. see how many 0's are there in base, here 4, so we need 4 digit in second part and so we put two 0's ahead 16, getting 0016. And join both of them, that is our answer. Illustration 2-
3 1 / 7 2 8 = 12
Formulae - BMåBßûBcwBxÈBÓBv>6
Step1: Recollect two features of Cubes from 1-9 a) highest possible cube is of 1 digit number is of 3 digit. b) There is no cube, that ends with same number. (write it and see)
Step 2: On these base, break the number in two part such that second part is of 3 digit.
Step 3: See the last number (i.e. 8 here) and write cube-root ending with this last number, assuming it as second part (or unit part of answer).
Step 4: Now, search the highest possible cube from first part, and write its root as first part of an answer (i.e. from 1, 1 could be subtracted, and its root is 1).
[It is applicable only when cube is perfect and cube root is of two digit number]
By these 2 illustrations it is clear that exorbitant seeming maths is so simple in reality, above given illustrations are not part of some new research or speed mathematics trick, rather it is one of the technique of Vedic Mathematics.
Vedic Mathematics came into light by the effort and application cleared by Shri Jagadguru Shankaracharaya Bharati Krishna Tirathji of Shringeri Math. He found certain unexplored parts of Atharvaveda7 that were left out by all the commentators finding it to be irrelevant and unexplainable. But Tirathji's conjecture was that there can be no fruitless thing in Veda, so he undertook this arduous task, and referred to various Koshas as Amar, Shabdakalpadrum etc. and finally found its end into mathematical application. He decoded 16 main and 13 corollary aphorisms giving precious treasure in field of mathematics. He says it includes even reference to Sthapatyaveda8.

There Any Mathematics in India
Going through above parts, this question is sure to strike? And it's simple answer is that Veda word itself means illimitable store house of knowledge, and as stated earlier no knowledge can be completed without mathematics, so mathematics is ought to be there9. Let us see certain interesting references of Ancient Indian Mathematics, to supplement our knowledge and quench our query-
Ø Vedic seer where expert in Geometry and Trigonometry to make layout of vedis10 for Yajnas. These are pioneered in Sulva Sutra and Shruta Sutra complied by 7 different rishis as Baudhayana, Aapastamba etc. Here for the first time Pythagorean the Orem was applied. (It was later precise inculcated by Bhaskaracharya, approximately 500 years before Pythagoras)
Ø It is indubitable fact that Indian were highly efficient in Astrology, Astronomy and Engineering. These pioneer the advancement of Indian Mathematics.
Ø Count of number next to 0 is again in India for example Valmiki refers in his Ramayana 10's power up to Mahaugha = 1060. And Pali grammarian Kacchayana provides the terminology of Asankheyya= 10140.
Ø To mark the extent of Indian Mathematics, let us refer to Baudhayana's solution for square-root of 2. He says 1 + 1/3 + 1/ (3x4) - 1/ (3.4.34) [it is precise up to 5 decimals]
Ø Not only these, English dictionary also adepts certain terminology from Sanskrit words as Baudhayana uses words like Tanjaya, Cotanjaya that are used today as Tangent, Cotangent etc.
Ø Another, interesting account is derivation of word Algebra, it comes from abbreviation of Arabic book Hisab Al-jabr M'wal Muqabala' (i.e. Account of new way to face equation). Its centre word Al-jabr after corruption gained a form of algebra. Now, history states it is work of Al-khowrazmi, what is basically translated work of Brahma-sphuta-siddhanta of Brahmagupta.
Thus, it proves there was mathematics in Ancient India- Q.E.D.
- DEEP KAPADIA

Intro

As the “crest of peacock and diamond on snake's head are situated as crown, so is the place of Mathematics in all the shastras, bestowed as crown.”(As per one Sanskrit subhashit )
Long ago our ancient seers had already realized, that if there is any subject in possible knowledge, and if it can be certain then it is only mathematics, none else; therefore they put forth the above mentioned statement, crowning mathematics as crown of all knowledge. And it is true also as is there anything in real life where mathematics is not applied? In all transaction that is related to wordly, Vedic or other similar religious affairs, calculation is of use. In the science of wealth, in music and in drama, in art of cooking, in medicine, in architecture, in prosody, in poetics and poetry, in logic and in grammar and such other things, and in relation to all that constitutes the peculiar value of arts, the science of calculation (ganitam) is held in high esteem. In relation to movement of heavenly bodies, in connection with Triprashana (direction, position and time) and the cause of the moon indeed in all this is utilized. . . What is good of saying much? What ever there is in all the three worlds which are possessed of moving and non-moving beings, cannot exists as apart from ganitam.2
Though this subject is of such prime importance, yet the reality is that maximum people run away from maths.3 Simple reason is that it is exorbitant and day by day it is becoming complicated, creating phobia over human mind. But it was not so in ancient days and so everyone uses to enjoy mathematics.