Examples of Vedic Mathematics

FEW EXAMPLES SOLVED ON THE BASIS OF VEDIC MATHEMATICS

Dinesh Bansal, # 1427, FF,Sec-15, Panchkula,HARYANA. dineshbansalvm@gmail.com

Arithmetic
Example 1. Multiply 996 x 988
Solution 998 – 012
966 – 004
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984/048 = 984048 Answer.

Example 2. Multiply 241 x 324
Solution 241
324
--------
6/16/19/18/4 = 78084 Answer.

Example 3. Squaring 155
Solution 115² = 11 x 12 /25 = 13225 Answer.

Example 4. Cubing 105
Solution 105+10/15x5/5³ = 1157625 Answer.

Algebra

Example 5. Multiply (2x² + x + 3) x (3x² +2x +4).
Solution x² x c
2 1 3
3 2 4
------------------
6/7/19/10/12.
= 6x4 + 7x³ + 19x² + 10x + 12 Answers.

Example 6. Solve X + 1/X = 29/10.
Solution D = 10 = 5x2
N = 5² + 2² = 29.
So x = 5/2 or 2/5. Answer .

Examle 7. Solve 6x 104 – 35x³ + 62x² - 35x + 6 = 0.
Solution Putting y = x+1/x we get 6y² -35y + (62- 6- 6) = 0.
6y² - 35y + 50 = 0.
Gives y = 5/2 or 10/3.

Y = x+1/x =5/2 {X =2/1 or 1/2}
Y = x+1/x = 10/3 {X = 3/1 or 1/3} Answer.


Trignometry

Example 8. If Cos = 2/3 and Sin B = 5/6. Find Sin ( A + B)
Solution A = 2 ± √5 3
B = ± √11 5 6
+

A + B = ( √55 + 10)
Sum ( A+B ) =±(√55 + 10)
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18 Answer.

Example 9. Evalute tan-1 ½ + tan -1 1/3.
Solution A) 2 1 -
B) 3 1 -
------------------------
A+B = 5 5 1
= 1 1 √2 = 22 / 4
------
7
So tan-1 ½ + tan-1 1/3 = 22 x2 / 4. Answer.
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7

VEDIC-SUTRAS

VEDIC-SUTRAS

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1.E Kadhi Kena, Purvena = By one more than the one before
2.Nikhilam NavataScaramam Dasatah. = All from 9 and the last from 10.
3.Urdhva Tiryagabhyam = Vertically and Crosswise
4.Paravatya yojayet = Transpose & apply
5.Sunyam Samyasamuccaye = If the Samuccaya is the same, It is zero.
6.Sunyam Anyat (Anurupye) = Ifone is in ratiothe other is zero
7.Sankalana Vyavakalanabhyam = By addition and Subtraction
8.Puranapuranabhyamb = By the completion or Non-Completion
9.Calana Kalanabhyam = Differential Calculus.
10.Yavadunam = By the deficiency
11.Vyastisamastih = Specific or general
12.Sesanyankena Curamena = The remainders by the last digit.
13.Sopantyadvayamantyam = The ultimate and Twice the penultimate
14.Ekanyunena purvena = Byone less than the one before
15.Gunita Samuccayah = The Product of the Sum
16.Gunaka Samuccayah = All the Multipliers.

Advantages of Vedic Maths !

"Some Significant Advantages of "Vedic Mathematics"

• Vedic Mathematics equips us with mental 1 line formula which speeds up calculations by more than 10/15 times if compare with normal Maths.
• Vedic Mathematics correlates the mathematics methods learnt at regular schools . With the Vedic ones one leads to development of mathematical intelligence & confidence.
• Vedic Maths. has an edge over calculations as mathematics question having answers in more than 10 digits can easily be solved and in very less time but only by Vedic mathematics & can't be solved by calculators ,cos. calculators have limitations for Maximum8/10 Digits only.
• "Vedic Mathematics" has been proved very useful for software Programmers. The subject is overall more scientific in nature over the normal mathematics and thus acts as very constructive tool for coding & programming. Eve companies like IBM and Microsoft are in the process of imparting this knowledge to their special staff.
• Vedic Mathematics works excellent for topics like Algebra, Trigonometry & Calculus.
• "Vedic Mathametics" has 16 sutras. These Sutras are immensely useful to calculate mathematical fractions up to 1o-40 decimal places. This accuracy is specially being used these days in space Technology and Artificial Intelligence. Even the American Research Space Centre NASA is using these Sutras.
• *Vedic Mathematics* acts as an advantageous functional tool in Competitive Examination where calculators are not permitted. Thus calculations faster and results in high confidence.
• "Vedic Mathematics" is a coherent, unified and systematic as compared to conventional Mathematics system.
• "Vedic Mathematics" improves the intellect of a person and removes his/hers dependency on Calculators and Computers for calculations and problem solving.
• Vedic Mathematics basically originates from Vedas which manifest Divine knowledge. Any knowledge derived from the Vedas is bound to have touch of DIVINE BLISS.
• Therefore the many natural easy and super fast algorithms of Vedic Mathematics brings an upsurge of joy and bliss both.
• Vedic Maths system converts the dry and tedious mathematics Into a playful subject, which Children can learn with smile !!!!
• According to the Biological Sciences, "Our brain can be divided into two parts ie the Right & Left brain" According to them left brain systematically collects information & arrives at logical conclusions and result. Our present & modern maths activates and develops the left brain. Whereas our right half part of brain works with pattern recognition and has the capability of intuition. In the Vedic Mathematics system, the very first step is to recognise the pattern of the problem and pickup the most efficient Vedic Algorithm. Secondly after selecting the algorithm, we complete the task by using the appropriate super fast mental working procedure. This all is possible in in Vedic Mathematics, where we have a multiple choices available at each of working. Hence this practice systematically develops the right half of the brain as well. Hence in the nutshell, we can say that Vedic Maths provides the cosmic software for the cosmic computer (human brain)so that this part of the brain is not wasted or left unused !!!!!
• Hence we conclude that VEDIC MATHEMATICS IS A MAGIC WHICH HELPS STUDENTS TO LEARN TRADITIONAL MATHEMATICS WITH GREAT EASE AND FUN. ANYHOW, IF YOU READERS HAVE ANY PROBLEM/ENQUIRY/HELP, IN REGARDS TO VEDIC MATHEMATICS, FEEL FREE TO CONTACT ME VIA E-MAIL AT dineshbansalvm@gmail.com I shall respond your quarries positively.

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General wrong perception in India

General wrong perception of people about "Vedic Mathematics" in India.

Parents think that children would get confused by new methodology of "Vedic Mathametics" as it not taught in Schools from the basic level. Some feel that calculations can be speeded up using calculators and computers so there may not be a need of "Vedic Mathematics".

Future With Vedic Maths

**FUTURE WITH VEDIC MATHEMATICS**

Vedic Mathematics is an ancient system of Calculations. Actually it is a boon to the entire world community by learned Sages/Rishis of India, who invented/formulated, many easy to use formulas over many centuries together.

It is very sad! Although Vedic Mathematics is invented in India yet very work is being done for its understanding,development & Research. This is the reason that till date it is not popular in India . Many of the people don't even know what the Vedic Mathematics is !!!! While on the other side,a lot of work is being done by U.K. & U.S.A. & other parts of the world. Few of the efforts done by these countries is as under........

1. Since 1985, Vedic Mathematics is being taught at the school of Economic Sciences London, St.James School, St.Vedast School, Mary Ward Centre London, School of Philosophy Australia & many other institutions in USA &Holland etc etc...
2. Since 1988, a Course was being run at Mary Ward Centre, London, using Vedic mathematics for the entire GLEA-level Maths, (Equivalent to Our 10+2).

Research work on applications of Vedic mathematics was being done in U.K. on Trigonometry, 2/3 Dimensional co-ordinate geometry, solution of linear differential equations, metrics, determinants, log and exponential etc. Many books have been published in U.K. by U.K. writers.etc. Work on Vedic period in regards to mathematics have not survived with the ravages of time and hence our knowledge regarding mathematics of this period i.e. Vedic Samhita, the Brahmans and Vedangas. Religious works of the Buddhists & Jain's and the Aryabhatia of Aryabhatia give some idea of the development of mathematics from 500B.C. to 500 A.D.

A study of the Vedic works reveal that by 500B.C. the Hindus were well versed in the use of Numbers. They knew all fundamental operations of arithmetic i.e. Addition, Subtraction, Multiplication, Division, Squaring, Cubing, Square-root & cube-root etc.They were also Well-Versed in the use of fractional number, mensuration, simple geometrical figures and solutions of some Algebraic problems.

Dr. R. Briggs of NASA, California wrote an article through the A.I. magazine (volume 6,no. 1 spring 1985) "Knowledge Representation in Sanskrit and artificial Intelligence". Secondly, Cover Page of spring 1985 issue of AI is decorated with the Sanskrit Shloks from the second chapter of "Shrimad Bhagvadgita". The contents of the article were as under .....

"Here it is interesting to Speculate as to why the Indians found it worth while to pursue studies into unambiguous coding of natural language into Semantic elements. It is tempting to think of them as computer Scientists". We should not forget that its the Indian thinkers who invented Zero and the Binary numbers system, a thousand years before the West re-invented them. Indian thinkers analysis of language(Sanskrit) casts doubt on the humanistic distinction between natural and Artificial Intelligence and may throw light on research in Artificial Intelligence may finally solve the natural language understanding and machine translation problems.

BREIF HISTORY OF VEDIC MATHS

"VedicMathematics" was discovered by Jagadguru Swami Bharti Krishna Teerthji Maharaj(Shankaracharya of Goverdhan Math Puri & Dwarka in between 1854-1960) from the Arthravaveda(A branch of veda dealing with engineering & mathematics).He combined the small words (used in sanskrit) from vedas with some other words and then made a combination of line, called sutra.In all 16 Sutras were formwd which make a base for total"Vedic Mathematics".

"sivam vedic maths"

coming up..............!

Dinesh