16 Sutras Of Vedic Maths Pdf

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16 Sutras Of Vedic Maths Ppt

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Vedic Mathematics
CountryIndia
LanguageEnglish
SubjectMental calculation
PublisherMotilal Banarsidass
1965
ISBN978-8120801646
OCLC217058562

The Vedic Mathematics Sutras This list of sutras is taken from the book Vedic Mathematics, which includes a full list of the sixteen Sutras in Sanskrit, but in some cases a translation of the Sanskrit is not given in the text and comes from elsewhere. 16 Sutras Of Vedic Maths Pdf. 16 SUTRAS OF VEDIC MATHEMATICS The sixteen sutras of VEDIC MATHEMATICS. Sutras 1 Ekadhikina Purvena COROLLARY: Anurupyena Meaning: By one more than the previous one 2 Nikhilam Navatashcaramam Dashatah. Vedic Mathematics is a book written by the Indian monkSwami Bharati Krishna Tirtha and first published in 1965. Vedic Mathematics is an assortment of Techniques/Sutras to tackle numerical mathematics in simple and quicker way. It comprises of 16 Sutras (Formulae) and 13 sub-sutras (Sub Formulae) which can be utilized for issues associated with number, algebra, geometry, calculation, conics. Books (Free) Please find below a range of free books on the subject of Vedic Mathematics. These books are mostly in English, except for the 'Vedic Mathematics Teacher's Manual - Elementary Level', which has been translated into six languages (See Book tab). A good free introductory ebook in Spanish can be found here. Vedic Mathematics by the late Sankarciira (BhPrati Krsna Tirtha) of Govardhana Pitha is a monumental work. In his deep-layer explorations of cryptic Vedic mysteries relat- ing specially to their calculus of shorthand formulae and their neat and ready application to practical problems, the late.

Vedic Mathematics is a book written by the Indian monkSwami Bharati Krishna Tirtha and first published in 1965. It contains a list of mental calculation techniques claimed to be based on the Vedas. The mental calculation system mentioned in the book is also known by the same name or as 'Vedic Maths'. Its characterization as 'Vedic' mathematics has been criticized by academics, who have also opposed its inclusion in the Indian school curriculum.

History[edit]

Although the book was first published in 1965, Tirthaji had been propagating the techniques since much earlier, through lectures and classes.[1] He wrote the book in 1957.[2]:10 It was published in 1965, five years after his death as 367 pages in forty chapters. Reprints were made in 1975 and 1978 with fewer typographical errors.[3] Several reprints have been made since the 1990s.[2]:6

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Contents[edit]

16 sutras of vedic maths ppt

The book contains sixteen sutras and fifteen sub-sutras, each of which lists a mental calculation technique. The sixteen sutras are as follows:[2]:11[4]

#NameUpa SutraMeaningCorollory
1Ekadhikena PurvenaAnurupyenaBy one more than the previous oneProportionately
2Nikhilam Navatashcaramam DashatahSisyate SesasamjnahAll from 9 and the last from 10The Remainder Remains Constant
3Urdhva-TiryagbyhamAdyamadyenantyamantyenaVertically and crosswiseThe First by the First and the Last by the Last
4Paraavartya YojayetKevalaih Saptakam GunyatTranspose and adjustFor 7 the Multiplicand is 143
5Shunyam SaamyasamuccayeVestanamWhen the sum is the same that sum is zeroBy Osculation
6Anurupye ShunyamanyatYavadunam TavadunamIf one is in ratio, the other is zeroLessen by the Deficiency
7Sankalana-vyavakalanabhyamYavadunam Tavadunikritya Varga YojayetBy addition and by subtractionWhatever the Deficiency lessen by that amount and set up the Square of the Deficiency
8PuranapuranabyhamAntyayordashake'piBy the completion or non-completionLast Totalling 10
9Chalana-KalanabyhamAntyayorevaDifferences and SimilaritiesOnly the Last Terms
10YaavadunamSamuccayagunitahWhatever the extent of its deficiencyThe Sum of the Products
11VyashtisamanstihLopanasthapanabhyamPart and WholeBy Alternate Elimination and Retention
12Shesanyankena CharamenaVilokanamThe remainders by the last digitBy Mere Observation
13SopaantyadvayamantyamGunitasamuccayah SamuccayagunitahThe ultimate and twice the penultimateThe Product of the Sum is the Sum of the Products
14Ekanyunena PurvenaDhvajankaBy one less than the previous one.On the Flag
15GunitasamuchyahDwandwa YogijiThe product of the sum is equal to the sum of the product.
16GunakasamuchyahAdyam Antyam MadhyamThe factors of the sum is equal to the sum of the factors

Criticism[edit]

Tirthaji claimed that he found the sutras after years of studying the Vedas, a set of sacred ancient Hindu scriptures. However, the Vedas do not contain any of the 'Vedic mathematics' sutras.[1][5] First, Tirthaji’s description of the mathematics as Vedic is most commonly criticised on the basis that, thus far, none of the sūtras can be found in any extant Vedic literature (Williams, 2000). When challenged by Professor K.S. Shukla to point out the sutras in question in the Parishishta of the Atharvaveda, Shukla reported that the Tirthaji said the sixteen sutras were not included in standard editions of the Parishishta and that they occurred in his own Parishishta and not any other.[6][7]

Professor Vasudeva Saran Agrawala, the editor of the first edition of Tirthaji's book, notes that there is no evidence that the sutras are 'Vedic', as such, in their origin.[2]:6 Similarly, S. G. Dani of IIT Bombay points out that the contents of the book have 'practically nothing in common' with the mathematics of the Vedic period or even with subsequent developments in Indian mathematics. For example, multiple techniques in the book involve the use of decimal fractions, which were not known during the Vedic times: even the works of later mathematicians such as Aryabhata, Brahmagupta and Bhaskara do not contain any decimal fractions. He contends that Tirthaji liberally interpreted three-word Sanskrit phrases to associate them with arithmetic.[1]

Tirthaji's claim that the sutras are relevant to advanced mathematical techniques such as successive differentiation or analytical conics have also been dismissed by Dani. He terms 'ludicrous' Tirthaji's claim that 'there is no part of mathematics, pure or applied, which is beyond their jurisdiction'. He also points out that while Tirthaji's methods were not unique, they may have been invented by him independently, as Tirthaji held an MA in mathematics. Similar systems include the Trachtenberg system or the techniques mentioned in Lester Meyers's 1947 book High-speed Mathematics.[1]Alex Bellos points out that several of the calculation tricks can also be found in certain European treatises on calculation from the early Modern period.[8]

Use in schools[edit]

16 Sutras Of Vedic Maths Pdf Online

The book was previously included in the school syllabus of Madhya Pradesh and Uttar Pradesh.[2]:6 Some schools and organizations run by Hindu nationalist groups, including those outside India, have also included Tirthaji's techniques in their curriculum. The Hindu nationalists have also made several attempts to have Tirthaji's 'Vedic mathematics' system included in the Indian school curriculum via the NCERT books.

A number of academics and mathematicians have opposed these attempts on the basis that the techniques mentioned in the book are simply arithmetic tricks, and not mathematics. They also pointed out that the term 'Vedic' mathematics is incorrect, and there are other texts that can be used to teach a correct account of the Indian mathematics during the Vedic period. They also criticized the move as a saffronization attempt to promote religious majoritarianism.[9][10]

Dani points out that while Tirthaji's system could be used as a teaching aid, there was a need to prevent the use of 'public money and energy on its propagation, beyond the limited extent'. He pointed out that the authentic Vedic studies had been neglected in India even as Tirthaji's system received support from several Government and private agencies.[1]

Proponents of Vedic Mathematics however argue that the methods are not merely mathematical tricks and that there is an underlying psychology because the aphorisms describe personal approaches to problem-solving. As pedagogic tools, the methods are useful because they invite students to deal with strategies.[11]

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References[edit]

  1. ^ abcdeS. G. Dani (December 2006). 'Myths and reality : On ‘Vedic mathematics’'. Originally published as a 2-part article in Frontline, 22 October and 5 November 1993. The updated version appears in Kandasamy and Smarandache (2006).
  2. ^ abcdeW.B. Vasantha Kandasamy; Florentin Smarandache (December 2006). Vedic Mathematics: Vedic Or Mathematics: A Fuzzy and Neutrosophic Analysis(PDF). American Research Press. ISBN978-1-59973-004-2. Retrieved 23 May 2013.
  3. ^Biographical sketch by Manjula Trivedi, 1965 in book Vedic Mathematics, pages x, xi.
  4. ^R. K. Thakur (1 November 2009). Vedic Mathematics. Unicorn and Dragon Books. ISBN978-81-7806-177-1. Retrieved 23 May 2013.
  5. ^The Fraud of Vedic Maths. Hartosh Singh Bal. Open Magazine. 14 August 2010.
  6. ^K.S. Shukla, Vedic mathematics — the illusive title of Swamiji’s book, Mathematical Education, Vol 5: No. 3, January–March 1989
  7. ^K.S. Shukla, Mathematics — The Deceptive Title of Swamiji’s Book, in Issues in Vedic Mathematics, (ed: H.C.Khare), Rashtriya Veda Vidya Prakashan and Motilal Banarasidass Publ., 1991.
  8. ^Alex Bellos (2010). '3'. Alex's Adventures in Numberland. Bloomsbury.
  9. ^Neither Vedic nor Mathematics
  10. ^Legitimisation of Vedic mathematics, astrology opposed. The Hindu, 14 August 2001.
  11. ^Glover, James (17 October 2014). 'Everything Vedic in 'Vedic Maths''. The Hindu. Retrieved 4 January 2016.
Retrieved from 'https://en.wikipedia.org/w/index.php?title=Vedic_Mathematics_(book)&oldid=888213175'

16 SUTRAS OF VEDIC MATHEMATICS. The sixteen sutras of VEDIC MATHEMATICS. Sutras 1 Ekadhikina Purvena COROLLARY. Vedic Mathematics provides principles of high speed multiplication. discussed 16 Vedic Mathematics Sutra which can be used to increase. Sutras 1 Ekadhikina Purvena COROLLARY: Anurupyena Meaning: By one more than the previous one 2 Nikhilam Navatashcaramam.

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With this methods and tricks, You can solve difficult maths calculations, mentally and instantantly figure out the right answer to the sum, which you were used to calculate with paper or a calculator. We can use it in two ways:. We use this sutra to get adhikaya and complement from last functional base. Suppose we are asked to find out the area of a rectangular card board whose length and breadth are respectively 6ft.

Yaavadunam Whatever the extent of its deficiency The Sutra simply means – numbers of which the last digits added up give Since is 3 more than basewe call 3 as the surplus. We use this sutra to find the value of variable by making equation perfect square or perfect cube. You will find that soon you’ll start using this methods in your general life and make its Optimum use.

The neareset power of 10 to given number 94 is 2.

Vedic

Sixteen Sutras of Vedic Mathematics

Find the square of Always the base should be same for the two numbers. In this situation one deviation is positive and the other is negative. This gives actual factors of the expression. Your can observe that this is more convenient while working with the product of 3 digit numbers. We can use this in the following two ways:. In connection with factorization of quadratic expressions a sub-Sutra, viz. The factors of the sum is equal to the sum of the factors.

Sutras

If the deviation is near then we need to consider 3 digits in the deviation eg, and not just 4. Now try to find the square of Here ‘one’ and ‘zero’ are in normal form. Try to find the square of and 19 using this sutra. It can be applied in solving a special type of simultaneous equations where the x – coefficients and the y – coefficients are found interchanged. Solve the following expressions into factors by using appropriate sutras: At that instant use Ekadhikena on left hand side digits.

We can use this by the following way:. Therefore, let us take as our base. By the completion or non completion. What vexic sqaure of using this rule? This sutra means whatever the extent off its surplus, increment it still further to that very extent; and also set up the square of that surplus.

This 1 as Reminder gives one 50 making the L. All from 9 and the last from The ‘1’ in becomes ‘carry’ to The only contribution we seek from our readers is to Bookmark our site to make people aware of this blog. Adjust as many ’12’ s as possible towards left as ‘units’ i. Vedic Mathematics VS Traditional Methods Vedic Mathematics makes mathematics more easy and fun to learn compared to the traditional methods we learn and use in our life.

The numbers taken can be either less or more than the base considered. So the right hand side of the answer obtained will therefore have to be subtracted.

Shesanyankena Charamena The remainders by the last digit Do come back again. The traditional methods are more complex and difficult to use and apply and thus most of us starts hating Maths.

The sub-sutra removes the difficulty and makes the factorization simple. We represent it as Solve 58 x Thus he got area in some sort of 35 squints and another sort of sq.

The nearest power of 10 to is Find the following products by Nikhilam formula. This is done because, we need to consider two digits in deviation as it the base has two zeros.

YOUTH AWARENESS PROGRAMME : 16 SUTRAS OF VEDIC MATHEMATICS

But we need to stick to basics and use some common sense. We vdic this sutra to determine a number which is common to all and that must be equal to zero. The Sutra ‘ Adyamadyena-Antyamantyena’ means ‘the first by the first and the last by the last’.

16 Sutras Of Vedic Maths Pdf Free

We use this sutra to get a complement number from its functional base. Leave a Reply Cancel reply Your email address will not be published.

16 sutras of vedic maths in hindi pdf

We write the last digit in the numerator as 1 and follow the steps leftwards.

16 Sutras Of Vedic Maths Pdf Download

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