- 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 makes mathematics more easy and fun to learn compared to the traditional methods we learn and use in our life. The traditional methods are more complex and difficult to use and apply and thus most of us starts hating Maths.
- The Vedic Maths contains 16 sutras (formulas) and 13 sub-sutras(corollary). Today I am discussing all the 29 Vedic Maths formulas. Basically, all the sutra are written in Sanskrit name.
- 16 Sutras Of Vedic Maths In Hindi Pdf
- 16 Sutras Of Vedic Maths Pdf Online
- What Are The 16 Sutras Of Vedic Maths
- 16 Sutras Of Vedic Maths Pdf Book
- 16 Sutras Of Vedic Maths Pdf Free
Vedic Mathematics: Vedic Or Mathematics: A Fuzzy and Neutrosophic Analysis (PDF). American Research Press. ISBN 978-1-59973-004-2. Retrieved 23 May 2013. ^ Biographical sketch by Manjula Trivedi, 1965 in book Vedic Mathematics, pages x, xi. Thakur (1 November 2009). Vedic Mathematics. Unicorn and Dragon Books.
| Country | India |
|---|---|
| Language | English |
| Subject | Mental calculation |
| Publisher | Motilal Banarsidass |
| 1965 | |
| ISBN | 978-8120801646 |
| OCLC | 217058562 |
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]
Netvue app. 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]
| # | Name | Upa Sutra | Meaning | Corollory |
|---|---|---|---|---|
| 1 | Ekadhikena Purvena | Anurupyena | By one more than the previous one | Proportionately |
| 2 | Nikhilam Navatashcaramam Dashatah | Sisyate Sesasamjnah | All from 9 and the last from 10 | The Remainder Remains Constant |
| 3 | Urdhva-Tiryagbyham | Adyamadyenantyamantyena | Vertically and crosswise | The First by the First and the Last by the Last |
| 4 | Paraavartya Yojayet | Kevalaih Saptakam Gunyat | Transpose and adjust | For 7 the Multiplicand is 143 |
| 5 | Shunyam Saamyasamuccaye | Vestanam | When the sum is the same that sum is zero | By Osculation |
| 6 | Anurupye Shunyamanyat | Yavadunam Tavadunam | If one is in ratio, the other is zero | Lessen by the Deficiency |
| 7 | Sankalana-vyavakalanabhyam | Yavadunam Tavadunikritya Varga Yojayet | By addition and by subtraction | Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency |
| 8 | Puranapuranabyham | Antyayordashake'pi | By the completion or non-completion | Last Totalling 10 |
| 9 | Chalana-Kalanabyham | Antyayoreva | Differences and Similarities | Only the Last Terms |
| 10 | Yaavadunam | Samuccayagunitah | Whatever the extent of its deficiency | The Sum of the Products |
| 11 | Vyashtisamanstih | Lopanasthapanabhyam | Part and Whole | By Alternate Elimination and Retention |
| 12 | Shesanyankena Charamena | Vilokanam | The remainders by the last digit | By Mere Observation |
| 13 | Sopaantyadvayamantyam | Gunitasamuccayah Samuccayagunitah | The ultimate and twice the penultimate | The Product of the Sum is the Sum of the Products |
| 14 | Ekanyunena Purvena | Dhvajanka | By one less than the previous one. | On the Flag |
| 15 | Gunitasamuchyah | Dwandwa Yogiji | The product of the sum is equal to the sum of the product. | |
| 16 | Gunakasamuchyah | Adyam Antyam Madhyam | The 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]
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]
16 Sutras Of Vedic Maths In Hindi Pdf
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References[edit]
- ^ 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).
- ^ 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.
- ^Biographical sketch by Manjula Trivedi, 1965 in book Vedic Mathematics, pages x, xi.
- ^R. K. Thakur (1 November 2009). Vedic Mathematics. Unicorn and Dragon Books. ISBN978-81-7806-177-1. Retrieved 23 May 2013.
- ^The Fraud of Vedic Maths. Hartosh Singh Bal. Open Magazine. 14 August 2010.
- ^K.S. Shukla, Vedic mathematics — the illusive title of Swamiji’s book, Mathematical Education, Vol 5: No. 3, January–March 1989
- ^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.
- ^Alex Bellos (2010). '3'. Alex's Adventures in Numberland. Bloomsbury.
- ^Neither Vedic nor Mathematics
- ^Legitimisation of Vedic mathematics, astrology opposed. The Hindu, 14 August 2001.
- ^Glover, James (17 October 2014). 'Everything Vedic in 'Vedic Maths''. The Hindu. Retrieved 4 January 2016.
In the race of competition and the technology, we left behind the importance of the traditional methods, which were once originated years ago to help us in solving the complexity of the mathematics problems in algebra.
With the increase in the cutthroat competition of the ambitious exams, most of the aspirants stuck in quantitative part just because of long calculations.
The competitive exams like SSC, IBPS, RRB and UPSC, comprises of the Maths section. So, if you are planning to appear in any of these exams then, this article will really help you out in the calculations.
Here, you will get to know the Vedic Maths tricks to solve the quantitative part. After learning the Vedic Maths practices you can easily solve the complex problems with speed and accuracy.
List of 16 Sutras with their Meanings and Uses
Vedic Maths is originated from the word ‘Vedas’ which means knowledge. It was first introduced by Shri Bharati Krsna Tirthaji. According to him, there are 16 sutras. Below we have mentioned all the 16 sutras with their meaning and uses.
S.No. | Sutras Name | Meaning | Where to use |
Sutra 1 | Ekadhikina Purvena | By one more than the previous one | Squaring of a number ending with 5 |
Sutra 2 | Nikhilam Navatashcaramam Dashatah | All from 9 and the last from 10 | Multiplication of numbers, which are near to base like 10, 100, 1000 |
Sutra 3 | Urdhva-Tiryagbyham | Vertically and crosswise | It is the general formula, applicable to all cases of multiplication of two large number |
Sutra 4 | Paraavartya Yojayet | Transpose and adjust | When divisor greater than 10 John deere baler serial number lookup. |
Sutra 5 | Shunyam Saamyasamuccaye | When the sum is the same that sum is zero | - |
Sutra 6 | Anurupyena- Sunyamanyat | If one is in ratio, the other is zero | To find out the product of two number when both are near the common base like 40, 40, etc. (multiples of powers of 10). |
Sutra 7 | Sankalana-Vyavakalanabhyam | By addition and by subtraction | It is used to solve simultaneous simple equations which have the co-efficient of the variables interchanged. |
Sutra 8 | Puranapuranabyham | By the completion or Non-completion | Used to simplify or solve the algebra problems. |
Sutra 9 | Chalana-Kalanabyham | Differences and Similarities | - |
Sutra 10 | Yaavadunam | Whatever the extent of its deficiency | Applicable to obtain sq. of a number close to bases of powers of 10 |
Sutra 11 | Vyashtisamanstih | Part and Whole Cushman serial number lookup. | Help in the factorisation of the quadratic equation of types |
Sutra 12 | Shesanyankena Charamena | The remainders by the last digit | It is to express a fraction as a decimal to all its decimal places |
Sutra 13 | Sopaantyadvayamantyam | The ultimate and twice the penultimate | - |
Sutra 14 | Ekanyunena Purvena | By one less than the previous one | This sutra is used in case of multiplication by 9, 99… |
Sutra 15 | Gunitasamuchyah | The product of the sum is equal to the sum of the product | Used to verify the correctness of obtained answers in multiplications, divisions and factorizations. |
Sutra 16 | Gunakasamuchyah | The factors of the sum are equal to the sum of the factors | - |
List of 13 Sub-Sutras with their Meanings
Below is the list of 13 Sub-Sutras along with their meanings:
S.No. | Sub-Sutras Name | Meaning |
Sub-Sutra 1 | Anurupyena | Proportionately |
Sub-Sutra 2 | Sisyate Sesasamjnah | Remainder remains constant |
Sub-Sutra 3 | Adyamdyenantya-mantye-na | First by first and last by last |
Sub-Sutra 4 | Kevalaih Saptakam Gunyat | For 7 the Multiplicand is 143 |
Sub-Sutra 5 | Vestanam | By Osculation |
Sub-Sutra 6 | Yavadunam Tavadunam | Lessen by the Deficiency |
Sub-Sutra 7 | Yavadunam Tavadunam Varganca Yojayet | Whatever the Deficiency lessen by that amount and set up the Square of the Deficiency |
Sub-Sutra 8 | Antyayordasake | Last Totalling 10 |
Sub-Sutra 9 | Antyayoreva | Only the Last Terms |
Sub-Sutra 10 | Samuccayagunitah | The Sum of the coefficients in the product |
Sub-Sutra 11 | Lopanasthapanabhyam | By Alternate Elimination and Retention |
Sub-Sutra 12 | Vilokanam | By Mere Observation |
Sub-Sutra 13 | Gunitasmuccayah Samuccayagunitah | The Product of the Sum is the Sum of the Products |
Advantages of Using Vedic Maths Tricks
Vedic Maths is the most significant way to solve the numerical problems in minimal time. It is advantageous for the aspirants who are preparing for the competitive exams and help to overcome the ‘mathematics phobia’.
If you are not aware of the benefits offered by the Vedic maths then, you can check all of them below. We have compiled the list of advantages of learning Vedic maths formulas.
Easy Way to Learn
Vedic Maths is a simpler and interesting way of learning the Maths tricks than the usual Maths. The tricks and the sutras used in the Vedic Maths are profound which makes it simpler in learning.
Helps in Cross-Checking
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Cross-checking the Maths paper becomes difficult because of the complex calculations but once you are habitual of using Vedic Maths tricks you will be able to cross check the solutions in minimal time.
Enhance Logical Thinking
One of the most beneficial benefits of using Vedic Maths trick is that it enriches the logical thinking and understanding the Maths problems.
Improve Confidence
Confidence is not something that can be learned in a day. Practicing the Vedic Maths on a regular basis will also compliment you with the self-confidence for solving the tricky Maths solutions.
What Are The 16 Sutras Of Vedic Maths
More Systematic Way of Learning
Vedic Maths provides more systematic, simplified, unified & faster way than the conventional system. Vedic Mathematics offers a new and entirely different approach to the study of Mathematics based on pattern recognition, which helps the students to be more creative and learn faster.
Improves the Performance in Competitive Level Exams
One can do calculations in a much faster way than the typical methods taught in the school. These methods helped to solve the mathematical problems in a different way but when you are in the competitive world you need to be speedier and more accurate to qualify the exam.
Some Suggested Reads for Competitive Exams
Important English Vocabulary
Synonyms Antonyms for Competitive Exams
One Word Substitution List
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Other Important Points of Vedic Maths
- Removes mathematics phobia
- Boost Accuracy
- Upgradation in exam aggregate
- Increases the level of creativity
- Develop and right brain.
- Time savior.
- Increases Concentration
- Reduces finger counting
- Reduces burden
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In this blog, we tried to help you with the Vedic Maths uses and its benefits. If you have any queries regarding Vedic Maths tricks and formulas, drop us a comment below.
If you find this article advantageous, you must let your friends know about this. So, spread this useful information with them and help them in preparing for the exams
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