Book Review: Indian Mathematics

Review of the Book 'Indian Mathematics'

The origin of Indian mathematics, like the mathematics of other ancient peoples, is based on the actual needs of production. However, there is also a special factor in the development of Indian mathematics, that is, its mathematics, like the calendar, is fully developed under the influence of the Brahmin ritual. Coupled with the exchange of Buddhism and trade, Indian mathematics and the Near East, especially Chinese mathematics, are advancing with each other and promoting each other. In addition, the development of Indian mathematics has always been closely related to astronomy, and most of the mathematical works are published in certain chapters in astronomical works.

 

Book name:    Indian Mathematics

Author:    Yu Lei

Publishing house:    Jilin Science and Technology Press

Date of publish:    2015

Framing:    Paperback

 

Table of Contents

    1 Jilin Science Publishing

    2 Content recommendation

    3 Author

    4 History

    5 Calculation method

    ▪ Checking method

    ▪ Simple calculation

    6 Three important periods

 

Science Publishing

Title: Indian Mathematics

    Publisher: Jilin Science and Technology Press

    Publication time: 2015

    ISBN: 978-7-5384-8531-8

    Abstract: This book summarizes dozens of Indian secret calculation methods that have influenced the world for thousands of years, including square, cubic, square root, cubic root, equations, and mysterious and peculiar hand algorithms and verification algorithms.

 

Content recommendation

85 × 85 =? Can you instantly calculate the answer to this math problem?

After studying the calculation method of Indian Vedic Mathematics taught in this book, you can give the answer in 2 seconds. Maybe you will be surprised, "Is this math or magic?" But, it really is so magical!

The founder of Indian Vedic Mathematics, Balati Krishna Dileti, studied the ancient Vedic scriptures of India from 1911 to 1918, and reconstructed and spread the mathematical calculation system on this basis.

To all parts of the world Vedic mathematics is 10 to 15 times faster than ordinary calculation methods. Its structure is coherent, perfect, accurate and easy to calculate.

After understanding the laws of Vedic mathematics, you can create your own problem-solving methods, and you can also apply it to modern mathematics-algebra, geometry, trigonometric functions, calculus and other subjects.

This book uses two-digit arithmetic as an example to explain, it can be described as an introduction to Vedic mathematics. Spend ten minutes a day doing practice questions and memorizing these simple and magical rules, which will become the basis for proficient calculations in the future. It will also make you the coolest mathematician.

Author: Balati Krishna Dileti

Swami Bharati Krishna Tirthaji

From 1911 to 1918, Balati Krishna Dileti studied the ancient Vedic scriptures of India, and on this basis, he reconstructed the mathematical calculation system and spread it to all parts of the world after success. This became a well-known Indian scholar and mathematician.

In Krishna? Dileti's research, mathematics is based on 16 verses. In the 1960s, he introduced this mathematical computing system to the United Kingdom. At that time, this computing system attracted attention as a non-mainstream mathematical system. It was called "Balati? Krishna? Dileti Vedic Mathematics ".

History

The Rope Sutra is an ancient Brahman classic, probably written in the 6th century BC. It is a meaningful religious work in the history of mathematics. It includes the geometrical rules embodied in the design of the altar by pulling rope, and it is widely used Pythagorean theorem.

For about 1,000 years thereafter, little was known about the development of mathematics due to the lack of reliable historical data.

The 5-12th century AD was a period of rapid development of Indian mathematics, and its achievements played an important role in the history of mathematics in the world. During this period, some famous scholars appeared, such as the 6th-century Aliyado (first) (ryabhata), author of the "Aliyabhatari Almanac".

The 7th-century Brahmagupta (Brahmagupta), the author of "Brahma "Brahma-sphuta-sidd'h nta", in this astronomical work, including "Lecture on arithmetic" and "Lecture on indefinite equations".

9th century Mah vira; 12th century Bh skara (Bh skara), author of "Siddh nta iromani", the important parts of mathematics are "Lil vati" and "The Origin of Algorithms" V jaganita) etc.

In India, the decimal notation of integers was produced before the 6th century. With 9 digits and a small circle representing zero, any number can be written with the aid of place value system. They thus established arithmetic operations, including the four arithmetic rules of integers and fractions

The law of square roots and cubes. For "zero", they not only regarded it as "nothing" or a vacancy, but also used it as a number to participate in the calculation, which is a major contribution of Indian arithmetic.

The set of numbers and place-value notation created by the Indians was introduced into the Islamic world in the 8th century and was adopted and improved by the Arabs.

In the early 13th century, Fibonacci's "Abacus Book" spread to Europe, and gradually evolved into 1, 2, 3, 4, ... and so on, which are widely used today, and are called Indian-Arabic digital.

India has made significant contributions to algebra. They use symbols to perform algebraic operations, and use abbreviated text to represent unknowns. They admit negative and irrational numbers, have a specific description of the four arithmetic rules of negative numbers, and realize that there are two forms of roots for quadratic equations with real solutions.

Indians have shown excellent ability in indefinite analysis. They are not satisfied with seeking any one of an indefinite equation and are committed to finding all possible integer solutions.

Indians have also calculated the sum of arithmetic and geometric series, and solved commercial problems such as simple and compound interest, discounts, and joint stocks.

The geometry of the Indians is based on experience. They do not pursue logically rigorous proofs. They only focus on the development of practical methods, which are generally related to measurement and focus on the calculation of area and volume. Their contribution is far less than their contribution in arithmetic and algebra.

In terms of trigonometry, the Indians replaced the Greeks' full strings with half strings (that is, sines), made sine tables, and also proved some simple trigonometric identities and so on. Their research in trigonometry is very important.

Calculation method

Checking method

1.12 + 12 = 24

Formula: 1.N (12) + N (12) = A (1 + 2) + B (1 + 2) = N (3) + N (3) = N (6)

2.N (24) = N (2 + 4) = N (6)

3.1 and 2 are the same, so correct

Note: This method does not apply to division.

This method is used for both subtraction and multiplication.

Simple calculation

1.11 times any number

2. Multiplication of 5 in both multipliers

3. The ten digits of the multiplier are the same, and the addition of the two digits is a multiplication of 10.

4. Multiplication between two multipliers between 100 -110

Three important periods

The development of mathematics in Indian mathematics can be divided into three important periods. The first is the period of the Dharuvites before the Aryan invasion, which is called the valley culture in history. Then the Vedic period. The second is the Sitan period. Since the hieroglyphics of the valley culture cannot be interpreted so far, little is known about the actual situation of Indian mathematics during this period.