Indian mathematics

Finitude is the sole concept which pervades all walks of life; all regions of the world; all aspects of daily life and human society. It challenges our perceptions and potentially destroys dreams, making the viable inviable and even some difficulties impossibilities. Yet, are we truly confined to finitude for an infinitude of time, or is the universe an infinitude in which we, as a species, have yet to achieve our fullest potential? Jorge Luis Borges, in his short story “The Book of Sand”, provides

INTRODUCTION In this report I will discuss the Golden Ratio and the Fibonacci sequence .I will provide work done on the exercises and give data and information from the exercises. This report will be based on 3 exercises given to me : (1) Get Golden Ratio with derived Formula. (2) Get Golden Ratio using successive approximation technique. (3) Get Golden Ratio from Fibonacci series. [1]The Golden Ratio according to Hom.E(2013) “is a special number found by dividing a line into two parts so that

PI (π) One of the oldest and most commonly known and used concepts in mathematics is that of Pi (π). In the earliest of know human civilizations, people realized the importance of finding the exact value of π for practical reasons. Even by todays standards, we still only need to know the exact value of π to a few decimal place values, although that hasn’t stopped mathematicians from pursuing a more accurate representation for its value throughout time. The earliest know approximations for the

Calculus is the branch of mathematics that deals with rates of change and motion. It was developed because of the need to explain various natural occurrences within in the universe, such as the orbits of planets, and the effects of gravity. Today, calculus is the basic segment of science and engineering. Calculus allows physical laws to be expressed in mathematical terms. In science it is valuable in the further analysis of physical laws in predicting the behavior of physical laws, and in discovering

Contents: Page no. Rationale………………………………………………………………………………………………………….2 Personal Engagement………………………………………………………………………………………..3 Introduction ………………………………………………………………………………………………………3 Plan and Explanation…………………………………………………………………………………………...6 Analysis ……………………………………………………………………………………………………………….14 Painter’s Paradox …………………………………………………………………………………………………16 Conclusion ……………………………………………………………………………………………………………17

below the surface to understand how such a seemingly “small” iceberg could sink a such a huge ship. And just as any observer should look deeper in order to understand the sinking of the Titanic, I did the same with mathematics when I read Taming the Infinite: The story of mathematics from the first numbers to chaos theory. Never before had I even considered the ideas discussed in the book written by Ian Stewart. What I found within ruptured a mental hull in brain, allowing the history of math to

One of the oldest and most commonly known and used concepts in mathematics is that of Pi (π). In the earliest of know human civilizations, people realized the importance of finding the exact value of π for practical reasons. Even by todays standards, we still only need to know the exact value of π to a few decimal place values, although that hasn’t stopped mathematicians from pursuing a more accurate representation for its value throughout time. The earliest know approximations for the value

Contribution of India in mathematics The most fundamental contribution of India in mathematics is the invention of decimal system of enumeration, including the invention of zero. The decimal system uses nine digits (1 to 9) and the symbol zero (for nothing) to denote all natural numbers by assigning a place value to the digits. The Arabs carried this system to Africa and Europe. 1) Aryabhata is the first well known Indian mathematician. Born in Kerala, he completed his studies at the university

The Life of Ramanujan based on Joseph Campbell’s model of analysis Srinivasa Ramanujan was one the greatest mathematicians in India. With no formal training in pure mathematics, he made significant contributions to the analytical theory of numbers and made an outbreak in continued fractions, elliptical functions and infinite series. He is deeply religious and credits his mathematical capacities to divinity. He once told his friend, “An equation for me has no meaning, unless it expresses a thought

Like each other part of human advancement, mathematics has its own particular birthplace focused around the needs of humanity in searching for understanding. Mathematics emerged from the necessity to quantify time and number. The earliest evidence of counting occurred in mountains of Africa were notched bones and scored pieces of wood and stone were discovered. As human advancements started to surface in Asia and the near east, frameworks and essential appreciation of arithmetic, geometry and polynomial