mathemeticans

Study Notes

Born on December 22, 1887, in Erode, India into a modest family.
Displayed extraordinary mathematical aptitude from a young age with limited formal education.
Self-taught; studied under local mathematicians and developed his own theories.
Gained recognition at age 25 by sending work to G.H. Hardy at Cambridge University, leading to a pivotal partnership.
Made groundbreaking contributions in number theory, continued fractions, and infinite series.
Developed properties of prime numbers, modular forms, and partition functions, introducing novel ideas.
Created the Ramanujan-Hardy number known for its intriguing properties.
Revolutionized the understanding of π with the Ramanujan series for infinite series.
Innovative approaches led to the emergence of new mathematical research branches.
His work is visually represented with interactive graphics showcasing its complexity and beauty.

Born around 780 CE in Khwarezm (now Uzbekistan) and moved to Baghdad during his youth.
Joined the House of Wisdom in Baghdad, a center for scholars to study and translate texts.
His exposure to Greek, Persian, and Indian ideas significantly influenced his mathematical contributions.
"Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala" formalized algebra, establishing systematic methods for solving equations.
His work led to the emergence of the term "algorithm," highlighting his influence on arithmetic with Hindu-Arabic numerals.
Made significant advances in trigonometry by compiling tables for sine and cosine functions, aiding astronomy and navigation.
Developed crucial techniques for solving equations and performing calculations, influencing the refinement of mathematical methods.

Born on April 15, 1707, in Basel, Switzerland; son of a pastor.
Demonstrated early talent in mathematics, encouraged by his father to pursue education at the University of Basel.
By age 16, had already made notable progress in mathematics.
Moved to St. Petersburg, Russia, to work at the Academy of Sciences, becoming a leading figure in mathematics.
Introduced vital notations, including "e" for natural logarithms and "i" for imaginary numbers.
Made groundbreaking contributions across calculus, graph theory, and number theory.
Euler's formula, ( e^{ix} = \cos(x) + i\sin(x) ), links exponential functions with trigonometric functions.
Created Euler's identity, celebrated for its mathematical elegance, often cited for its beauty.
His discoveries and notational systems have become essential tools in various branches of mathematics.