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Aryabhatta
Aryabhatta was a mathematician and astronomer who lives from 476 to 550 AD in India. He has many celebrated achievements to his credit.
Cauchy Complete Sets
The terms of a sequence may get very close to each other, but it may not actually converge. Sets in which such sequences always converge are called Cauchy complete sets.
The Cardinality of Sets
The cardinality of a set is an idea stemming from the idea of functions. The concept of a number comes from here.
Differential Equations for Dummies
Are there any "dummies" interested in differential equations? Touted as a "Reference for the Rest of Us," this book really isn't for anyone.
Modular Mathematics and Group Theory
Just as numbers form groups under operations like addition and multiplication, they form special kinds of groups under modular addition and multiplication.
The Fermat Prize for Mathematical Research
Elon Lindenstrauss and Cédric Villani have been jointly awarded the Fermat Prize for 2009. The prize recognizes research in areas which were of interest to Fermat.
Permutations and Permutation Groups
A permutation is a rearrangement of a set of objects. All permutations on a given set form a group under composition.
Rubik's Cube and Group Theory
The set of all moves on Rubik's cube forms a group, under composition of moves.
Introduction to Group Theory
Groups are an interesting area of study in algebra, and find applications in other areas of mathematics, computer science, and other fields.
Relations, Functions and Operations
The concepts of relations, functions and operations are a starting point in the understanding of various concepts in algebra, analysis and other areas of mathematics.
Metric Spaces
A metric space is a set, together with a distance function defined on it, satisfying certain properties.
Transcendental Numbers
Transcendental numbers are numbers, possibly complex, that cannot be expressed as the roots of polynomial equations with integer coefficients.
The Evolution and Completeness of Number Systems
Number systems have been developed and extended over a long period of time, with the gaps in each system paving the path to a new one.
Introduction to Series
A series, in mathematics, is the sum of the terms of an underlying sequence.
Fermat's Little Theorem and RSA Cryptography
Pierre de Fermat's "Little Theorem" lies at the base of the RSA cryptographic algorithm.
Countable Sets and Uncountable Sets
A set is said to be countable if all its elements can be listed in the form of a sequence.
Srinivasa Ramanujan - A Biography
Born in a poor family in a south Indian village, Ramanujan greatly influenced the world of mathematics, in spite of his lack of formal education.
Introduction to Sequences
A sequence is a function from the set of natural numbers to any given set.
Michael Green and the Lucasian Chair
Michael Green, theoretical physicist, succeeds the likes of Sir Isaac Newton, Charles Babbage and Paul Dirac to become the next Lucasian Professor at Cambridge.
Women in Mathematics
Until not too long ago, women were discouraged from studying science and mathematics. Even so, there were a select few who held their own and made their mark.
The Beal Conjecture
The Beal Conjecture is an interesting number theoretic problem that came about as a by-product of Andrew Beal's work on Fermat's Last Theorem.
Russell's Paradox
Mathematical statements are either true or false. When they are neither, they remind mathematicians to formulate their theories more accurately.
Pythagoras' Theorem
Pythagoras' Theorem is a profound result that has allowed mathematicians to cut corners for centuries, and is surely among the greatest in all mathematics.
A Brief Overview of Pi
Both a mathematical constant and an irrational value, the quest to find pi has absorbed mathematicians' minds for millennia.
Binary, Octal, and Hexadecimal Number Systems
Computers store data using binary numbers. Binary numbers take up space to write down, so the octal and hexadecimal number systems are used to abbreviate them.