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Khan Academy

Watch short videos explaining a range of mathematical concepts.

10 Mathematical Equations that Changed the World

10 Most Important Numbers in the World

Wolfram MathWorld


Australian Mathematical Society

Useful Web Sites

  • Coolmath
    The most popular educational website in the U.S.A.
  • Plus magazine
    Plus is an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics.
  • HSC Online Mathematics
    Exam material and other maths resources to help you succeed in your HSC. A Charles Sturt University initiative developed in collaboration with the NSW BOS.
    QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. Great homework helper.
  • Web Math
    Webmath is a maths help website that generates answers to specific math questions and problems. It also shows the student how to arrive at the answer.
  • Purplemath
    A helpful algebra site developed by a teacher with a Masters in mathematics.

How to Prove a Mathematical Theory: Scott Kennedy

How Algorithms Shape our World


TigTag is a collection of maths video clips and associated activities on a range of topics for the primary school.

Books in our Library on Maths

A Clever Way to Estimate Enormous Numbers

Fiction about Maths

Picture Books on Maths

Famous Mathematicians

Albert Einstein (1879-1955)
Nationality: German, American
Famous For: E=m*c2
Albert Einstein excelled in mathematics early in his childhood. He liked to study math on his own. He was once quoted as saying, “I never failed in mathematics…before I was fifteen I had mastered differential integral calculus.”
Sir_Isaac_Newton_by_Sir_Godfrey_KnellerIsaac Newton (1642-1727)
Nationality: English
Famous For:Mathematical Principles of Natural Philosophy 
The book of Sir Isaac Newton,Mathematical Principles of Natural Philosophy, became the catalyst to understanding mechanics. He is also the person credited for the development of the binomial theorem.
Fibonacci-leonardo-pisano-bigolloLeonardo Pisano Bigollo (1170-1250)
Nationality: Italian
Famous For: Fibonacci sequence
Heralded as “the most talented western mathematician of the middle ages,” Leonardo Pisano Bigollo is better known as Fibonacci. He introduced the Arabic-Hindu number system to the western world. In his book, Liber Abaci(Book of Calculation), he included a sequence of numbers that are known today as “Fibonacci numbers.”
ThalesThales (c. 624 – c.547/546 BC)
Nationality: Greek
Famous For: Father of science & Thales’ theorem
Thales used principles of mathematics, specifically geometry, to solve everyday problems. He is considered as the “first true mathematician”. His deductive reasoning principles are applied in geometry that is a product of “Thales’ Theorem.”
PythagorasPythagoras (c. 570 – c. 495 BC)
Nationality: Greek
Famous For: Pythagorean theorem
Pythagoras is best known in mathematics for the Pythagorean Theorem.
DescartesRené Descartes (1596-1650)
Nationality: French
Famous For: Cartesian coordinate system
The “Cartesian coordinate system” in mathematics is named after Rene Descartes. As a mathematician, he is seen as the father of analytical geometry in addition to explaining “infinitesimal calculus and analysis.”
Archimedes_1620Archimedes (c. 287 – c. 212 BC)
Nationality: Greek
Famous For: Greatest mathematician of antiquity
Archimedes provided principles and methods used in mathematics today. He provided the exact numerical value of pi, developed a system for large numbers to be expressed, and the method of exhaustion.
John_forbes_nashJohn Forbes Nash, Jr. (1928)
Nationality: American
Famous For: Nash embedding theorem
The work of American mathematician John Nash includes studies in differential geometry, game theory, and partial differential equations. He is best known for the Nash embedding theorem. His work in algebraic geometry is also seen as milestone in mathematics.
Blaise_PascalBlaise Pascal (1623-1662)
Nationality: French
Famous For: Pascal’s Triangle
Pascal is recognized for two mathematical areas of study, projective geometry and probability theory. He describes in his paper,Treatise on the Arithmetical Triangle, an easy to understand table of “binomial coefficients” known as Pascal’s Triangle
Euclid-in-School-of-AthensEuclid (c. 365 – c. 275 BC)
Nationality: Greek
Famous For: Father of geometry
The earliest known “math books” is one written by Greek mathematician Euclid, Elements is its title. It serve as a textbook to teach geometry and mathematics. His mathematical system is known as “Euclidean geometry.”
aryabhattaAryabhata (c. 476 – c. 550)
Nationality: Indian
Famous For: Writing Āryabhaṭīya and the Arya-siddhanta
Indian mathematician Aryabhatta’s contribution include his work on providing an approximate value to pi. He likewise touched on the concepts of sine, cosine, and the place-value system.
Ptolemy_16th-centuryPtolemy (c. 90 – c. 168 AD)
Nationality: Greco-Roman
Famous For: Almagest
Ptolemy was a mathematician of the highest order. In his book Almagest, or The Mathematical Compilation, Ptolemy provides mathematical theories related to the solar system.
Ada_lovelaceAda Lovelace (1815-1852)
Nationality: English
Famous For: Work on the Analytical Engine
English mathematician Ada Lovelace is recognized as the worlds first computer programmer. Her mathematical skills were evident at an early age. As part of her work, she produced a mathematical algorithm that would be later used in computers.
Alan_TuringAlan Turing (1912-1954)
Nationality: British
Famous For: Father of computer science
Turing’s fame as a mathematician can be attributed to his formulating of algorithms and computations for a computer, the Turing Machine. His mathematical background helped device techniques in code breaking, specifically in world war 2. In 1948 Turing became interested in mathematical biology.
Srinivasa_RamanujanSrinivasa Ramanujan (1887-1920)
Nationality: Indian
Famous For: Landau-Ramanujan constant
Ramanujan was a genius in mathematics. He helped expand mathematical theory, particularly in continued fractions, infinite series, mathematical analysis, and number theory. He conducted mathematical research in seclusion.
benjamin_bannekerBenjamin Banneker (1731-1806)
Nationality: African American
Famous For: Calculating a solar eclipse
Benjamin Banneker was a self-taught mathematician. He used his mathematical skills to predict an eclipse and the seventeen-year cycle of locusts.
At_the_Tomb_of_Omar_Khayyam_-_by_Jay_HambidgeOmar Khayyám (1048-1131)
Nationality: Persian
Famous For: Treatise on Demonstration of Problems of Algebra
Omar Khayyam wrote one of the most important books in mathematics, Treatise on Demonstration of Problems of Algebra from which most algebraic principles have been drawn from. In the area of geometry, Khayyam worked on the “theory of proportions.”
EratosthenesEratosthenes (276 – 194 BC)
Nationality: Greek
Famous For: Sieve of Eratosthenes
Eratosthenes provided the concept of a simple algorithm as a way to locate prime numbers. The Sieve of Eratosthenes that has been used to find prime numbers.
John-Von-NeumannJohn von Neumann (1903-1957)
Nationality: Hungarian
Famous For: Operator theory and quantum mechanics
The mathematical evaluation of self-replication by John von Neumann came before the DNA model was introduced. Other mathematical subjects he tackled include the “mathematical formulation of quantum mechanics”, “game theory,” mathematical statistics and mathematical economics. His contribution to the study of the “operator theory” is equally important.
Pierre_de_FermatPierre de Fermat (1601-1665)
Nationality: French
Famous For: Fermat’s Last Theorem
As an amateur mathematician, de Fermat is given recognition for his work that has led to infinitesimal calculus. He applied the use of “adequality” in explaining his mathematical constructs. De Fermat’s also contributed to the math fields of analytic geometry, differential calculus, and number theory.
John_Napier_(Neper)John Napier (1550-1617)
Nationality: Scottish
Famous For: Inventing “logarithms”
John Napier is responsible for manufacturing logarithms. It was also he who applied the everyday use of the decimal point in mathematics and arithmetic. Napier’s bones was an abacus created by John. The device was used mainly for multiplication problems.
Gottfried-Wilhelm-LeibnizGottfried Wilhelm Leibniz (1646-1716)
Nationality: German
Famous For: Infinitesimal calculus
The work of Leibniz on infinitesimal calculus was one completely separate from Isaac Newton. His mathematical notation continues to be in use. He also proposed the mathematical principle known as the Transcendental Law of Homogeneity. His refining of the binary system has become foundational in mathematics.
Andrew_WilesAndrew Wiles (1953)
Nationality: Proving “Fermat’s Last Theorem”
Famous For: British
Andrew Wiles was successful in proving “Fermat’s Last Theorem”. He also used the “Iwasawa theory” to identify elliptic curves using its complex multiplication system. Wiles, with a colleague, worked on rational numbers under the “Iwasawa theory”.
David-HilbertDavid Hilbert (1862-1943)
Nationality: German
Famous For: Hilbert’s basis theorem
In cumulative algebra, the use of “Hilbert’s basis theory” has produced varying results. David Hilbert explored and improved on ideas such as “axiomatization of geometry” and the “invariant theory.” Functional analysis, a branch of mathematical analysis, is based on the formulation of “Hilbert’s spaces theory.”
daniel-bernoulliDaniel Bernoulli (1700-1782)
Nationality: Swiss
Famous For: Bernoulli principle
Hydrodynamica by Daniel Bernoulli was a book that touched on mathematical principles applied in other sciences.
Luca-PacioliLuca Pacioli (1445-1517)
Nationality: Italian
Famous For: Father of accounting
Fifteenth century friar and mathematician Luca Pacioli developed an accounting or bookkeeping methods that are still in use today. Because of this, Pacioli is viewed by many as the “father of accounting.”
Georg-CantorGeorg Cantor (1845-1918)
Nationality: German
Famous For: Inventor of set theory
One of the basic theories in mathematics is the set theory, thanks to the work of Georg Cantor. He helped define the importance of the “one-to-one correspondence” principle as well as introduce cardinal and ordinal numbers.
George-BooleGeorge Boole (1815-1864)
Nationality: English
Famous For: Boolean algebra
George Boole and his ideas on mathematics were in the field of algebraic logic and differential equations. He is the source of what is known as “Boolean logic” in algebra. This and other mathematical concepts are part of his bookThe Laws of Thought.
Évariste-GaloisÉvariste Galois (1811-1832)
Nationality: French
Famous For: Theory of Equations
Galois worked on abstract algebra and the theory of equations. He also set forth a solution to the polynomial equation which is know as the “Galois theory.”
Sophie-GermainSophie Germain (1776-1831)
Nationality: French
Famous For: Sophie Germain prime numbers
Sophie Germain worked extensively in the mathematical field of number theory and differential geometry. She helped lay possible solutions to “Ferrats Last Theorem.” Sophie’s work with number theory earned her recognition and having numbers named after her, “Sophie Germain prime.”
Emmy-NoetherEmmy Noether (1882-1935)
Nationality: German
Famous For: Abstract algebra
Emmy Noether and her work on abstract algebra makes her one of the most important mathematicians of her time. She introduced theories on algebraic variants and number fields. In Noether’s paper, Theory of Ideals in Ring Domains, she presented her ideas on the “commutative ring”, an abstract algebra sub area.
Edward-WittenEdward Witten (1951)
Nationality: American
Famous For: String theory
Edward Witten specialized in the field of mathematical physics. He brought together math concepts and basic physics.