Mathematics
Area of knowledge that includes such topics as numbers , formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).
- Mathematics500 related topics
Science
Systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
Systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
Their contributions to mathematics, astronomy, and medicine entered and shaped Greek natural philosophy of classical antiquity, whereby formal attempts were made to provide explanations of events in the physical world based on natural causes.
Algebra
Quadratic formula.svg expresses the solution of the equation
Quadratic formula.svg expresses the solution of the equation
Algebra is one of the broad areas of mathematics.
Applied mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry.
Pure mathematics
Pure mathematics is the study of mathematical concepts independently of any application outside mathematics.
History of mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past.
Natural science
One of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation.
One of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation.
As empirical sciences, natural sciences use tools from the formal sciences, such as mathematics and logic, converting information about nature into measurements which can be explained as clear statements of the "laws of nature".
Euclid
Not to be confused with Euclid of Megara.
Not to be confused with Euclid of Megara.
His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century.
Euclid's Elements
The Elements ( Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. undefined 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
Integer factorization
Decomposition of a composite number into a product of smaller integers.
Decomposition of a composite number into a product of smaller integers.
Many areas of mathematics and computer science have been brought to bear on the problem, including elliptic curves, algebraic number theory, and quantum computing.