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Mathematics is a field of study that discovers and organizes methods, theories and theorems for various sciences and mathematics itself. It involves the description and manipulation of abstract objects using pure reason and proofs, and has many areas such as number theory, geometry, algebra, calculus, and set theory.
This web page provides a comprehensive overview of various mathematical problems that have not been solved yet, ranging from algebra to topology. It also includes lists of unsolved problems proposed by different mathematicians and organizations, such as the Millennium Prize Problems and the Clay Mathematics Institute.
Algebra is the branch of mathematics that studies abstract systems and operations. Learn about its origin, development, and major branches, such as elementary, linear, abstract, and universal algebra.
Calculus is the mathematical study of continuous change, developed by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century. The article traces the origins and precursors of calculus in ancient Egypt, Greece, China, India, and medieval Europe.
The Fibonacci sequence is a sequence of numbers where each number is the sum of the two preceding ones. Learn how it was first described in Indian mathematics and introduced to Western Europe by Fibonacci, and how it relates to the golden ratio and other topics.
Problem-based learning (PBL) is a teaching method that involves students solving open-ended problems to learn about a subject. PBL aims to develop skills such as critical thinking, collaboration and lifelong learning, and has been applied to various fields of education.
In mathematics, and in particular linear algebra, the Moore–Penrose inverse + of a matrix , often called the pseudoinverse, is the most widely known generalization of the inverse matrix. [1] It was independently described by E. H. Moore in 1920, [2] Arne Bjerhammar in 1951, [3] and Roger Penrose in 1955. [4]
A number is a mathematical object used to count, measure, and label. Learn about the origin and evolution of numbers, the different numeral systems and number systems, and the properties and applications of numbers in mathematics.
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