Faster access than browser!Similarities between Group theory and Mathematics
Group theory and Mathematics have 45 things in common (in Unionpedia): Abstract algebra, Algebraic geometry, Algebraic topology, Algorithm, Axiom, Binary relation, Carl Friedrich Gauss, Chemistry, Combinatorics, Complex number, Continuous function, Cryptography, David Hilbert, Differential equation, Differential geometry, Euclidean geometry, Fermat's Last Theorem, Field (mathematics), Galois group, Galois theory, Geometry, Group (mathematics), Group theory, Hodge conjecture, Homeomorphism, Leonhard Euler, Lie group, Manifold, Mathematical analysis, Mathematical structure, ..., Millennium Prize Problems, Non-Euclidean geometry, Number theory, Operation (mathematics), Oxford University Press, Physics, Poincaré conjecture, Prime number, Projective geometry, Ring (mathematics), Springer Science+Business Media, Theoretical physics, Topological group, Turing machine, Vector space. Expand index (15 more) »
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
Abstract algebra and Group theory · Abstract algebra and Mathematics ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Algebraic geometry and Group theory · Algebraic geometry and Mathematics ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Group theory · Algebraic topology and Mathematics ·
Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
Algorithm and Group theory · Algorithm and Mathematics ·
Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
Axiom and Group theory · Axiom and Mathematics ·
Binary relation
In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.
Binary relation and Group theory · Binary relation and Mathematics ·
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
Carl Friedrich Gauss and Group theory · Carl Friedrich Gauss and Mathematics ·
Chemistry
Chemistry is the scientific discipline involved with compounds composed of atoms, i.e. elements, and molecules, i.e. combinations of atoms: their composition, structure, properties, behavior and the changes they undergo during a reaction with other compounds.
Chemistry and Group theory · Chemistry and Mathematics ·
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.
Combinatorics and Group theory · Combinatorics and Mathematics ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Group theory · Complex number and Mathematics ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Continuous function and Group theory · Continuous function and Mathematics ·
Cryptography
Cryptography or cryptology (from κρυπτός|translit.
Cryptography and Group theory · Cryptography and Mathematics ·
David Hilbert
David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.
David Hilbert and Group theory · David Hilbert and Mathematics ·
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
Differential equation and Group theory · Differential equation and Mathematics ·
Differential geometry
Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.
Differential geometry and Group theory · Differential geometry and Mathematics ·
Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
Euclidean geometry and Group theory · Euclidean geometry and Mathematics ·
Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than 2.
Fermat's Last Theorem and Group theory · Fermat's Last Theorem and Mathematics ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Field (mathematics) and Group theory · Field (mathematics) and Mathematics ·
Galois group
In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.
Galois group and Group theory · Galois group and Mathematics ·
Galois theory
In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.
Galois theory and Group theory · Galois theory and Mathematics ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Geometry and Group theory · Geometry and Mathematics ·
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
Group (mathematics) and Group theory · Group (mathematics) and Mathematics ·
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
Group theory and Group theory · Group theory and Mathematics ·
Hodge conjecture
In mathematics, the Hodge conjecture is a major unsolved problem in the field of algebraic geometry that relates the algebraic topology of a non-singular complex algebraic variety and the subvarieties of it.
Group theory and Hodge conjecture · Hodge conjecture and Mathematics ·
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
Group theory and Homeomorphism · Homeomorphism and Mathematics ·
Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
Group theory and Leonhard Euler · Leonhard Euler and Mathematics ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
Group theory and Lie group · Lie group and Mathematics ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Group theory and Manifold · Manifold and Mathematics ·
Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
Group theory and Mathematical analysis · Mathematical analysis and Mathematics ·
Mathematical structure
In mathematics, a structure on a set is an additional mathematical object that, in some manner, attaches (or relates) to that set to endow it with some additional meaning or significance.
Group theory and Mathematical structure · Mathematical structure and Mathematics ·
Millennium Prize Problems
The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000.
Group theory and Millennium Prize Problems · Mathematics and Millennium Prize Problems ·
Non-Euclidean geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.
Group theory and Non-Euclidean geometry · Mathematics and Non-Euclidean geometry ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Group theory and Number theory · Mathematics and Number theory ·
Operation (mathematics)
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
Group theory and Operation (mathematics) · Mathematics and Operation (mathematics) ·
Oxford University Press
Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.
Group theory and Oxford University Press · Mathematics and Oxford University Press ·
Physics
Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.
Group theory and Physics · Mathematics and Physics ·
Poincaré conjecture
In mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.
Group theory and Poincaré conjecture · Mathematics and Poincaré conjecture ·
Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
Group theory and Prime number · Mathematics and Prime number ·
Projective geometry
Projective geometry is a topic in mathematics.
Group theory and Projective geometry · Mathematics and Projective geometry ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Group theory and Ring (mathematics) · Mathematics and Ring (mathematics) ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Group theory and Springer Science+Business Media · Mathematics and Springer Science+Business Media ·
Theoretical physics
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.
Group theory and Theoretical physics · Mathematics and Theoretical physics ·
Topological group
In mathematics, a topological group is a group G together with a topology on G such that the group's binary operation and the group's inverse function are continuous functions with respect to the topology.
Group theory and Topological group · Mathematics and Topological group ·
Turing machine
A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.
Group theory and Turing machine · Mathematics and Turing machine ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Group theory and Vector space · Mathematics and Vector space ·
The list above answers the following questions
- What Group theory and Mathematics have in common
- What are the similarities between Group theory and Mathematics
Group theory and Mathematics Comparison
Group theory has 224 relations, while Mathematics has 321. As they have in common 45, the Jaccard index is 8.26% = 45 / (224 + 321).
References
This article shows the relationship between Group theory and Mathematics. To access each article from which the information was extracted, please visit:
