111 relations: Alexander polynomial, American Mathematical Society, Angel problem, ATLAS of Finite Groups, Backgammon, BBC News Online, Berwick Prize, Cellular automaton, Chaim Goodman-Strauss, Charles Seife, Chen Jingrun, Classification of finite simple groups, Coding theory, Colm Mulcahy, Combinatorial game theory, Complex analysis, Continuous function, Converse (logic), Conway base 13 function, Conway chained arrow notation, Conway criterion, Conway group, Conway notation (knot theory), Conway polyhedron notation, Conway's Game of Life, Conway's Soldiers, Darboux's theorem (analysis), Determination of the day of the week, Discover (magazine), Donald Knuth, Doomsday rule, Edward Waring, Elwyn Berlekamp, Fellow of the Royal Society, Finite group, Finite-state machine, Free will, Free will theorem, Gathering 4 Gardner, Gonville and Caius College, Cambridge, Grand antiprism, Hackenbush, Harold Davenport, Hidden variable theory, Icosian, Intermediate value theorem, J-invariant, John McKay (mathematician), John von Neumann, Knot polynomial, ..., Knot theory, Large numbers, Leech lattice, Leroy P. Steele Prize, List of finite simple groups, List of Martin Gardner Mathematical Games columns, Liverpool, Look-and-say sequence, Marcus du Sautoy, Margaret Boden, Mark Ronan, Martin Gardner, Mathematical Tripos, Mathematics, Mathematics Magazine, Mathieu group M12, Mathieu groupoid, MathWorld, Michael Guy, Michael Harris (mathematician), Monster group, Monstrous moonshine, Nature (journal), Neil Sloane, Nemmers Prize in Mathematics, New Jersey, Number theory, Octonion, On Numbers and Games, Partisan game, Pólya Prize (LMS), Peg solitaire, Phutball, Polyhedron, Princeton University, Quantum mechanics, Quaternion, Recreational mathematics, Richard A. Parker, Richard Borcherds, Richard K. Guy, Robert Arnott Wilson, Scientific American, Simon B. Kochen, Simon P. Norton, Society for Industrial and Applied Mathematics, Soma cube, Sporadic group, Sprouts (game), String theory, Surreal number, Tangle (mathematics), The Guardian, The Sciences, Turing completeness, Uniform 4-polytope, Waring's problem, Wiki, Winning Ways for your Mathematical Plays, Wythoff construction, 4-polytope. Expand index (61 more) » « Shrink index
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
The angel problem is a question in combinatorial game theory proposed by John Horton Conway.
The ATLAS of Finite Groups, often simply known as the ATLAS, is a group theory book by John Horton Conway, Robert Turner Curtis, Simon Phillips Norton, Richard Alan Parker and Robert Arnott Wilson (with computational assistance from J. G. Thackray), published in December 1985 by Oxford University Press and reprinted with corrections in 2003.
Backgammon is one of the oldest known board games.
BBC News Online is the website of BBC News, the division of the BBC responsible for newsgathering and production.
The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS.
A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model studied in computer science, mathematics, physics, complexity science, theoretical biology and microstructure modeling.
Chaim Goodman-Strauss (born June 1967 in Austin TX) is an American mathematician who works in convex geometry, especially aperiodic tiling.
Charles Seife is an American author and journalist, a professor at New York University.
Chen Jingrun (May 22, 1933 – March 19, 1996) was a Chinese mathematician who made significant contributions to number theory.
In mathematics, the classification of the finite simple groups is a theorem stating that every finite simple group belongs to one of four broad classes described below.
Coding theory is the study of the properties of codes and their respective fitness for specific applications.
Colm Mulcahy (born September 1958) is an Irish mathematician, academic, columnist, book author, public outreach speaker, and amateur magician, long on the faculty of Spelman College.
Combinatorial game theory (CGT) is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information.
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
In logic, the converse of a categorical or implicational statement is the result of reversing its two parts.
The Conway base 13 function is a function created by British mathematician John H. Conway as a counterexample to the converse of the intermediate value theorem.
Conway chained arrow notation, created by mathematician John Horton Conway, is a means of expressing certain extremely large numbers.
In the mathematical theory of tessellations, the Conway criterion, named for the English mathematician John Horton Conway, describes rules for when a prototile will tile the plane; it consists of the following requirements: The tile must be a closed topological disk with six consecutive points A, B, C, D, E, and F on the boundary such that.
In the area of modern algebra known as group theory, the Conway groups are the three sporadic simple groups Co1, Co2 and Co3 along with the related finite group Co0 introduced by.
In knot theory, Conway notation, invented by John Horton Conway, is a way of describing knots that makes many of their properties clear.
In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.
The Game of Life, also known simply as Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970.
Conway's Soldiers or the checker-jumping problem is a one-person mathematical game or puzzle devised and analyzed by mathematician John Horton Conway in 1961.
In mathematics, Darboux's theorem is a theorem in real analysis, named after Jean Gaston Darboux.
The determination of the day of the week for any date may be performed with a variety of algorithms.
Discover is an American general audience science magazine launched in October 1980 by Time Inc.
Donald Ervin Knuth (born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University.
The Doomsday rule is an algorithm of determination of the day of the week for a given date.
Edward Waring (15 August 1798) was a British mathematician.
Elwyn Ralph Berlekamp (born September 6, 1940) is an American mathematician.
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted to individuals that the Royal Society judges to have made a "substantial contribution to the improvement of natural knowledge, including mathematics, engineering science and medical science".
In abstract algebra, a finite group is a mathematical group with a finite number of elements.
A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of computation.
Free will is the ability to choose between different possible courses of action unimpeded.
The free will theorem of John H. Conway and Simon B. Kochen states that if we have a free will in the sense that our choices are not a function of the past, then, subject to certain assumptions, so must some elementary particles.
Gathering 4 Gardner (G4G) is an educational foundation and non-profit corporation (Gathering 4 Gardner, Inc.) devoted to preserving the legacy and spirit of prolific writer Martin Gardner.
Gonville & Caius College (often referred to simply as Caius) is a constituent college of the University of Cambridge in Cambridge, England.
In geometry, the grand antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimensional uniform polytope) bounded by 320 cells: 20 pentagonal antiprisms, and 300 tetrahedra.
Hackenbush is a two-player game invented by mathematician John Horton Conway.
Harold Davenport FRS (30 October 1907 – 9 June 1969) was an English mathematician, known for his extensive work in number theory.
In physics, hidden variable theories are held by some physicists who argue that the state of a physical system, as formulated by quantum mechanics, does not give a complete description for the system; i.e., that quantum mechanics is ultimately incomplete, and that a complete theory would provide descriptive categories to account for all observable behavior and thus avoid any indeterminism.
In mathematics, the icosians are a specific set of Hamiltonian quaternions with the same symmetry as the 600-cell.
In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval,, as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval.
In mathematics, Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for defined on the upper half-plane of complex numbers.
John McKay (born 16 June 1939, Kent) is a dual British/Canadian citizen, a mathematician at Concordia University, known for his discovery of monstrous moonshine, his joint construction of some sporadic simple groups, for the McKay (McKay-Alperin) conjecture in representation theory, and for the McKay correspondence relating certain finite groups to Lie groups.
John von Neumann (Neumann János Lajos,; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, and polymath.
In the mathematical field of knot theory, a knot polynomial is a knot invariant in the form of a polynomial whose coefficients encode some of the properties of a given knot.
In topology, knot theory is the study of mathematical knots.
Large numbers are numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions.
In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, which is one of the best models for the kissing number problem.
The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one of 26 sporadic groups.
Over a period of 24 years (January 1957 – December 1980), Martin Gardner wrote 288 consecutive "Mathematical Games" columns for Scientific American magazine.
Liverpool is a city in North West England, with an estimated population of 491,500 in 2017.
In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the same digit.
Marcus Peter Francis du Sautoy (born 26 August 1965) is a British mathematician, author, and populariser of science and mathematics.
Margaret Ann Boden, OBE, ScD, FBA (born 26 November 1936) is research professor of cognitive science at the department of informatics at the University of Sussex, where her work embraces the fields of artificial intelligence, psychology, philosophy, cognitive and computer science.
Mark Andrew Ronan (born 1947) is Emeritus Professor of Mathematics at the University of Illinois at Chicago and Honorary Professor of Mathematics at University College London.
Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer, with interests also encompassing scientific skepticism, micromagic, philosophy, religion, and literature—especially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton.
The Mathematical Tripos is the mathematics course that is taught in the Faculty of Mathematics at the University of Cambridge.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.
In the area of modern algebra known as group theory, the Mathieu group M12 is a sporadic simple group of order.
In mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12.
MathWorld is an online mathematics reference work, created and largely written by Eric W. Weisstein.
Michael J. T. Guy (born c.1942) is a British computer scientist and mathematician.
Michael Howard Harris (born 1954) is an American mathematician who deals with number theory and algebra.
In the area of modern algebra known as group theory, the Monster group M (also known as the Fischer–Griess Monster, or the Friendly Giant) is the largest sporadic simple group, having order The finite simple groups have been completely classified.
In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular, the ''j'' function.
Nature is a British multidisciplinary scientific journal, first published on 4 November 1869.
Neil James Alexander Sloane (born October 10, 1939) is a British-American mathematician.
The Frederic Esser Nemmers Prize in Mathematics is awarded biennially from Northwestern University.
New Jersey is a state in the Mid-Atlantic region of the Northeastern United States.
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.
On Numbers and Games is a mathematics book by John Horton Conway first published in 1976.
In combinatorial game theory, a game is partisan if it is not impartial.
The Pólya Prize is a prize in mathematics, awarded by the London Mathematical Society.
Peg solitaire (or Solo Noble) is a board game for one player involving movement of pegs on a board with holes.
Phutball (short for Philosopher's Football) is a two-player strategy board game described in Elwyn Berlekamp, John Horton Conway, and Richard K. Guy's Winning Ways for your Mathematical Plays.
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
Princeton University is a private Ivy League research university in Princeton, New Jersey.
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
In mathematics, the quaternions are a number system that extends the complex numbers.
Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity.
Richard A. Parker (born 29 January 1953, in Surrey) is a mathematician and freelance computer programmer in Cambridge, England.
Richard Ewen Borcherds (born 29 November 1959) is a British-American mathematician currently working in quantum field theory.
Richard Kenneth Guy (born 30 September 1916) is a British mathematician, professor emeritus in the Department of Mathematics at the University of Calgary.
Robert Arnott Wilson (born 1958) is a retired mathematician in London, England, who is best known for his work on classifying the maximal subgroups of finite simple groups and for the work in the Monster group.
Scientific American (informally abbreviated SciAm) is an American popular science magazine.
Simon Bernhard Kochen (born 14 August 1934, Antwerpen) is a Canadian mathematician, working in the fields of model theory, number theory and quantum mechanics.
Simon Phillips Norton (born 28 February 1952) is a mathematician in Cambridge, England, who works on finite simple groups.
The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.
The Soma cube is a solid dissection puzzle invented by Piet Hein in 1936 during a lecture on quantum mechanics conducted by Werner Heisenberg.
In group theory, a discipline within mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups.
Sprouts is a paper-and-pencil game with significant mathematical properties.
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.
In mathematics, the surreal number system is a totally ordered proper class containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number.
In mathematics, a tangle is generally one of two related concepts.
The Guardian is a British daily newspaper.
The Sciences was a magazine published from 1961 to 2001 by the New York Academy of Sciences.
In computability theory, a system of data-manipulation rules (such as a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing complete or computationally universal if it can be used to simulate any Turing machine.
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers to the power of k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.
A wiki is a website on which users collaboratively modify content and structure directly from the web browser.
Winning Ways for your Mathematical Plays (Academic Press, 1982) by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy is a compendium of information on mathematical games.
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.