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Combinatorial Geometry in the Plane is a book in discrete geometry.It was translated from a German-language book, Kombinatorische Geometrie in der Ebene, which its authors Hugo Hadwiger and Hans Debrunner published through the University of Geneva in 1960, expanding a 1955 survey paper that Hadwiger had published in L'Enseignement mathématique. [1]
Geometric group theory grew out of combinatorial group theory that largely studied properties of discrete groups via analyzing group presentations, which describe groups as quotients of free groups; this field was first systematically studied by Walther von Dyck, student of Felix Klein, in the early 1880s, [2] while an early form is found in the 1856 icosian calculus of William Rowan Hamilton ...
Holt McDougal is an American publishing company, a division of Houghton Mifflin Harcourt, that specializes in textbooks for use in high schools.. The Holt name is derived from that of U.S. publisher Henry Holt (1840–1926), co-founder of the earliest ancestor business, but Holt McDougal is distinct from contemporary Henry Holt and Company, which claims the history from 1866.
The book was a hit across Europe, becoming a best seller in at least Spain, Germany, [8] the Netherlands, [9] and Italy. [10] The Number Devil also had considerable success in Japan . [ 11 ] After the success of The Number Devil , Enzensberger wrote a follow-up, called Where Were You, Robert? , a children's book focusing on history rather than ...
The book is a collection of Holt's previous 25 essays on such diverse themes as science, philosophy, the nature of time, eugenics, quantum physics, string theory, relativity, the future of the universe, and the foundation of mathematics; Holt also explores the works of such scientists as Alan Turing, Benoit Mandelbrot, Emmy Noether, and others.
Online version: Interactive Java version. This is often regarded as not only the most important work in geometry but one of the most important works in mathematics. It contains many important results in plane and solid geometry, algebra (books II and V), and number theory (book VII, VIII, and IX). [52]
An overview of the history of mathematics, in seven chapters including the development of important concepts such as number, geometry, mathematical proof, and the axiomatic approach to the foundations of mathematics. [3] [4] [5] [7] A chronology of significant events in mathematical history is also provided later in the book. [5]
He was an author of 12 books, including The Fifty-Nine Icosahedra (1938) and Regular Polytopes (1947). Many concepts in geometry and group theory are named after him, including the Coxeter graph , Coxeter groups , Coxeter's loxodromic sequence of tangent circles , Coxeter–Dynkin diagrams , and the Todd–Coxeter algorithm .
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