The Golden Section Phyllotaxis And Wythoff S Game
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The Golden Section Phyllotaxis And Wythoff S Game
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Author : Harold Scott Macdonald Coxeter
language : en
Publisher:
Release Date : 1953
The Golden Section Phyllotaxis And Wythoff S Game written by Harold Scott Macdonald Coxeter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
The Golden Section
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Author : Steven L. Griffing
language : en
Publisher: Xlibris Corporation
Release Date : 2007-11-19
The Golden Section written by Steven L. Griffing and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-19 with Science categories.
This book contains a great deal of geometry regarding the golden section, including some discoveries of my own. It, also, contains some history of the golden section, as it was used in the art and architecture of the classical civilizations of Egypt and Greece. The golden section was used extensively in the art and architecture, during the classical civilizations of Egypt and Greece, and to some extent, later, in Europe. Its geometric basis can be found in the proportions of the bones of the human body, and of other animals.
Geometry And Billiards
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Author : Serge Tabachnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Geometry And Billiards written by Serge Tabachnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards. The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State.
The Geometric Vein
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Author : C. Davis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Geometric Vein written by C. Davis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry.
Kaleidoscopes
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Author : F. Arthur Sherk
language : en
Publisher: John Wiley & Sons
Release Date : 1995-05-31
Kaleidoscopes written by F. Arthur Sherk and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-31 with Mathematics categories.
H.S.M. Coxeter is one of the world's best-known mathematicians who wrote several papers and books on geometry, algebra and topology, and finite mathematics. This book is being published in conjunction with the 50th anniversary of the Canadian Mathematical Society and it is a collection of 26 papers written by Dr. Coxeter.
Excursions In Calculus
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Author : Robert M. Young
language : en
Publisher: American Mathematical Soc.
Release Date : 1992-10-01
Excursions In Calculus written by Robert M. Young and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-01 with Mathematics categories.
This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.
Games Of No Chance 5
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Author : Urban Larsson
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09
Games Of No Chance 5 written by Urban Larsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Computers categories.
Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.
Crc Concise Encyclopedia Of Mathematics
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Author : Eric W. Weisstein
language : en
Publisher: CRC Press
Release Date : 2002-12-12
Crc Concise Encyclopedia Of Mathematics written by Eric W. Weisstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-12 with Mathematics categories.
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Combinatorial Number Theory
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Author : Bruce Landman
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22
Combinatorial Number Theory written by Bruce Landman and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.
This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.
The Unity Of Combinatorics
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Author : Ezra Brown
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-05
The Unity Of Combinatorics written by Ezra Brown and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-05 with Education categories.
Combinatorics, or the art and science of counting, is a vibrant and active area of pure mathematical research with many applications. The Unity of Combinatorics succeeds in showing that the many facets of combinatorics are not merely isolated instances of clever tricks but that they have numerous connections and threads weaving them together to form a beautifully patterned tapestry of ideas. Topics include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings, error-correcting codes, and many others. Anyone with an interest in mathematics, professional or recreational, will be sure to find this book both enlightening and enjoyable. Few mathematicians have been as active in this area as Richard Guy, now in his eighth decade of mathematical productivity. Guy is the author of over 300 papers and twelve books in geometry, number theory, graph theory, and combinatorics. In addition to being a life-long number-theorist and combinatorialist, Guy's co-author, Ezra Brown, is a multi-award-winning expository writer. Together, Guy and Brown have produced a book that, in the spirit of the founding words of the Carus book series, is accessible “not only to mathematicians but to scientific workers and others with a modest mathematical background.”