Artículos relacionados a Regular Polytopes (Dover Books on MaTHEMA 1.4tics)
Sinopsis
Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.
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Acerca del autor
H. S. M. Coxeter: Through the Looking Glass
Harold Scott MacDonald Coxeter (1907–2003) is one of the greatest geometers of the last century, or of any century, for that matter. Coxeter was associated with the University of Toronto for sixty years, the author of twelve books regarded as classics in their field, a student of Hermann Weyl in the 1930s, and a colleague of the intriguing Dutch artist and printmaker Maurits Escher in the 1950s.
In the Author's Own Words:
"I'm a Platonist — a follower of Plato — who believes that one didn't invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered."
"In our times, geometers are still exploring those new Wonderlands, partly for the sake of their applications to cosmology and other branches of science, but much more for the sheer joy of passing through the looking glass into a land where the familiar lines, planes, triangles, circles, and spheres are seen to behave in strange but precisely determined ways."
"Geometry is perhaps the most elementary of the sciences that enable man, by purely intellectual processes, to make predictions (based on observation) about the physical world. The power of geometry, in the sense of accuracy and utility of these deductions, is impressive, and has been a powerful motivation for the study of logic in geometry."
"Let us revisit Euclid. Let us discover for ourselves a few of the newer results. Perhaps we may be able to recapture some of the wonder and awe that our first contact with geometry aroused." — H. S. M. Coxeter
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Regular Polytopes
Publicado por
Dover Publications Inc., 2003
ISBN 10: 0486614808
ISBN 13: 9780486614809
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Paperback
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Good. Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them. Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study. Nº de ref. del artículo: 00108033932
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Regular Polytopes
Publicado por
Dover Publications, 1973
ISBN 10: 0486614808
ISBN 13: 9780486614809
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Librería: Greenworld Books, Arlington, TX, Estados Unidos de America
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Condición: like_new. Fast Free Shipping â" Excellent condition book with clean cover and pages. Barely handled, with minimal wear. An outstanding copy, close to enjoy! Nº de ref. del artículo: GWV.0486614808.LN
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Regular Polytopes
Publicado por
Dover Publications, 1973
ISBN 10: 0486614808
ISBN 13: 9780486614809
Antiguo o usado
Paperback
Librería: ThriftBooks-Atlanta, AUSTELL, GA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Nº de ref. del artículo: G0486614808I5N00
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Imagen de archivo
Regular Polytopes
Publicado por
Dover Publications Inc., 2003
ISBN 10: 0486614808
ISBN 13: 9780486614809
Antiguo o usado
Paperback
Librería: World of Books Inc, Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: Good. Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them. Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study. Nº de ref. del artículo: CIN0486614808G
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Regular Polytopes
Publicado por
Dover Publications, 1973
ISBN 10: 0486614808
ISBN 13: 9780486614809
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Librería: St Vincent de Paul of Lane County, Eugene, OR, Estados Unidos de America
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Condición: Good. paperback 100% of proceeds go to charity! Good condition with all pages in tact. Item shows signs of use and may have cosmetic defects. Nº de ref. del artículo: E-06-6226
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Regular Polytopes
Publicado por
Dover Publications, Incorporated, 1973
ISBN 10: 0486614808
ISBN 13: 9780486614809
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Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Nº de ref. del artículo: 4897360-6
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Imagen de archivo
Regular Polytopes
Publicado por
Dover Publications, Incorporated, 1973
ISBN 10: 0486614808
ISBN 13: 9780486614809
Antiguo o usado
Tapa blanda
Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Very Good. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Nº de ref. del artículo: 5272085-6
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Regular Polytopes
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Softbound. Condición: New. Nº de ref. del artículo: 56107
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Regular Polytopes
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Condición: New. Brand New! Not Overstocks or Low Quality Book Club Editions! Direct From the Publisher! We're not a giant, faceless warehouse organization! We're a small town bookstore that loves books and loves it's customers! Buy from Lakeside Books! Nº de ref. del artículo: OTF-S-9780486614809
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