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1 H. S. M. Coxeter Beauty of geometry: Twelve Essays 025993 1968 Book  
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TitleBeauty of geometry: Twelve Essays
Author(s)H. S. M. Coxeter
PublicationNew York, Dover Publications, Inc., 1968.
Descriptionx, 274p.
Abstract NoteWritten by a distinguished mathematician, the dozen absorbing essays in this versatile volume offer both supplementary classroom material and pleasurable reading for the mathematically inclined. The essays promise to encourage readers in the further study of elementary geometry, not just for its own sake, but also for its broader applications, which receive a full and engaging treatment. Beginning with an analytic approach, the author reviews the functions of Schlafli and Lobatschefsky and discusses number theory in a dissertation on integral Cayley numbers. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular skew polyhedra in three and four dimensions and their topological analogues. A profile of self-dual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 self-transformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another same-sized sphere develops aspects of communication theory, while relativity theory is explored in a chapter on reflected light signals. - See more at: http://store.doverpublications.com/0486409198.html#sthash.U0Jy5hZo.dpuf
ISBN,Price9780486409191 : US $14.95(PB)
Classification514.01
Keyword(s)1. GEOMETRY 2. GRAPH THEORY 3. GROUP THEORY 4. INTERGRAL CAYLEY NUMBERS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
025993   514.01/COX/025993  On Shelf    

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