 BROWSE
 USED
 STAFF PICKS
 GIFTS + GIFT CARDS
 SELL BOOKS
 BLOG
 EVENTS
 FIND A STORE
 800.878.7323

$14.95
New Trade Paper
Ships in 1 to 3 days
Available for Instore Pickup
in 7 to 12 days
More copies of this ISBNOther titles in the Dover Books on Mathematics series:
The Beauty of Geometry: Twelve Essaysby H. S. M. Coxeter
Synopses & ReviewsPublisher Comments:Written 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 selfdual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 selftransformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another samesized sphere develops aspects of communication theory, while relativity theory is explored in a chapter on reflected light signals. Additional topics include the classification of zonohedra by means of projective diagrams, arrangements of equal spheres in nonEuclidean spaces, and regular honeycombs in hyperbolic space. Stimulating and thoughtprovoking, this collection is sure to interest students, mathematicians, and any math buff with its lucid treatment of geometry and the crucial role geometry can play in a wide range of mathematical applications. Book News Annotation:Discusses geometry's applications to number theory, group theory, graph theory, communication theory, and relativity theory. Originally published as Twelve Geometric Essays in 1968 by SIU Press.
Annotation c. Book News, Inc., Portland, OR (booknews.com) Synopsis:Absorbing essays demonstrate the charms of mathematics. Stimulating and thoughtprovoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians. Synopsis:These absorbing essays by a distinguished mathematician provide a compelling demonstration of the charms of mathematics. Stimulating and thoughtprovoking, this collection is sure to interest students, mathematicians, and any math buff with its lucid treatment of geometry and the crucial role geometry plays in a wide range of mathematical applications. Table of ContentsPreface
1 The Functions of Schläfli and Lobatschefsky 2 Integral Cayley Numbers 3 Wythoff's Construction for Uniform Polytopes 4 The Classification of Zonohedra by Means of Projective Diagrams 5 "Regular Skew polyhedra in Three and Four Dimensions, and Their Topological Analogues " 6 Selfdual Configurations and Regular Graphs 7 "Twelve Points in PG(5, 3) with 95040 Selftransformations " 8 Arrangements of Equal Spheres in NonEuclidean Spaces 9 An Upper Bound for the Number of Equal Nonoverlapping Spheres That Can Touch Another of the Same Size 10 Regular Honeycombs in Hyperbolic Space 11 Reflected Light Signals 12 Geometry Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
Other books you might likeRelated Subjects
History and Social Science » World History » General


