Dover Publications, Dover Publications, Produktgruppe: As a high school math student, I did not have a concept of how dimensions above three could be "meaningful.

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.

Dec 18, Megan McGowan rated it liked it The Beauty of Geometry is a great book for those who love math and are interested in a more in-depth study of geometry! The ninth essay is about an upper bound for the number of equal nonoverlapping spheres that can touch another of the same size.

The tenth article is about regular honeycomb in hyperbolic space. The fifth essay looks at regular polyhedra in three and four dimensions, and their topological analogues.

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.

Stimulating and thought-provoking, 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.

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. Stimulating and thought-provoking, 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.

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.

Additional topics include the classification of zonohedra by means of projective diagrams, arrangements of equal spheres in non-Euclidean spaces, and regular honeycombs in hyperbolic space. 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 self-transformations.

This is a recurring theme in the book. The second essay regards integral Cayley numbers and their application to the eight square theorem. Additional topics include the classification of zonohedra by means of projective diagrams, arrangements of equal spheres in non-Euclidean spaces, and regular honeycombs in hyperbolic space.

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.

Using this in a high school classroom would be helpful to establish complex mathematics as a reality, since a geometric perspective on relativity stresses the four dimensions. If you are interested in this, please start reading! Euclidean geometry, ordered geometry, sphere packing, integral quaternions and integral octaves, projective geometry, conics in the real plane, conics and k-arcs in a finite plane, hyperbolic geometry, exterior-hyperbolic geometry, and relativity.

I definitely found it challenging. 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. Coxeter Harold Scott MacDonald Coxeter — is one of the greatest geometers of the last century, or of any century, for that matter.

In the fourth essay, he classifies zonohedra by means of projective diagrams. Stimulating and thought-provoking, 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.

I would like to bring outside reading material into my future classroom and I chose to read this book with the potential of using it as a supplemental text. Perhaps we may be able to recapture some of the wonder and awe that our first contact with geometry aroused.

Product Details 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.

Let us discover for ourselves a few of the newer results. 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. Coxeter looks at reflected light signals with two unaccelerated observers emitting signals alternatively and recording the proper times of the sequence.

I had previously never seen the types of graphs that he used for the various polytopes either a forest, tree, or isolated circuit and they were all entertaining and challenging. This delves into relativity theory, with two unaccelerated observers emitting light signals.

About this product Synopsis These absorbing essays by a distinguished mathematician provide a compelling demonstration of the charms of mathematics. The eighth chapter encompasses arrangements of equal spheres in non-Euclidean spaces. 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.

His first essay reconciles the functions of Schlafli and Lobatschefsky concerning dividing polygons into right-angled triangles and dividing polyhedron into double-rectangular tetrahedra.

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. Stimulating and thought-provoking, this collection is sure to interest students, mathematicians and any math buff with its lucid treatment of geometry and the crucial role geometr 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 sixth paper is about self-dual configurations and regular graphs, including the Pappus graph and Desargues graph. In a sense, all these mathematical facts are right there waiting to be discovered.Get this from a library!

The beauty of geometry: twelve essays. [H S M Coxeter]. Buy the Paperback Book The Beauty Of Geometry by H. S.

M. Coxeter at mint-body.com, Canada's largest bookstore. + Get Free Shipping on Science and Nature books over $25! Download Citation on ResearchGate | The Beauty of Geometry: Twelve Essays / H.S.M. Coxeter. | Contenido: Las funciones de Schläfli y Lobatschefsky; Integrales de números Cayley; Construcción.

The Beauty of Geometry has 10 ratings and 1 review. Megan said: The Beauty of Geometry is a great book for those who love math and are interested in a mo /5.

Find helpful customer reviews and review ratings for The Beauty of Geometry: Twelve Essays (Dover Books on Mathematics) at mint-body.com Read honest and unbiased product reviews from our users. The Beauty of Geometry by H.

S. M. Coxeter available in Trade Paperback on mint-body.com, also read synopsis and reviews. Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment.

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