A mathematical space odyssey: solid geometry in the 21st century / Claudi Alsina and Roger B. Nelson.

By:

Alsina, Claudi [author]

Contributor(s):

Roger B. Nelson [co-author]

Material type: Text

TextPublication details: Washington : Mathematical Association of America, c2015Description: xiv, 272 pages : illustrations ; 23 cmISBN:

9780883853580

Subject(s):

GEOMETRY, SOLID HISTORY 21ST CENTURY

LOC classification:

QA 491 .A47 2015

Contents:

Enumeration -- Representation -- Dissection -- Plane sections -- Intersection -- Iteration -- Motion -- Projection -- Folding and unfolding -- Solutions to the challenges.

Summary: Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.-- Publisher description.

Item type:

Books

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Holdings
Item type	Current library	Home library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	National University - Manila	LRC - Main General Circulation	Electronics and Communications Engineering	GC QA 491 .A47 2015 (Browse shelf(Opens below))	c.1	Available		NULIB000013581

Includes bibliographical references (pages 259-264) and index.

Enumeration -- Representation -- Dissection -- Plane sections -- Intersection -- Iteration -- Motion -- Projection -- Folding and unfolding -- Solutions to the challenges.

Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.-- Publisher description.

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