A mathematical space odyssey: solid geometry in the 21st century /
Alsina, Claudi.
A mathematical space odyssey: solid geometry in the 21st century / Claudi Alsina and Roger B. Nelson. - Washington : Mathematical Association of America, c2015 - xiv, 272 pages : illustrations ; 23 cm.
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.
9780883853580
GEOMETRY, SOLID HISTORY 21ST CENTURY
QA 491 .A47 2015
A mathematical space odyssey: solid geometry in the 21st century / Claudi Alsina and Roger B. Nelson. - Washington : Mathematical Association of America, c2015 - xiv, 272 pages : illustrations ; 23 cm.
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.
9780883853580
GEOMETRY, SOLID HISTORY 21ST CENTURY
QA 491 .A47 2015