Contents; Preface; 1. Introduction; 2. Enumeration; 3. Representation; 4. Dissection; 5. Plane sections; 6. Intersection; 7. Iteration; 8. Motion; 9. Projection; 10. Folding and unfolding; Solutions to the challenges; References; Index; About the authors.
A book for secondary school and university teachers that presents various techniques for proving mathematical results in three-dimensional Euclidean space.
Roger B. Nelsen, Professor Emeritus of
Mathematics, Lewis & Clark College, USA.
Claudi Alsina, Professor of Mathematics,
Polytechnic University of Catalonia, Spain.
If I had had access to this text in my formative years, my entire
attitude about multidimensional geometry might well be different
now... The writing seemed to me to be clear, though succinct and
efficient. The authors have managed to keep the prerequisites for
reading this book to a minimum; certainly a year of calculus is
sufficient for just about everything done here, and even a college
freshman without any calculus would find almost all of the text
comprehensible, since calculus is used in only a handful of
circumstances. The book employs a number of nice pedagogical
features... It's certainly something that anybody interested in
geometry would want to take a look at - even if, like me, you
didn't think you were all that interested in solid geometry." -
Mark Hunacek, MAA Reviews
"This book provides a valuable resource for the study of solid
geometry that could be used by teachers all the way from late
elementary school through college." - Charles Ashbacher
"A Mathematical Space Odyssey is an excellent and thorough
introduction to the basic ideas of solid geometry... The liberal
use of diagrams and figures provides good support for the
mathematics presented. The book is written in such a way that it is
suitable for anyone with an understanding of basic algebra, with
plenty of figures to support the mathematics presented... It would
be an excellent textbook for an introductory college course in
solid geometry." - Hilary Smith Risser, Mathematics Teacher
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