| Hardcover ISBN: | 978-0-88385-358-0 |
| Product Code: | DOL/50 |
| List Price: | $55.00 |
| MAA Member Price: | $41.25 |
| AMS Member Price: | $41.25 |
| Electronic ISBN: | 978-1-61444-216-5 |
| Product Code: | DOL/50.E |
| List Price: | $55.00 |
| MAA Member Price: | $41.25 |
| AMS Member Price: | $41.25 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 50; 2015; 271 pp
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. -
Table of Contents
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Chapters
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Chapter 1. Introduction
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Chapter 2. Enumeration
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Chapter 3. Representation
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Chapter 4. Dissection
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Chapter 5. Plane sections
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Chapter 6. Intersection
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Chapter 7. Iteration
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Chapter 8. Motion
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Chapter 9. Projection
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Chapter 10. Folding and Unfolding
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Additional Material
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Reviews
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… 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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RequestsReview Copy – for reviewers who would like to review an AMS bookAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. Enumeration
-
Chapter 3. Representation
-
Chapter 4. Dissection
-
Chapter 5. Plane sections
-
Chapter 6. Intersection
-
Chapter 7. Iteration
-
Chapter 8. Motion
-
Chapter 9. Projection
-
Chapter 10. Folding and Unfolding
-
… 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
