اودیسه‌ای ریاضیاتی: هندسهٔ جامد در قرن بیست و یکم (انتشارات ریاضی دلسیا، جلد ۵۰)

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. 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 Claudi Alsina, Roger B. Nelsen. Includes Bibliographical References (pages 259-264) And Index. "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" -- Descripció de l'editor 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 This book presents techniques for proving a variety of mathematical results in three-dimensional Euclidean space, the field traditionally known as solid geometry. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, or in a mathematics course for liberal arts students.