id: 06176667
dt: b
an: 2014c.00631
au: Jaques, Daniel; Calame, Jean-François
ti: Spatial geometry. The handbook. With the collaboration of Jean-François
Calame. (Géométrie spatiale. Le vade-mecum.)
so: Enseignement des Mathématiques. Lausanne: Presses Polytechniques et
Universitaires Romandes (PPUR) (ISBN 978-2-88074-945-3/pbk). 337~p.
(2013).
py: 2013
pu: Lausanne: Presses Polytechniques et Universitaires Romandes (PPUR)
la: FR
cc: G15
ut: spatial geometry; axonometry; perspectivity; shadow; orthogonal projection;
geometric transformation; conic sections; Platonic solid; regular
polyhedron
ci:
li:
ab: This book is written primarily for students of architecture, engineering,
and fine arts. It contains, in an attractive and beautifully
illustrated manner, the essentials of the subject that is called
“spatial geometry", and that may be duly called “practical
descriptive geometry". The topics covered include axonometry,
perspectivity, orthogonal projections, geometric transformations,
surfaces of revolution, ruled surfaces, and regular polyhedra. The book
emphasizes cultural and historical aspects, and contains hundreds of
handsome and carefully drawn diagrams and reproductions of works of
famous artists and architects. Besides being an excellent companion to
textbooks of certain courses in architecture, engineering, and arts,
the book can also be a great manual to practitioners. It can also be
useful in supplementing textbooks of certain courses in mathematics,
such as geometry, differential geometry, and even calculus. Students
taking such courses would find the detailed chapter on Platonic solids,
their properties, and how to construct them, and the chapters on conic
sections, surfaces of revolution, and ruled surfaces especially
illuminating. The book also provides etymologies of hundreds of the
technical terms used in the discipline, an aspect that this reviewer
found very delightful and informative. The book is very pleasant to
skim through, and can make a good companion in a long bus, train, or
plane trip. It can be recommended not only to students who master
French, but also to those with only a modest knowledge of it. This
recommendation is driven by this reviewer’s sweet memories of the
first mathematics book written in English that he, at an age when he
knew little English, came to own, and by the great pleasure he had in
learning more English and more geometry at the same time. It would be
interesting to know whether pedagogists agree that such a two-fold
learning process is more exciting and more efficient.
rv: Mowaffaq Hajja (Irbid)