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Geometry --- Tetrahedra --- Geometry, Solid --- Polyhedra --- Tétraèdres --- Tétraèdres.

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Polyhedra. --- Polyhedra --- Polyhedral figures --- Polyhedrons --- Geometry, Solid --- Shapes --- Géométrie --- Polytopes --- Geometry --- Géometrie --- Geometry. --- Geometrie --- Polyedres

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This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses. Jan Aarts is Professor Emeritus of Mathematics at Delft University of Technology. He is the Managing Director of the Dutch Masters Program of Mathematics.

Mathematics. --- Geometry. --- Mathématiques --- Géométrie --- Electronic books. -- local. --- Geometry, Plane. --- Geometry, Solid. --- Geometry, Plane --- Geometry, Solid --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Solid geometry --- Plane geometry --- Euclid's Elements --- Math --- Science

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Geometry --- Cone --- Geometric measure theory --- Measure theory --- Geometry, Descriptive --- Geometry, Solid --- Cône --- Mesure géométrique, Théorie de la --- Cône. --- Mesure géométrique, Théorie de la.

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How a simple equation reshaped mathematicsLeonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

MATHEMATICS / History & Philosophy. --- Topology. --- Polyhedra. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Polyhedral figures --- Polyhedrons --- Geometry, Solid --- Shapes