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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Geometry Revealed - A Jacob's Ladder to Modern Higher Geometry (Paperback, Softcover reprint of the original 1st ed. 2010)
Loot Price: R2,621
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Geometry Revealed - A Jacob's Ladder to Modern Higher Geometry (Paperback, Softcover reprint of the original 1st ed. 2010)
Expected to ship within 10 - 15 working days
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Both classical geometry and modern differential geometry have been
active subjects of research throughout the 20th century and lie at
the heart of many recent advances in mathematics and physics. The
underlying motivating concept for the present book is that it
offers readers the elements of a modern geometric culture by means
of a whole series of visually appealing unsolved (or recently
solved) problems that require the creation of concepts and tools of
varying abstraction. Starting with such natural, classical objects
as lines, planes, circles, spheres, polygons, polyhedra, curves,
surfaces, convex sets, etc., crucial ideas and above all abstract
concepts needed for attaining the results are elucidated. These are
conceptual notions, each built "above" the preceding and permitting
an increase in abstraction, represented metaphorically by Jacob's
ladder with its rungs: the 'ladder' in the Old Testament, that
angels ascended and descended... In all this, the aim of the book
is to demonstrate to readers the unceasingly renewed spirit of
geometry and that even so-called "elementary" geometry is very much
alive and at the very heart of the work of numerous contemporary
mathematicians. It is also shown that there are innumerable paths
yet to be explored and concepts to be created. The book is visually
rich and inviting, so that readers may open it at random places and
find much pleasure throughout according their own intuitions and
inclinations. Marcel Berger is t he author of numerous successful
books on geometry, this book once again is addressed to all
students and teachers of mathematics with an affinity for geometry.
General
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