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Books > Science & Mathematics > Mathematics > Applied mathematics
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Visual Geometry and Topology (Paperback, Softcover reprint of the original 1st ed. 1994)
Loot Price: R4,328
Discovery Miles 43 280
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Visual Geometry and Topology (Paperback, Softcover reprint of the original 1st ed. 1994)
Expected to ship within 10 - 15 working days
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Geometry and topology are strongly motivated by the visualization
of ideal objects that have certain special characteristics. A clear
formulation of a specific property or a logically consistent proof
of a theorem often comes only after the mathematician has correctly
"seen" what is going on. These pictures which are meant to serve as
signposts leading to mathematical understanding, frequently also
contain a beauty of their own. The principal aim of this book is to
narrate, in an accessible and fairly visual language, about some
classical and modern achievements of geometry and topology in both
intrinsic mathematical problems and applications to mathematical
physics. The book starts from classical notions of topology and
ends with remarkable new results in Hamiltonian geometry. Fomenko
lays special emphasis upon visual explanations of the problems and
results and downplays the abstract logical aspects of calculations.
As an example, readers can very quickly penetrate into the new
theory of topological descriptions of integrable Hamiltonian
differential equations. The book includes numerous graphical sheets
drawn by the author, which are presented in special sections of
"Visual material." These pictures illustrate the mathematical ideas
and results contained in the book. Using these pictures, the reader
can understand many modern mathematical ideas and methods. Although
"Visual Geometry and Topology" is about mathematics, Fomenko has
written and illustrated this book so that students and researchers
from all the natural sciences and also artists and art students
will find something of interest within its pages.
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