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A Ludic Journey into Geometric Topology (Hardcover, 1st ed. 2022)
Loot Price: R1,523
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A Ludic Journey into Geometric Topology (Hardcover, 1st ed. 2022)
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This book draws on elements from everyday life, architecture, and
the arts to provide the reader with elementary notions of geometric
topology. Pac Man, subway maps, and architectural blueprints are
the starting point for exploring how knowledge about geometry and,
more specifically, topology has been consolidated over time,
offering a learning journey that is both dense and enjoyable. The
text begins with a discussion of mathematical models, moving on to
Platonic and Keplerian theories that explain the Cosmos. Geometry
from Felix Klein's point of view is then presented, paving the way
to an introduction to topology. The final chapters present the
concepts of closed, orientable, and non-orientable surfaces, as
well as hypersurface models. Adopting a style that is both rigorous
and accessible, this book will appeal to a broad audience, from
curious students and researchers in various areas of knowledge to
everyone who feels instigated by the power of mathematics in
representing our world - and beyond.
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