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How We Understand Mathematics - Conceptual Integration in the Language of Mathematical Description (Hardcover, 1st ed. 2018)
Loot Price: R2,770
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How We Understand Mathematics - Conceptual Integration in the Language of Mathematical Description (Hardcover, 1st ed. 2018)
Series: Mathematics in Mind
Expected to ship within 10 - 15 working days
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This volume examines mathematics as a product of the human mind and
analyzes the language of "pure mathematics" from various
advanced-level sources. Through analysis of the foundational texts
of mathematics, it is demonstrated that math is a complex literary
creation, containing objects, actors, actions, projection,
prediction, planning, explanation, evaluation, roles, image
schemas, metonymy, conceptual blending, and, of course, (natural)
language. The book follows the narrative of mathematics in a
typical order of presentation for a standard university-level
algebra course, beginning with analysis of set theory and mappings
and continuing along a path of increasing complexity. At each
stage, primary concepts, axioms, definitions, and proofs will be
examined in an effort to unfold the tell-tale traces of the basic
human cognitive patterns of story and conceptual blending. This
book will be of interest to mathematicians, teachers of
mathematics, cognitive scientists, cognitive linguists, and anyone
interested in the engaging question of how mathematics works and
why it works so well.
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