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000838818 019__ $$a1033582800$$a1033660239$$a1033783332$$a1034540577$$a1038456524
000838818 020__ $$a9783319776880$$q(electronic book)
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000838818 1001_ $$aWoźny, Jacek,$$eauthor.
000838818 24510 $$aHow we understand mathematics :$$bconceptual integration in the language of mathematical description /$$cJacek Woźny.
000838818 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018]
000838818 300__ $$a1 online resource.
000838818 336__ $$atext$$btxt$$2rdacontent
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000838818 4901_ $$aMathematics in mind
000838818 504__ $$aIncludes bibliographical references.
000838818 5050_ $$a1. Introduction -- 2. The Theoretical Framework and the Subject of Study -- 3. Sets -- 4. Mappings -- 5. Groups -- 6. Rings, Fields, and Vector Spaces -- 7. Summary and Conclusion -- Sources.
000838818 506__ $$aAccess limited to authorized users.
000838818 520__ $$aThis 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.
000838818 588__ $$aOnline resource; title from PDF title page (viewed  May 02, 2018).
000838818 650_0 $$aMathematics.
000838818 650_0 $$aMathematics$$xPhilosophy.
000838818 650_0 $$aMathematical linguistics.
000838818 77608 $$iPrint version:$$aWoźny, Jacek.$$tHow we understand mathematics.$$dCham, Switzerland : Springer, [2018]$$z3319776878$$z9783319776873$$w(OCoLC)1023548829
000838818 830_0 $$aMathematics in mind.
000838818 852__ $$bebk
000838818 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-77688-0$$zOnline Access$$91397441.1
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