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How we understand mathematics = conceptual integration in the language of mathematical description /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	How we understand mathematics/ by Jacek Wozny.
Reminder of title:	conceptual integration in the language of mathematical description /
Author:	Wozny, Jacek.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	x, 118 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-77688-0
ISBN:	9783319776880

How we understand mathematics = conceptual integration in the language of mathematical description /
Wozny, Jacek.

How we understand mathematicsconceptual integration in the language of mathematical description /[electronic resource] :by Jacek Wozny. - Cham :Springer International Publishing :2018. - x, 118 p. :ill., digital ;24 cm. - Mathematics in mind,2522-5405. - Mathematics in mind..

1. 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.

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.

ISBN: 9783319776880

Standard No.: 10.1007/978-3-319-77688-0doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA8.4

Dewey Class. No.: 510.1

How we understand mathematics = conceptual integration in the language of mathematical description /
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520 $a 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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