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Overview"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. " Full Product DetailsAuthor: Jacek WoźnyPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: Softcover reprint of the original 1st ed. 2018 Dimensions: Width: 15.50cm , Height: 0.70cm , Length: 23.50cm Weight: 0.454kg ISBN: 9783030085131ISBN 10: 3030085139 Pages: 118 Publication Date: 30 January 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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