| 书目名称 | How We Understand Mathematics | | 副标题 | Conceptual Integrati | | 编辑 | Jacek Woźny | | 视频video | | | 概述 | Analyzes the language of pure mathematics in various advanced-level sources.Systemically covers the whole course of advanced, academic-level algebra.Presents topics in the order usually taught to stud | | 丛书名称 | Mathematics in Mind | | 图书封面 |  | | 描述 | .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. . | | 出版日期 | Book 2018 | | 关键词 | linear transformations; fields; set theory; vector spaces; ring theory; blending theory; mappings; Abelian | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-77688-0 | | isbn_softcover | 978-3-030-08513-1 | | isbn_ebook | 978-3-319-77688-0Series ISSN 2522-5405 Series E-ISSN 2522-5413 | | issn_series | 2522-5405 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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发表于 2025-3-21 17:20:57
