Mathematics in Mind

How We Understand Mathematics

Conceptual Integration in the Language of Mathematical Description

Authors: Woźny, Jacek

  • 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 students, allowing for a close scrutiny of the development of the multilayered and intricate structure of mathematical concepts
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eBook £51.99
price for United Kingdom (gross)
  • ISBN 978-3-319-77688-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £64.99
price for United Kingdom (gross)
  • ISBN 978-3-319-77687-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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. 

Table of contents (7 chapters)

Buy this book

eBook £51.99
price for United Kingdom (gross)
  • ISBN 978-3-319-77688-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £64.99
price for United Kingdom (gross)
  • ISBN 978-3-319-77687-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
How We Understand Mathematics
Book Subtitle
Conceptual Integration in the Language of Mathematical Description
Authors
Series Title
Mathematics in Mind
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-77688-0
DOI
10.1007/978-3-319-77688-0
Hardcover ISBN
978-3-319-77687-3
Series ISSN
2522-5405
Edition Number
1
Number of Pages
X, 118
Number of Illustrations and Tables
6 b/w illustrations, 10 illustrations in colour
Topics