Handbook of Cognitive Mathematics

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XL, 1366 Seiten | Ausstattung: Hardcover

2022 | 1st ed. 2022
Springer International Publishing
978-3-031-03944-7 (ISBN)

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Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

lt;b>Marcel Danesi, Ph.D, is Full Professor of linguistic anthropology at the University of Toronto and Director of the Program in Semiotics of the same university. He is also co-director of the CogSci Network of the Fields Institute for Research in Mathematical Sciences. He has written extensively on mathematics education and cognitive mathematics, including two recent books, Ahmes' Legacy: Puzzles and the Mathematical Mind (Springer 2018) and (edited) Interdisciplinary Perspectives on Math Cognition (Springer 2020).

Introduction: Marcel Danesi: What Is Cognitive Mathematics?.- BASIC NOTIONS: Rafael Núnez.- Embodied Cognition and Mathematics.- Numeracy.- Numerosity.- Spatial Reasoning in a Cognitive Mathematical Framework.- Mathematics, Culture, and History.- CONCEPTUAL BLENDING IN MATHEMATICS: Mark Turner.- Conceptual Metaphor Theory.- Conceptual Blending.- Conceptual Integration.- Compression.- Mathematical Modeling.- NEURIOSCIENTIFIC ASPECTS OF MATHEMATICS: Brian Butterworth.- Computational Neuroscience.- Creativity in Mathematics.- Modularity Theory.- Parallel Processing.- Species-Specificities.- MATHEMATICS AND LANGUAGE: Keith Devlin.- Metaphor in Language and Mathematics.- Metonymy in Language and Mathematics.- Overlapping Sign Systems.- Theories of Syntax and the Nature of Equations.- Semantics in Language and Mathematics.

Erscheint lt. Verlag	1.11.2022
Reihe/Serie	Handbook of Cognitive Mathematics
Zusatzinfo	XL, 1366 p. 264 illus., 131 illus. in color. In 2 volumes, not available separately.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	2948 g
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Computational Neuroscience • Conceptual Blending • Fractal Geometry • Geometry • mathematics and drawing • mathematics and poetry • modularity theory • numeracy • Parallel Processing • Probability Theory • semantics in language and mathematics • set theory • sign systems • theories of syntax
ISBN-10	3-031-03944-0 / 3031039440
ISBN-13	978-3-031-03944-7 / 9783031039447
Zustand	Neuware