ENGLISH

Mathematical Notations

By Dirk Schlimm

Book information

Publisher
Cambridge University Press
Year
2024
ISBN
9781009472111, 9781009472128, 9781009472142
DOI
10.1017/9781009472128
ISSN
2399-2883
Google Books ID
z-b60AEACAAJ
Language
english
Format
PDF
Filesize
2 MB (2296772 bytes)
Series
Cambridge Elements; Elements in the Philosophy of Mathematics
Pages
\94
Library
Cambridge Core
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2025-02-01 11:12:22
notations; mathematical thinking; external represe

Description

This Element lays the foundation, introduces a framework, and sketches the program for a systematic study of mathematical notations. It is written for everyone who is curious about the world of symbols that surrounds us, in particular researchers and students in philosophy, history, cognitive science, and mathematics education. The main characteristics of mathematical notations are introduced and discussed in relation to the intended subject matter, the language in which the notations are verbalized, the cognitive resources needed for learning and understanding them, the tasks that they are used for, their material basis, and the historical context in which they are situated. Specific criteria for the design and assessment of notations are discussed, as well as ontological, epistemological, and methodological questions that arise from the study of mathematical notations and of their use in mathematical practice.

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