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Marcus Giaquinto Visual Thinking in Mathematics (Paperback) (UK IMPORT)
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eBay item number:116461339350
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Visual Thinking in Mathematics
- ISBN-10
- 0199575533
- EAN
- 9780199575534
- ISBN
- 9780199575534
- Release Date
- 09/22/2011
- Country/Region of Manufacture
- GB
- Genre
- Society & Culture
- Topic
- Philosophy & Spirituality
- Title
- Visual Thinking in Mathematics
- Release Year
- 2011
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0199575533
ISBN-13
9780199575534
eBay Product ID (ePID)
102837271
Product Key Features
Number of Pages
304 Pages
Language
English
Publication Name
Visual Thinking in Mathematics
Publication Year
2011
Subject
History & Philosophy, General
Type
Textbook
Subject Area
Mathematics, Philosophy, Psychology
Format
Trade Paperback
Dimensions
Item Height
0.6 in
Item Weight
15.7 Oz
Item Length
9.2 in
Item Width
6.2 in
Additional Product Features
Intended Audience
Scholarly & Professional
Reviews
'Review from previous edition The author shows great ambition in tackling such an interesting topic with an interdisciplinary spirit.'Sun-Joo Shin, Notre Dame Philosophical Reviews, 'Review from previous edition The author shows great ambition in tackling such an interesting topic with an interdisciplinary spirit.' Sun-Joo Shin, Notre Dame Philosophical Reviews
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
510
Table Of Content
1: Introduction2: Simple Shapes: Vision and Concepts3: Basic Geometrical Knowledge4: Geometrical Discovery by Visualizing5: Diagrams in Geometric Proofs6: Mental Number Lines7: Visual Aspects of Calculation8: General Theorems from Specific Images9: Visual Thinking in Basic Analysis10: Symbol Manipulation11: Cognition of Structure12: Mathematical Thinking: Algebraic v. Geometric?
Synopsis
Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking., Marcus Giaquinto presents an investigation into the different kinds of visual thinking involved in mathematical thought, drawing on work in cognitive psychology, philosophy, and mathematics. He argues that mental images and physical diagrams are rarely just superfluous aids: they are often a means of discovery, understanding, and even proof., Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used,Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on thenature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.Visual Thinking in Mathematicsreopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitivesciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking., Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used,Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work onthe nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.Visual Thinking in Mathematicsreopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitivesciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.
LC Classification Number
QA8.4
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Seller feedback (760,044)
- eBay automated feedback- Feedback left by buyer.Past monthOrder completed successfully—tracked and on time
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