The Resource How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource)
How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource)
Resource Information
The item How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advancedlevel 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 universitylevel 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 telltale 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.
 Language
 eng
 Extent
 1 online resource (X, 118 pages)
 Contents

 1. Introduction
 2. The Theoretical Framework and the Subject of Study
 3. Sets
 4. Mappings
 5. Groups
 6. Rings, Fields, and Vector Spaces
 7. Summary and Conclusion
 Sources.
 Isbn
 9783319776880
 Label
 How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description
 Title
 How We Understand Mathematics
 Title remainder
 Conceptual Integration in the Language of Mathematical Description
 Statement of responsibility
 by Jacek Woźny
 Language
 eng
 Summary
 This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advancedlevel 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 universitylevel 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 telltale 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Woźny, Jacek
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer eBooks.
 Springer eBooks
 Mathematics in Mind,
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Combinatorics
 Cognitive grammar
 Label
 How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction  2. The Theoretical Framework and the Subject of Study  3. Sets  4. Mappings  5. Groups  6. Rings, Fields, and Vector Spaces  7. Summary and Conclusion  Sources.
 Control code
 9783319776880
 Dimensions
 unknown
 Extent
 1 online resource (X, 118 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319776880
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319776880
 Other physical details
 16 illustrations, 10 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1032810319
 Label
 How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction  2. The Theoretical Framework and the Subject of Study  3. Sets  4. Mappings  5. Groups  6. Rings, Fields, and Vector Spaces  7. Summary and Conclusion  Sources.
 Control code
 9783319776880
 Dimensions
 unknown
 Extent
 1 online resource (X, 118 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319776880
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319776880
 Other physical details
 16 illustrations, 10 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1032810319
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/HowWeUnderstandMathematicsConceptual/sBv0jy1sp7E/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/HowWeUnderstandMathematicsConceptual/sBv0jy1sp7E/">How We Understand Mathematics : Conceptual Integration in the Language of Mathematical Description, by Jacek Woźny, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>