Visualization, Explanation and Reasoning Styles in Mathematics

This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, und...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Mancosu, Paolo, 1960-
Awduron Eraill: Jørgensen, Klaus Frovin (Cyfarwyddwr cyhoeddi), Pedersen, SA (Cyfarwyddwr cyhoeddi), Pedersen, Stig Andur (Cyfarwyddwr cyhoeddi)
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Dordrecht : Springer Netherlands 2005.
Cham : Springer Nature
Rhifyn:1st ed. 2005.
Cyfres:Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 327
Mynediad Ar-lein:Accès sur la plateforme de l'éditeur
Accès sur la plateforme ISTEX
Accès Université d'Orléans
Accès INSA CVL
Nodyn: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Visualization, explanation and reasoning styles in mathematics, ed. by Paolo Mancosu..., Klaus Frovin Jørgensen... and Stig Andur Pedersen..., Dordrecht [etc.], Springer, 2005, 1 vol. (X-300 p.), The synthese library, 1-4020-3334-6
• Visualization, Explanation and Reasoning Styles in Mathematics, Texte imprimé, 9789048102631
• Visualization, Explanation and Reasoning Styles in Mathematics, Texte imprimé, 9789048168378
• Visualization, explanation and reasoning styles in mathematics, ed. by Paolo Mancosu..., Klaus Frovin Jørgensen... and Stig Andur Pedersen..., Dordrecht [etc.], Springer, 2005, 1 vol. (X-300 p.), The synthese library, 1-4020-3334-6
LEADER 04552nam a22004337a 4500
001 1403651
008 080409s2005 xx ||| |||| 00| 0 eng d
009 PPN123076552
020 |a 9781402033353 
020 |a 9781402033353 
041 0 |a eng 
082 |a 510 
100 1 |a Mancosu, Paolo,  |d 1960- 
245 1 0 |a Visualization, Explanation and Reasoning Styles in Mathematics   |c edited by Paolo Mancosu, Klaus Frovin Jørgensen, Stig Andur Pedersen. 
250 |a 1st ed. 2005. 
256 |a Données textuelles 
260 |a Dordrecht :  |b Springer Netherlands. 
260 |a Cham :  |b Springer Nature,  |c 2005. 
490 0 |a Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science  |v 327  |x 2542-8292 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 1 |a Mathematical Reasoning and Visualization Visualization in Logic and Mathematics From Symmetry Perception to Basic Geometry Naturalism, Pictures, and Platonic Intuitions Mathematical Activity Mathematical Explanation and Proof Styles Tertium Non Datur: On Reasoning Styles in Early Mathematics The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice The Varieties of Mathematical Explanation The Aesthetics of Mathematics: A Study 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity? What are the different epistemic virtues (explanatoriness, understanding, visualizability, etc.) which are pursued and cherished by mathematicians in their work? The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis 
538 |a Nécessite un lecteur de fichier PDF 
700 1 |a Jørgensen, Klaus Frovin.  |4 pbd 
700 1 |a Pedersen, SA.  |4 pbd 
700 1 |a Pedersen, Stig Andur.  |4 pbd 
776 0 |0 093833075  |t Visualization, explanation and reasoning styles in mathematics  |f ed. by Paolo Mancosu..., Klaus Frovin Jørgensen... and Stig Andur Pedersen...  |c Dordrecht [etc.]  |n Springer  |d 2005  |p 1 vol. (X-300 p.)  |s The synthese library  |z 1-4020-3334-6 
776 0 |t Visualization, Explanation and Reasoning Styles in Mathematics  |b Texte imprimé  |z 9789048102631 
776 0 |t Visualization, Explanation and Reasoning Styles in Mathematics  |b Texte imprimé  |z 9789048168378 
776 0 |0 093833075  |t Visualization, explanation and reasoning styles in mathematics  |f ed. by Paolo Mancosu..., Klaus Frovin Jørgensen... and Stig Andur Pedersen...  |c Dordrecht [etc.]  |n Springer  |d 2005  |p 1 vol. (X-300 p.)  |s The synthese library  |z 1-4020-3334-6 
856 4 |q PDF  |u https://doi.org/10.1007/1-4020-3335-4  |z Accès sur la plateforme de l'éditeur 
856 4 |q PDF  |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-JZN1W3WS-B  |z Accès sur la plateforme ISTEX 
856 4 |5 452349901:876782209  |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/1-4020-3335-4  |z Accès Université d'Orléans 
856 4 |5 180339901:876785526  |u uhttps://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/1-4020-3335-4  |z Accès INSA CVL 
997 |0 1403651  |1 Livre numérique  |a Ressource numérique  |b INSA  |b ENSA  |c 0/Bibliothèque numérique/  |c 1/Bibliothèque numérique/Autre ressource numérique/