Dreams of Calculus: Perspectives on Mathematics Education
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Dreams of Calculus presents evidence that mathematics education today is in a process of change of paradigm, caused by the revolutionary new possibilities offered by the computer. The authors complement the physicist Eugene Wigner's famous statement concerning "the unreasonable effectiveness of mathematics in the natural sciences", by presenting evidence of "the reasonable effectiveness of computational mathematics". The book may also serve as an introduction to the Body&Soul mathematics education reform project reflecting the new paradigm. Dreams of Calculus is directed to a large audience of teachers, students and users of mathematics. In a first part the authors present a brief history leading into applications of computational mathematics today. In a second part, they present key applications of computational mathematics for simulation of the motion of the planets in our solar system by solving Newton's equation, and turbulence by solving the Navier--Stokes equations. This book is stimulated by the work of the Mathematics Delegation created by the Swedish Minister of Education in 2003 with the task of analyzing the current crisis in mathematics education on all levels. The authors are leading researchers in computational mathematics. Further information can be found at http://www.phi.chalmers.se/bodysoul |
Beschreibung: | 1 Online-Ressource (XIII, 162 p) |
ISBN: | 9783642185861 9783540219767 |
DOI: | 10.1007/978-3-642-18586-1 |
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Datensatz im Suchindex
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any_adam_object | |
author | Hoffman, Johan |
author_facet | Hoffman, Johan |
author_role | aut |
author_sort | Hoffman, Johan |
author_variant | j h jh |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-18586-1 |
format | Electronic eBook |
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indexdate | 2024-07-10T01:21:11Z |
institution | BVB |
isbn | 9783642185861 9783540219767 |
language | English |
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spelling | Hoffman, Johan Verfasser aut Dreams of Calculus Perspectives on Mathematics Education by Johan Hoffman, Claes Johnson, Anders Logg Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (XIII, 162 p) txt rdacontent c rdamedia cr rdacarrier Dreams of Calculus presents evidence that mathematics education today is in a process of change of paradigm, caused by the revolutionary new possibilities offered by the computer. The authors complement the physicist Eugene Wigner's famous statement concerning "the unreasonable effectiveness of mathematics in the natural sciences", by presenting evidence of "the reasonable effectiveness of computational mathematics". The book may also serve as an introduction to the Body&Soul mathematics education reform project reflecting the new paradigm. Dreams of Calculus is directed to a large audience of teachers, students and users of mathematics. In a first part the authors present a brief history leading into applications of computational mathematics today. In a second part, they present key applications of computational mathematics for simulation of the motion of the planets in our solar system by solving Newton's equation, and turbulence by solving the Navier--Stokes equations. This book is stimulated by the work of the Mathematics Delegation created by the Swedish Minister of Education in 2003 with the task of analyzing the current crisis in mathematics education on all levels. The authors are leading researchers in computational mathematics. Further information can be found at http://www.phi.chalmers.se/bodysoul Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Mathematics, general Analysis Computational Mathematics and Numerical Analysis Mathematical Methods in Physics Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Computermathematik (DE-588)4788218-9 gnd rswk-swf Computermathematik (DE-588)4788218-9 s 1\p DE-604 Johnson, Claes Sonstige oth Logg, Anders Sonstige oth https://doi.org/10.1007/978-3-642-18586-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Hoffman, Johan Dreams of Calculus Perspectives on Mathematics Education Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Mathematics, general Analysis Computational Mathematics and Numerical Analysis Mathematical Methods in Physics Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Computermathematik (DE-588)4788218-9 gnd |
subject_GND | (DE-588)4788218-9 |
title | Dreams of Calculus Perspectives on Mathematics Education |
title_auth | Dreams of Calculus Perspectives on Mathematics Education |
title_exact_search | Dreams of Calculus Perspectives on Mathematics Education |
title_full | Dreams of Calculus Perspectives on Mathematics Education by Johan Hoffman, Claes Johnson, Anders Logg |
title_fullStr | Dreams of Calculus Perspectives on Mathematics Education by Johan Hoffman, Claes Johnson, Anders Logg |
title_full_unstemmed | Dreams of Calculus Perspectives on Mathematics Education by Johan Hoffman, Claes Johnson, Anders Logg |
title_short | Dreams of Calculus |
title_sort | dreams of calculus perspectives on mathematics education |
title_sub | Perspectives on Mathematics Education |
topic | Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Mathematics, general Analysis Computational Mathematics and Numerical Analysis Mathematical Methods in Physics Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Computermathematik (DE-588)4788218-9 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Computer science / Mathematics Mathematical physics Engineering Mathematics, general Analysis Computational Mathematics and Numerical Analysis Mathematical Methods in Physics Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Mathematische Physik Computermathematik |
url | https://doi.org/10.1007/978-3-642-18586-1 |
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