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Dreams of Calculus

Perspectives on Mathematics Education

Authors: Hoffman, Johan, Johnson, Claes, Logg, Anders

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eBook £27.99
price for United Kingdom (gross)
  • ISBN 978-3-642-18586-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £35.99
price for United Kingdom (gross)
  • ISBN 978-3-540-21976-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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/

Reviews

From the reviews:

"[...] this book fills a gap in the literature of mathematics education although the analysis and conclusions in it are not constraining (but very interesting!)."

St.Götz, Monatshefte für Mathematik 148, Issue 3, 2006

"The object of this book is to make a case for computational mathematics to be treated as a subject in its own right. … The text is copiously illustrated with diagrams associated with the topic discussed and portraits of some of the mathematicians mentioned. … The printing and format are pleasing and the book will be of interest to those in university departments contemplating revision of syllabi."

Ll. G. Chambers, Zentralblatt MATH, Vol. 1079, 2006


Table of contents (18 chapters)

  • Introduction

    Hoffman, Johan (et al.)

    Pages 3-5

  • What? How? For Whom? Why?

    Hoffman, Johan (et al.)

    Pages 7-14

  • A Brief History of Mathematics Education

    Hoffman, Johan (et al.)

    Pages 15-18

  • What is Mathematics?

    Hoffman, Johan (et al.)

    Pages 19-33

  • Virtual Reality and the Matrix

    Hoffman, Johan (et al.)

    Pages 35-37

Buy this book

eBook £27.99
price for United Kingdom (gross)
  • ISBN 978-3-642-18586-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £35.99
price for United Kingdom (gross)
  • ISBN 978-3-540-21976-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dreams of Calculus
Book Subtitle
Perspectives on Mathematics Education
Authors
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18586-1
DOI
10.1007/978-3-642-18586-1
Softcover ISBN
978-3-540-21976-7
Edition Number
1
Number of Pages
XIII, 162
Topics