Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-26T10:03:57.868Z Has data issue: false hasContentIssue false

5 - Bernhard Riemann’s Conceptual Mathematics and the Pedagogy of Mathematical Concepts

from Part III

Published online by Cambridge University Press:  26 July 2017

By
Arkady Plotnitsky
Edited by
Elizabeth de Freitas ,
Nathalie Sinclair  and
Alf Coles
Elizabeth de Freitas
Affiliation:
Manchester Metropolitan University
Nathalie Sinclair
Affiliation:
Simon Fraser University, British Columbia
Alf Coles
Affiliation:
University of Bristol
Get access
Type
Chapter
Information
What is a Mathematical Concept? , pp. 93 - 107
Publisher: Cambridge University Press
Print publication year: 2017

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Deleuze, G. (1994). Difference and repetition, tr. P. Patton, New York: Columbia University Press.Google Scholar
Deleuze, G. & Guattari, F. (1987). A thousand plateaus, tr. B. Massumi, Minneapolis: University of Minnesota Press.Google Scholar
Deleuze, G. & Guattari, F. (1994). What is philosophy? tr. H. Tomplinson and G. Burchell, New York: Columbia University Press.Google Scholar
Ferreirós, J. (2006). Riemann’s Habilitationsvortrag at the Crossroads of Mathematics, Physics, and Philosophy. In Ferreirós, J. and Gray (Eds), J. J., The architecture of modern mathematics: Essays in history and philosophy (pp. 67–96). Oxford: Oxford University Press.Google Scholar
Hilbert, D (1900). Foundations of geometry, 10th edition, tr. Leo Unger. La Salle, IL: Open Court.Google Scholar
Laugwitz, D. (1999). Bernhard Riemann: Turnings points in the conception of mathematics, tr. A. Shenitzer. Boston, MA: Birkhäuser.Google Scholar
Riemann, B. (1854). On the Hypotheses That Lie at the Foundations of Geometry. In Pesic (Ed.), P., Beyond geometry: Classic papers from Riemann to Einstein (pp. 23–40). Mineola, NY: Dover, 2007.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×