Skip to main content Accessibility help
×
Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T02:50:22.641Z Has data issue: false hasContentIssue false

Preface

Published online by Cambridge University Press:  05 November 2009

Hansjörg Geiges
Affiliation:
Universität zu Köln
Get access

Summary

‘We are all familiar with the after-the-fact tone ― weary, self-justificatory, aggrieved, apologetic ― shared by ship's captains appearing before boards of inquiry to explain how they came to run their vessels aground and by authors composing Forewords.’

John Lanchester, The Debt to Pleasure

Contact geometry, as a subject in its own right, was born in 1896 in the monumental work of Sophus Lie on Berührungstransformationen (contact transformations). Lie traces the pedigree of contact geometric notions back to the work of Christiaan Huygens on geometric optics in the Traité de la Lumière of 1690 ― or even Apollonius of Perga's Conica from the third century BC ― and to practically all the famous mathematicians of the eighteenth and nineteenth century.

But as late as 1990, when I began my journey into contact geometry, the field still seemed rather arcane. To the prescience of Charles Thomas I owe the privilege of starting graduate work in an area that was only just beginning to flourish. This, of course, had its drawbacks ― there were no texts from which to learn the essentials. Even contact geometry's elder sibling, symplectic geometry ― firmly established as the natural language for classical mechanics, and brought into prominence by Gromov's influential 1985 paper on pseudoholomorphic curves ― suffered from a similar dearth.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2008

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.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] 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.

  • Preface
  • Hansjörg Geiges, Universität zu Köln
  • Book: An Introduction to Contact Topology
  • Online publication: 05 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511611438.001
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.

  • Preface
  • Hansjörg Geiges, Universität zu Köln
  • Book: An Introduction to Contact Topology
  • Online publication: 05 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511611438.001
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.

  • Preface
  • Hansjörg Geiges, Universität zu Köln
  • Book: An Introduction to Contact Topology
  • Online publication: 05 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511611438.001
Available formats
×