An Introduction to the Theory of Surreal Numbers

Harry Gonshor

doi:10.1017/CBO9780511629143

The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These notes provide a formal introduction to the theory in a clear and lucid style. The the author is able to lead the reader through to some of the problems in the field. The topics covered include exponentiation and generalized e-numbers.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
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 .

To save content items 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.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

An Introduction to the Theory of Surreal Numbers

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

Acknowledgements
pp viii-viii

Chapter 1 - Introduction
pp 1-2

Chapter 2 - Definition and Fundamental Existence Theorem
pp 3-12

Chapter 3 - The Basic Operations
pp 13-26

Chapter 4 - Real Numbers and Ordinals
pp 27-51

Chapter 5 - Normal Form
pp 52-94

Chapter 6 - Lengths and Subsystems which are Sets
pp 95-103

Chapter 7 - Sums as Subshuffles, Unsolved Problems
pp 104-110

Chapter 8 - Number Theory
pp 111-120

Chapter 9 - Generalized Epsilon Numbers
pp 121-142

Chapter 10 - Exponentiation
pp 143-190

References
pp 191-191

Index
pp 192-192

Metrics

Altmetric attention score

Full text views

Book summary page views

An Introduction to the Theory of Surreal Numbers

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views