Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T15:13:15.909Z Has data issue: false hasContentIssue false

Appendix - Mathematical Background

Published online by Cambridge University Press:  28 May 2021

Luca Ciotti
Affiliation:
Università degli Studi, Bologna, Italy
Get access

Summary

We summarize here the most important mathematical results used in the text (and useful for solving some of the proposed exercises). Overall, this appendix is intended more as a selection of mathematical results relevant to stellar dynamics than an organic presentation of definitions and theorems. A good knowledge of linear algebra and calculus at the undergraduate level is assumed, and the interested reader is encouraged to refer to some of the excellent classical treatises of mathematical physics, such as Arfken and Weber (2005), Bender and Orszag (1978), Courant and Hilbert (1989), Dennery and Krzywicki (1967), Ince (1927), Jeffrey and Jeffrey (1950), Kahn (2004), and Morse and Feshbach (1953). To help with further study, in the following sections more specific references are sometimes also provided.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2021

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.

  • Mathematical Background
  • Luca Ciotti, Università degli Studi, Bologna, Italy
  • Book: Introduction to Stellar Dynamics
  • Online publication: 28 May 2021
  • Chapter DOI: https://doi.org/10.1017/9780511736117.019
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.

  • Mathematical Background
  • Luca Ciotti, Università degli Studi, Bologna, Italy
  • Book: Introduction to Stellar Dynamics
  • Online publication: 28 May 2021
  • Chapter DOI: https://doi.org/10.1017/9780511736117.019
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.

  • Mathematical Background
  • Luca Ciotti, Università degli Studi, Bologna, Italy
  • Book: Introduction to Stellar Dynamics
  • Online publication: 28 May 2021
  • Chapter DOI: https://doi.org/10.1017/9780511736117.019
Available formats
×