Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-10-31T23:13:29.301Z Has data issue: false hasContentIssue false

To the reader

Published online by Cambridge University Press:  05 June 2012

Andrea Prosperetti
Affiliation:
The Johns Hopkins University and University of Twente
Get access

Summary

This book is not meant to be read sequentially. The material is organized according to a modular structure with abundant cross-referencing and indexing to permit a variety of pathways through it.

Each chapter in Part I, Applications, is devoted to a particular technique: Fourier series, Fourier transform, etc. The chapters open with a section summarizing very briefly the basic relations and proceeds directly to show on a variety of examples how they are applied and how they “work.”

A fairly detailed exposition of the essential background of the various techniques is given in the chapters of Part II, Essential Tools. Other chapters here describe general concepts (e.g., Green's functions and analytic functions) that occur repeatedly elsewhere. The last chapter on matrices and finite-dimensional linear spaces is included mostly to introduce Part III, Some Advanced Tools. Here the general theory of linear spaces, generalized functions and linear operators provides a unified foundation to the various techniques of Parts I and II.

The book starts with some general remarks and introductory material in Part 0. Here the first chapter summarizes the basic equations of classical field theory to establish a connection between specific physical problems and the many examples of Part I in which, by and large, no explicit reference to physics is made. The last section of this chapter provides a very elementary introduction to the basic idea of eigenfunction expansion.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2011

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 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.

  • To the reader
  • Andrea Prosperetti
  • Book: Advanced Mathematics for Applications
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511777530.002
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.

  • To the reader
  • Andrea Prosperetti
  • Book: Advanced Mathematics for Applications
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511777530.002
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.

  • To the reader
  • Andrea Prosperetti
  • Book: Advanced Mathematics for Applications
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511777530.002
Available formats
×