Terms and Conditions

Page iv of the PDF file of the inside of each of the books
contains contact information about the author, states the title of the book, gives its Mathematics Subject Classification Numbers, contains a few words about the cover illustration, and then contains the copyright notice, which is reproduced below.  Under the rules, anyone who forms a new PDF file by extracting some of the inside pages of the book is required to identify the book and to include the copyright notice below; this condition is met by including page iv of the book as part of the extract.


Terms and Conditions for Basic Algebra, Basic Real Analysis, Advanced Algebra, and Advanced Real Analysis


Digital Second Edition, not to be sold, no ISBN
©2016 Anthony W. Knapp
Published by the Author

All rights reserved.  This file is a digital second edition of the above named book.  The text, images, and other data contained in this file, which is in portable document format (PDF), are proprietary to the author, and the author retains all rights, including copyright, in them.  The use in this file of trade names, trademarks, service marks, and similar items, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.

All rights to print media for the first edition of this book have been licensed to Birkhäuser Boston, c/o Springer Science+Business Media Inc., 233 Spring Street, New York, NY 10013, USA, and this organization and its successor licensees may have certain rights concerning print media for the digital second edition.  The author has retained all rights worldwide concerning digital media for both the first edition and the digital second edition.

The file is made available for limited noncommercial use for purposes of education, scholarship, and research, and for these purposes only, or for fair use as understood in the United States copyright law. Users may freely download this file for their own use and may store it, post it online, and transmit it digitally for purposes of education, scholarship, and research. They may not convert it from PDF to any other format (e.g., EPUB), they may not edit it, and they may not do reverse engineering with it.  In transmitting the file to others or posting it online, users must charge no fee, nor may they include the file in any collection of files for which a fee is charged.  Any exception to these rules requires written permission from the author.

Except as provided by fair use provisions of the United States copyright law, no extracts or quotations from this file may be used that do not consist of whole pages unless permission has been granted by the author (and by Birkhäuser Boston if appropriate).

The permission granted for use of the whole file and the prohibition against charging fees extend to any partial file that contains only whole pages from this file, except that the copyright notice on this page must be included in any partial file that does not consist exclusively of the front cover page. Such a partial file shall not be included in any derivative work unless permission has been granted by the author (and by Birkhäuser Boston if appropriate).

Inquiries concerning print copies of either edition should be directed to Springer Science+Business Media Inc.


Terms and Conditions for Stokes's Theorem and Whitney Manifolds


Original Digital Edition, not to be sold, no ISBN
©2021 Anthony W. Knapp
Published by the Author

All rights reserved.  This file is the original digital edition of the above named book.  The text, images, and other data contained in this file, which is in portable document format (PDF), are proprietary to the author, and the author retains all rights, including copyright, in them.  The use in this file of trade names, trademarks, service marks, and similar items, even if they are not identified as such, is not to be taken as an expression of opinion whether they are subject to proprietary rights.

The file is made available for limited noncommercial use for purposes of education, scholarship, and research, and for these purposes only, or for fair use as understood in the United States copyright law.  Users may freely download this file for their own use and may store it, post it online, and transmit it digitally for purposes of education, scholarship, and research.  They may not convert it from PDF to any other format (e.g., EPUB), they may not edit it, and they may not do reverse engineering with it.   In transmitting the file to others or posting it online, users must charge no fee, nor may they include the file in any collection of files for which a fee is charged.

Each user of this file is granted permission to make one printed copy of the entire book for personal use toward education, scholarship, and research, and for these purposes only.  This personal printed copy must not be sold in whole or part. Any exception to these rules concerning the file and its printing requires written permission from the author.

Except as provided by fair use provisions of the United States copyright law, no extracts or quotations from this file may be used that do not consist of whole pages unless permission has been granted by the author.

The permission granted for use of the whole file and the prohibition against charging fees extend to any partial file that contains only whole pages from this file, except that the copyright notice on this page must be included in any partial file that does not consist exclusively of the front cover page.  Such a partial file shall not be included in any derivative work unless permission has been granted by the author.


Terms and Conditions for Lie Groups Beyond an Introduction

Digital Second Edition, not to be sold, no ISBN
©2023 Anthony W. Knapp
Published by the Author

All rights reserved.  The Author (Anthony W. Knapp) has granted a license to the original Publisher (Birkhäuser Boston, c/o Springer Science+Business Media, 233 Spring Street, New York, NY 10013, USA) for the full and exclusive rights covered under the copyright of this book and all revisions of it insofar as they concern print media.  These rights include the right to publish and distribute printed copies of the book throughout the world in English and in all other languages. Accordingly this work may not be transcribed or translated  in whole or in part without the written permission of the Publisher, except for brief excerpts in connection with reviews or scholarly analysis and except for other fair use as understood in the copyright law.

The Author has reserved to himself all electronic rights to this book.  The electronic file of the book is made available throughout the world for limited noncommercial use for purposes of education, scholarship, and research, and for these purposes only, or for fair use as understood in the United States copyright law.  Users may freely download this file for their own use and may store it, post full pages of it online, and transmit full pages of it digitally for purposes of education, scholarship, and research.  They may not convert it from PDF to any other format (e.g., EPUB), they may not edit it, and they may not do reverse engineering with it.  In transmitting full pages of the file to others or posting pages online, users must include the copyright page, they must charge no fee, and they may not include the file in any collection of files for which a fee is charged.  Any exception to these rules requires written permission from the author.

Last modified: 9/1/2023