Basic Algebra
,Digital Second Editions
By Anthony W. Knapp
Basic Algebra
Advanced Algebra
Basic Real Analysis,
with an appendix “Elementary Complex Analysis”
Advanced Real Analysis
,Anthony W. Knapp
Basic Algebra
Along with a Companion Volume Advanced Algebra
Digital Second Edition, 2016
Published by the Author
East Setauket, New York
, Anthony W. Knapp
81 Upper Sheep Pasture Road
East Setauket, N.Y. 11733–1729, U.S.A.
Email to:
Homepage: www.math.stonybrook.edu/∼aknapp
Title: Basic Algebra
Cover: Construction of a regular heptadecagon, the steps shown in color sequence; see page 505.
Mathematics Subject Classification (2010): 15–01, 20–01, 13–01, 12–01, 16–01, 08–01, 18A05,
68P30.
First Edition, ISBN-13 978-0-8176-3248-9
c
"2006 Anthony W. Knapp
Published by Birkhäuser Boston
Digital Second Edition, not to be sold, no ISBN
c
"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.
iv
,Digital Second Editions
By Anthony W. Knapp
Basic Algebra
Advanced Algebra
Basic Real Analysis,
with an appendix “Elementary Complex Analysis”
Advanced Real Analysis
,Anthony W. Knapp
Basic Algebra
Along with a Companion Volume Advanced Algebra
Digital Second Edition, 2016
Published by the Author
East Setauket, New York
, Anthony W. Knapp
81 Upper Sheep Pasture Road
East Setauket, N.Y. 11733–1729, U.S.A.
Email to:
Homepage: www.math.stonybrook.edu/∼aknapp
Title: Basic Algebra
Cover: Construction of a regular heptadecagon, the steps shown in color sequence; see page 505.
Mathematics Subject Classification (2010): 15–01, 20–01, 13–01, 12–01, 16–01, 08–01, 18A05,
68P30.
First Edition, ISBN-13 978-0-8176-3248-9
c
"2006 Anthony W. Knapp
Published by Birkhäuser Boston
Digital Second Edition, not to be sold, no ISBN
c
"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.
iv
