Books Authored or Edited by Anthony W. Knapp


Below is a list of my books, arranged in descending order of original publication date. Each edition is listed separately. Availability is noted for each.


Lie Groups Beyond an Introduction, Digital Second Edition

beyond2

Published by the author, 2021.
Digital version in PDF only, freely distributed, not to be sold.

820+xviii pages.

Available from the author here

To obtain miscellaneous information about the digital second edition, click here.  The miscellaneous information includes a list of chapter titles.  At present there are no corrections to this book.


Stokes's Theorem and Whitney Manifolds, Original Digital Edition

stokes

Published by the author, 2021.
Digital version in PDF only, freely distributed, not to be sold.
Distributed by Project Euclid free of charge with ISBN 978-1-4297-9988-1.
152+xviii pages.

Available from Project Euclid here.  Available from the author here

To obtain miscellaneous information about the original digital edition, click here.  The miscellaneous information includes a list of chapter titles.  At present there are no corrections to this book.


Advanced Real Analysis, Digital Second Edition

a2-1-real

Published by the author, 2016.  Corrected Version, 2017.
Digital version in PDF only, freely distributed, not to be sold.
Corrected version distributed by Project Euclid free of charge with ISBN 978-1-4297-9991-1.
620+xxviii pages.

Available from Project Euclid here.  Available from the author here

To obtain miscellaneous information about the digital second edition, click here.  The miscellaneous information includes a list of chapter titles, a list of corrections, archived copies of files of the uncorrected 2016 version, and information about the differences between the corrected 2017 version and the uncorrected 2016 version.


Basic Real Analysis, Digital Second Edition

b2-real

Published by the author, 2016.
Digital version in PDF only, freely distributed, not to be sold.
Distributed by Project Euclid free of charge with ISBN 978-1-4297-9999-7.
812+xxviii pages.

Available from Project Euclid here.  Available from the author here

To obtain miscellaneous information about the digital second edition, click here.  The miscellaneous information includes a list of chapter titles and a list of corrections.


Advanced Algebra, Digital Second Edition

a2-alg

Published by the author, 2016.
Digital version in PDF only, freely distributed, not to be sold.
Distributed by Project Euclid free of charge with ISBN 978-1-4297-9992-8.
730+xxviii pages.

Available from Project Euclid here.  Available from the author here.

To obtain miscellaneous information about the digital second edition, click here.  The miscellaneous information includes a list of chapter titles, a list of corrections, and a list of the few ways in which the digital second edition (2016) differs from the second printing (2015) of the first edition.


Basic Algebra, Digital Second Edition

b2-alg

Published by the author, 2016.
Digital version in PDF only, freely distributed, not to be sold.
Distributed by Project Euclid free of charge with ISBN 978-1-4297-9998-0.
736+xxvi pages.

Available from Project Euclid here.  Available from the author here

To obtain miscellaneous information about the digital second edition, click here.  The miscellaneous information includes a list of chapter titles, a list of corrections, and a list of the few ways in which the digital second edition (2016) differs from the second printing (2015) of the first edition.



Advanced Algebra, First Edition

Cornerstones, Birkhäuser, Boston, 2007.
ISBN: 0-8176-4522-5 (hardbound).
730+xxiv pages.

ISBN: 0-8176-4533-0 for the two-volume set, Basic Algebra and Advanced Algebra.

Warning:  A second printing of the 2007 first edition appeared in 2015 with many changes.  Externally it is identical to the 2007 version, but internally it is close in content to the digital second edition.  It can be distinguished at once from the 2007 version by a notation of the date on the copyright page. 

To obtain a file of the front matter and the final file of corrections of the first printing of the first edition, click here.

To obtain a list of corrections of the second printing of the first edition, combine the list of corrections for Advanced Algebra, digital second edition, with the list of ways the digital second edition (2016) differs from the second printing (2015) of the first edition; these both appear here.

The second printing is available from the publisher at http://www.springeronline.com/.


Basic Algebra, First Edition

Cornerstones, Birkhäuser, Boston, 2006.
ISBN: 0-8176-3248-4 (hardbound).
717+xxii pages.

ISBN: 0-8176-4533-0 for the two-volume set, Basic Algebra and Advanced Algebra.

Warning:  A second printing of the 2006 first edition appeared in 2015 with a great many changes, including changes to the numbering of pages.  Externally it is identical to the 2006 version, but internally it is close in content to the digital second edition.  It can be distinguished at once from the 2006 version by a notation of the date 2015 on the copyright page. 

To obtain a file of the front matter and the final file of corrections of the first printing of the first edition, click here.

To obtain a list of corrections of the second printing of the first edition, combine the list of corrections for Basic Algebra, digital second edition, with the list of ways the digital second edition (2016) differs from the second printing (2015) of the first edition; these both appear here.

The second printing is available from the publisher at http://www.springeronline.com/.


Advanced Real Analysis, First Edition

Cornerstones, Birkhäuser, Boston, 2005.
ISBN: 0-8176-4382-6 for the single volume.
465+xxii pages.

ISBN: 0-8176-4407-5 for the two-volume set, Basic Real Analysis and Advanced Real Analysis.

Available from publisher at http://www.springeronline.com/.

To obtain a file of the front matter and the final file of corrections of the first edition, click here.



Basic Real Analysis, First Edition

Cornerstones, Birkhäuser, Boston, 2005.
ISBN: 0-8176-3250-6 for the single volume.
653+xxii pages.

ISBN: 0-8176-4407-5 for the two-volume set, Basic Real Analysis and Advanced Real Analysis.

Available from publisher at http://www.springeronline.com/.

To obtain a file of the front matter and the final file of corrections of the first edition, click here.



Lie Groups Beyond an Introduction, Second Edition

Progress in Mathematics, vol. 140, Birkhäuser, Boston, 2002.
ISBN: 0-8176-4259-5.
812+xviii pages.

Available from publisher at http://www.springeronline.com/.

To obtain a file of the front matter and a list of corrections, click here.
Abstracts of chapters that are new or are substantially changed from the first edition are available here also.



Representation Theory of Semisimple Groups: An Overview Based on Examples, Paperback Edition

Princeton Landmarks in Mathematics, Princeton University Press, Princeton, New Jersey, 2001.
ISBN: 0-691-09089-0.
773+xx pages.

This is a paperback reprint of the hardback edition published in 1986.

Paperback edition available at http://press.princeton.edu.

To obtain a file of the front mater and a list of corrections, click here.



Representation Theory and Automorphic Forms; An Instructional Conference at the International Centre for Mathematical Sciences, Edinburgh, 1996

Edited with T. N. Bailey.

Proceedings of Symposia in Pure Mathematics, vol. 61, American Mathematical Society, Providence, Rhode Island, 1997.
479+viii pages.
ISBN 0-8218-0609-2.

Available from publisher by searching for author/editor "knapp" at http://www.ams.org/cgi-bin/bookstore/booksearch.

To obtain a file of the front matter, click here.



Lie Groups Beyond an Introduction, First Edition

Progress in Mathematics, vol. 140, Birkhäuser, Boston, 1996. Reprinted with corrections, 2001.
ISBN: 0-8176-3926-8 in both cases.
604+xvi pages

Out of print and replaced by second edition in 2002. A second printing of the 1996 edition included corrections on many pages. It can be distinguished from the original printing by the extra paragraph dated September 2000 at the end of the Preface. To obtain files of the corrected pages, click here.




Cohomological Induction and Unitary Representations

Written with D. A. Vogan.

Princeton Mathematical Series, vol. 45, Princeton University Press, Princeton, New Jersey, 1995.
ISBN: 0-691-03756-6.
948+xviii pages.

Available from publisher at http://presss.princeton.edu.

To obtain a file of the front matter, a file of the introduction, and a list of corrections, click here.



Elliptic Curves

Princeton Mathematical Notes, vol. 40, Princeton University Press, Princeton, New Jersey, 1992.
ISBN: 0-691-08559-5.
427+xvi pages.

Available from publisher at http://press.princeton.edu.

To obtain a file of the front matter and lists of corrections, click here.




CRM Summer School Course on Representations of Real Reductive Groups

Publications CRM, Université de Montréal, Montréal, 1990.
ISBN: 2-921120-09-7.
258+viii pages.

Out of print and not available.

To obtain a file of the front matter, click here.



Lie Groups, Lie Algebras, and Cohomology

Princeton Mathematical Notes, vol. 34, Princeton University Press, Princeton, New Jersey, 1988.
ISBN: 0-691-08498-X.
510+xii pages

Available from publisher at http://press.princeton.edu.

To obtain a file of the front matter and a list of corrections, click here.




Representation Theory of Semisimple Groups: An Overview Based on Examples, Hardback Edition

Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, New Jersey, 1986.
ISBN: 0-691-08401-7.
774+xviii pages

Out of print and replaced by paperback edition in 2001.

To obtain a file of the front matter and a list of corrections, click here.



Denumerable Markov Chains, Second Edition

Written with J. G. Kemeny and J. L. Snell. With a chapter on Markov random fields by David Griffeath.

Graduate Texts in Mathematics, vol. 40, Springer-Verlag, New York, 1976; reprinted 1991 and 2005.
ISBN: 0-387-90177-9.
484+xii pages.

Available from publisher at http://www.springeronline.com/.

To obtain a file of the front matter, click here.



Denumerable Markov Chains, First Edition

Written with J. G. Kemeny and J. L. Snell.

University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1966.
439+xii pages.

Out of print and replaced by second edition in 1976.

To obtain a file of the front matter, click here.





Last modified: 9/1/2023