Download Free Books by Knapp

From lower down on this page, anyone can download free PDF files of certain editions of the six most recent books by Anthony W. Knapp.   These books are at the first-year graduate level or a little higher, depending on one's university.  Five of these books are "digital second editions" of books whose first editions were published by Birkhäuser Boston between 2002 and 2007. The other book, Stokes's Theorem and Whitney Manifolds, is the "original digital edition" of a more recent book that was not published previously in any form.  All six books are available for download:

The files of the books have been made available as a gift to the mathematics community worldwide.  The files are limited to noncommercial use for purposes of education, scholarship, and research.  Pages of the files may be freely stored electronically, freely accessed, freely copied, and freely transmitted.  A few specific conditions on electronic use are imposed to maintain the noncommercial nature of the files and ensure the integrity of the individual pages, including that no one is ever charged a fee for acquiring or looking at the files and that the files are not translated into any other computer format (e.g., EPUB).  The specific conditions are spelled out on a separate webpage, and a copy of them appears on page iv (the fourth page of the front matter) of the PDF file of each book.  Please adhere to these conditions.

Printing of the files is constrained legally.  One reason is that Springer Science+Business Media, Inc. has a stake in printed copies of the five books whose first editions were published by Birkhäuser Boston, as is explained in the brief history below, and Springer's permission may be required for printing.  For a discussion of these legal considerations, click here.  In the case of Stokes's Theorem and Whitney Manifolds, Project Euclid has a nonexclusive license to make printed copies of the books and offer them for sale at cost.  As of August 2023 no one else had such a license.

Clickable PDF files available here

Julien Tinnes pointed out to the author how one could add a clickable table of contents as a sidebar to any PDF book, and he kindly wrote a program to carry out most of the steps for preparing such a modified file for some of the above six books.  The resulting files are offered below for each book with directions saying "Download clickable version of front cover and inside together as PDF."  Using this feature is within the scope of the terms and conditions referenced above.

Unfortunately the exact way in which the clickable versions work depends on what PDF reader one uses, and terminology varies as well.  People who use Apple's program Preview or Adobe's program Adobe Reader will see that when one brings up a clickable file of each book the first time, the file appears initially on the screen in a window that has a sidebar on the left.  The chapter titles appear in the sidebar as separate entries with an arrow at the left of each.  If the arrow points to the chapter title, then clicking on the arrow will expand the listing to include section titles for that chapter.  Clicking on any chapter title or section title will take one to the first page of that chapter or section. 

In Preview one can switch between the Table of Contents in the sidebar and Thumbnails of all pages in the sidebar by using the View menu.  In Adobe Reader one can carry out this switch in the View > Navigation Panel menu by toggling between Bookmarks and Pages.  In Adobe Reader the same effect can be achieved also by means of icons in the far left column of the sidebar.

Many people view PDF files with a browser rather than Preview or Adobe Reader.  Some popular browsers that are free of charge are Google Chrome, Mozilla Firefox, Microsoft Edge, and Apple Safari.  All of these but Safari behave on first appearance in the same way that Preview and Adobe Reader behave.  Safari seems to require two extra steps to make use of the clickable table of contents.  A user points to a PDF file in Safari, then saves the file somewhere, and finally views the saved file in Preview.

Brief History

The author (Anthony W. Knapp) and the publisher (Birkhäuser Boston, Inc.) signed a contract dated March 2, 2001, for a book about Lie groups with the title Lie Groups Beyond an Introduction, Second Edition, and subsequently signed two contracts dated March 19 and 20, 2003, one for a book in real analysis and one for a book in algebra.  Under these contracts the author retained copyright but granted to the publisher a license for the "full and exclusive rights covered under the copyright of the Work and all revisions thereof .... ."  The contracts specifically stated, "The rights granted and assigned to the Publisher are limited to those rights concerning print media."

The book Lie Groups Beyond an Introduction, Second Edition, appeared in print in 2002.  For marketing purposes, each of the books contracted in 2003 was later subdivided into two smaller books, Basic and Advanced, which were printed separately.  The two real analysis books appeared in print in 2005, and the two algebra books appeared in print in 2006 and 2007.  No decision was made at that time concerning electronic publication.  Nevertheless, some companies and individuals took it upon themselves to publish and sell electronic versions of some or all of the books without permission; some of these electronic versions were of poor quality. 

Birkhäuser, a Swiss company, had been a member of the Springer group since 1985.  About 2010, Springer underwent some kind of reorganization, the Boston office of Birkhäuser was closed, and the operations of the Birkhäuser Boston office were consolidated into the New York office of Springer.  The contracts remained in force but with Springer Science+Business Media Inc. as publisher rather than Birkhäuser.  Thus Springer as of 2016 had "full and exclusive rights covered under the copyright of the Work" concerning print media, for both the original editions and the current revisions of Lie Groups Beyond an Introduction, Basic Algebra, Basic Real Analysis, Advanced Algebra, and Advanced Real Analysis.

Before 2016 the author never authorized anyone to publish any of the books in any form other than print media.  As of January 2016 he gave the general authorization described higher up on this page concerning PDF files of the two algebra books and the two analysis books.  He extended that authorization to Stokes's Theorem and Whitney Manifolds upon its publication in 2021 and extended that authorization to Lie Groups Beyond an Introduction, Second Edition, in 2023.  He is hoping that people will not be tempted to degrade the quality of the files by translating them into other formats.

Download Appropriate Edition of Each Book

For each book the front cover and the inside are available together as a single PDF file.  Both a standard version and a clickable version are available.  In both cases the inside pages are black and white only.  The printed area of the inside pages is 28 picas wide and 43 picas high.  It is centered left to right, so that if two printed pages on pages of size 8.5 inches by 11 inches are held up back to back, then their printed areas will coincide.  The size of the front cover is 6 inches by 9.5 inches and the placement of the cover in the PDF files is consistent with the printing on the inside pages.  Thumbnails of the front covers appear below.

b2-alg
Basic Algebra, Digital Second Edition, available here

Download front cover and inside together as PDF, 9.5 MB
Download clickable version of front cover and inside together as PDF, 9.6 MB
List of corrections  as of 3/16/2023



b2-realanal
Basic Real Analysis, with an appendix "Elementary Complex Analysis,"
          Digital Second Edition, available here

Download front cover and inside together as PDF, 10.3 MB
Download clickable version of front cover and inside together as PDF, 10.4 MB
List of corrections  as of 3/28/2023 



stokes
Stokes's Theorem and Whitney Manifolds, Original Digital Edition, available here

Download front cover and inside together as PDF, 2.9 MB
Download clickable version of front cover and inside together as PDF, 2.9 MB





a2-alg
Advanced Algebra, Digital Second Edition, available here

Download front cover and inside together as PDF, 10.3 MB
Download clickable version of front cover and inside together as PDF, 10.6 MB
List of corrections  as of 12/12/2022



a2-realanal
Advanced Real Analysis, Digital Second Edition, Corrected Version 2017, available here

Download front cover and inside together as PDF, 8.6 MB
Download clickable version of front cover and inside together as PDF, 8.6 MB
List of corrections  as of 12/12/2022



beyond2
Lie Groups Beyond an Introduction, Digital Second Edition, available here

Download front cover and inside together as PDF, 5.2 MB
Download clickable version of front cover and inside together as PDF, 6.2 MB
List of corrections as of 6/30/2023 included in download






Last modified: 9/1/2023