Download Free Books by Knapp

From lower down on this page, anyone can download free PDF files of certain editions of the seven 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. A sixth, Stokes's Theorem and Whitney Manifolds, is the "original digital edition" of a more recent book that was not published previously in any form.  A seventh is a preliminary version of the book Introduction to Lie Groups, which is to appear in  the series of graduate texts of the American Mathematical Society. 

All seven 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 page of the front matter of each book, usually on the fourth page of the front matter of the PDF file of each book.  Please adhere to these conditions.

Clickable PDF files available below

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 seven books.  The resulting files are offered below for most of the books 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.

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






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

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




IntroLie
Introduction to Lie Groupa, Preliminary Version 5, available here

Download front cover and inside together as PDF, xx MB




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

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: 8/4/2026