FREE PDF FILES (Mathematics)

The YOUPUBLISH web site that we previously used to distribute our files appears to have dropped into a black hole. If you need any of our files please write to me thomson@sfu.ca and I will send you a link to access the files without charge. [November 2011]

The texts currently available are:

1. ELEMENTARY REAL ANALYSIS (undergraduate)
2. REAL ANALYSIS (graduate)
3. MATHEMATICAL DISCOVERY (freshman or senior high school)
4. THE CALCULUS INTEGRAL (post calculus [experimental])
5. THEORY OF THE INTEGRAL (specialist)

THEORY OF THE INTEGRAL

New book to be launched in April 2012.

Theory of the Integral, Brian S. Thomson, ClassicalRealAnalysis.com (2012), [ISBN 1467924393]

Prepublication PDF file: FREE PDF FILE date Nov 27 2011

Watch for updates on our web page and please send comments to the author.

This text is intended as a treatise for a rigorous course introducing the elements of integration theory on the real line. All of the important features of the Riemann integral, the Lebesgue integral, and the Henstock-Kurzweil integral are covered. The text can be considered a sequel to the four chapters of the more elementary text THE CALCULUS INTEGRAL which can be downloaded from our web site. For advanced readers, however, the text is self-contained.

Book launch of "Mathematical Discovery"

Mathematical Discovery
List Price: $15.49



Mathematical Discovery
Authored by Andrew M Bruckner, Brian S Thomson, Judith B Bruckner

This book is an outgrowth of classes given at the University of California, Santa Barbara, mainly for students who had little mathematical background. Many of the students indicated they never understood what mathematics was all about (beyond what they learned in algebra and geometry). Was there any more mathematics to be discovered or created? How could one actually discover or create new mathematics? In order to give these students some sort of answers to such questions, we designed a course in which the students could actually participate in the discovery of mathematics.


ISBN/EAN13: 1453892923 / 9781453892923
Page Count: 268
Binding Type: US Trade Paper
Trim Size: 7" x 10"
Language: English
Color: Black and White

Go to our web site
http://classicalrealanalysis.com/DISCOVERY.aspx
for FREE PDF FILES! Or purchase an inexpensive paperback from
https://www.createspace.com/3493013
Make sure to use the discount code MD2S9X2Q to get 20% off.

To Download BBT as an E-Book.

To obtain a copy of our graduate level real analysis textbook,
REAL ANALYSIS, Bruckner, Bruckner & Thomson




NO LONGER USING WebDeliverySolutions.com ...Just go to our web site for download instructions.

To Download TBB as an E-Book.

Trying out a new way of getting our PDF files to the end user.

So this is just an experiment. To purchase a E-book version (really just a huge PDF
file) of our undergraduate real analysis textbook:

ELEMENTARY REAL ANALYSIS by Bruckner, Thomson, & Bruckner.

This is a large PDF file intended for viewing (in landscape) on a laptop or computer screen. All references are hyperlinked. Let us know if it doesn't work for your Kindle or IPad2 and we will design something appropriate.

The paging is different from the paperback version, but all references and numbering is otherwise the same.

NO LONGER USING WebDeliverySolutions.com. JUST GO TO OUR WEB SITE.

NEW BOOK--MATHEMATICAL DISCOVERY

We are preparing a new book on Mathematical Discovery. It is intended for students with just the usual high school background in mathematics (algebra and geometry) who wish to learn how mathematicians discover new methods to attack problems. It is based on a course Andy Bruckner gave to students at UC Santa Barbara for non math majors, covering interesting topics that require less background preparation than the usual university-level courses would need.

There will be (as usual) FREE PDF FILES as well as a trade paperback version. The first chapter on Tilings discusses the famous problem of "squaring the rectangle," i.e., tiling a rectangle with a number of unequal sized squares. You can download this one now.

Riemann integral indeed?

For fans of this BLOG and the DRIP crusade (yea, both of you) it may appear that I have gone to the dark side since my two most recent papers are studies of properties of the Riemann integral:

• B S Thomson, "Monotone convergence theorem for the Riemann integral", American Math Monthly, Vol. 117, no. 6, June-July 2010.
  

• B S Thomson, "Characterizing the indefinite Riemann integral", Real Analysis Exchange, 2010 [to appear].
  

You can download preprints from here and here respectively. I hope you will (both) grant me absolution if I promise to return to a polemic on this unfortunate integral. Please write.