[BBT] Real Analysis,
Second Edition (2008)
Andrew M. Bruckner, Judith B. Bruckner and Brian S. Thomson
ISBN:1434844129
EAN-13:9781434844125
This is the second edition of our graduate level real analysis textbook formerly published by Prentice Hall (Pearson) in 1997.
In addition to "nearly" free PDF files of this text that have been available for a while now, we are now offering a trade paperback version. This will soon be listed on Amazon, and is already listed on CreateSpace. For details on ordering or for download instructions visit our website.
Thursday, July 31, 2008
Tuesday, July 8, 2008
YouPublish chooses us a "Most Intriguing Creation"
from their July 8 emailing to their clients ...
Editor's Picks
Featured Creators
Most Intriguing Creation
[BBT] Real Analysis , 2nd Edition (2008)
By ClassicalRealAnalysis.com
With A.M. Bruckner, J.B. Bruckner, and B.S. Thomson
A YouPublish top-seller publishing downloadable versions of mathematics textbooks and driving traffic to their website.
Classical Real Analysis provides some relief to cash-strapped students and their families by offering digital textbooks, online free of charge or almost, or in hard copies for a small fraction of the cost of traditional books. The digital books can also be easily customized and updated, eliminating the waste experienced with traditionally published textbooks.
Publishers like Classical Real Analysis know colleges and universities must embrace new methods of textbook development and distribution if they want to rein in runaway costs. YouPublish is proud to support this movement toward affordability and sustainability.
Check out their works at:
youpublish.com/classicalrealanalysis
Editor's Picks
Featured Creators
Most Intriguing Creation
[BBT] Real Analysis , 2nd Edition (2008)
By ClassicalRealAnalysis.com
With A.M. Bruckner, J.B. Bruckner, and B.S. Thomson
A YouPublish top-seller publishing downloadable versions of mathematics textbooks and driving traffic to their website.
Classical Real Analysis provides some relief to cash-strapped students and their families by offering digital textbooks, online free of charge or almost, or in hard copies for a small fraction of the cost of traditional books. The digital books can also be easily customized and updated, eliminating the waste experienced with traditionally published textbooks.
Publishers like Classical Real Analysis know colleges and universities must embrace new methods of textbook development and distribution if they want to rein in runaway costs. YouPublish is proud to support this movement toward affordability and sustainability.
Check out their works at:
youpublish.com/classicalrealanalysis
Saturday, May 17, 2008
TOP TEN REASONS FOR DUMPING THE RIEMANN INTEGRAL #6
#6. It's all that improper stuff.
In all advanced mathematics the class of integrable functions includes an abundance of unbounded functions. It is a feature of the theory. There is nothing improper about such integrals because the definition of the integral includes them. All of the calculus drill on handling unbounded functions is dropped for advanced classes. But, in most cases, we still teach beginning students using the terminology and the methods of the nineteenth century.
The Riemann integral should be dumped if only to get rid of all this improper nonsense.
It even has its particularly stupid aspects. Suppose we wish to integrate f(x)=x^(-1/2) on the interval [0,1]. The fundamental theorem of the calculus says search for a suitable antiderivative, and F(x) = 2 x^(1/2) comes to mind fairly soon. So the integral has the value F(1)-F(0)= 2.
- im·prop·er (from Merriam-Webster Online Dictionary)
- Pronunciation:
- \(ˌ)im-ˈprä-pər\
- Function:
- adjective
- Etymology:
- Middle English, from Middle French impropre, from Latin improprius, from in- + proprius proper
: not proper: as (a:) not in accord with fact, truth, or right procedure : incorrect <improper inference> (b:) not regularly or normally formed or not properly so called (c:) not suited to the circumstances, design, or end <improper medicine> (d:) not in accord with propriety, modesty, good manners, or good taste <improper language>synonyms see indecorous .
How is an integral improper? Well, if your main point of reference is the unfortunate Riemann integral then, in any situation in which you need to perform an integration of a non-Riemann integrable function, that can only be considered "improper". Thus calculus students are drilled on the need to interpret all "proper" integrals as Riemann integrals. If a function is unbounded then it cannot have an integral but it might have an "improper" integral.
In all advanced mathematics the class of integrable functions includes an abundance of unbounded functions. It is a feature of the theory. There is nothing improper about such integrals because the definition of the integral includes them. All of the calculus drill on handling unbounded functions is dropped for advanced classes. But, in most cases, we still teach beginning students using the terminology and the methods of the nineteenth century.
The Riemann integral should be dumped if only to get rid of all this improper nonsense.
It even has its particularly stupid aspects. Suppose we wish to integrate f(x)=x^(-1/2) on the interval [0,1]. The fundamental theorem of the calculus says search for a suitable antiderivative, and F(x) = 2 x^(1/2) comes to mind fairly soon. So the integral has the value F(1)-F(0)= 2.
"But", howls the calculus professor, "You didn't notice that the function f(x) here is unbounded, therefore it has no integral properly speaking. You should have integrated on [t,1] for all t between 0 and 1 and then taken the limit as t tends to zero on the right. Then you must assert that the function does not have a proper integral but does have an improper integral equal to ...well yes, the same value 2 as before, but this is the correct procedure that must be followed."
Friday, April 25, 2008
That Book Costs How Much?
That Book Costs How Much?
Colleges and universities will need to embrace new methods of textbook development and distribution if they want to rein in runaway costs.
...for the full article use this link.
Saturday, April 19, 2008
Amazon offers [TBB] at a 28% discount.
Elementary Real Analysis: Second Edition (2008) by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (Paperback - April 7, 2008) |
| Buy new: List price $33.95. Amazon discount price: $24.40 |
| Get it by Tuesday, April 22 if you order in the next 49 hours and choose one-day shipping. |
| Eligible for FREE Super Saver Shipping. Anyone know how Amazon decides on such things? Is there some algorithm they use that every now and then pops out a discount on one of their listings? Are they partial to mathematics students and just want to offer cheaper books for them? [Not likely, my Marcel-Dekker book is listed at about the same price as a Mouton Rothschild.] |
Monday, April 14, 2008
[TBB] - fat and not so fat!
The full version of [TBB] Elementary Real Analysis, Thomson-Bruckner^2 pp. 684, is available (as the last post indicates) on both E-Store and Amazon.
Some users may prefer the smaller versions.
Volume One is a nice handy size at 408 pages and can be ordered too [HERE]. It includes Chapters 1-8 and is suitable for about two semesters of undergraduate real analysis. Volume Two is available [HERE] and includes Chapters 9-13, with 290 pages.
As always you may simply download a FREE PDF file containing all of the [TBB] material in an form optimized for on-screen viewing by visiting our web site.
Friday, April 11, 2008
[TBB] paperback version now available.
The second edition of our text, [TBB] Elementary Real Analysis (Thomson/Bruckner/Bruckner)
is now available as a trade paperback. For ordering information through E-store or Amazon.com please go to our web site: http://classicalrealanalysis.com/download.aspx
This is actually a pretty large paperback (7" x 10" x 1.7"). If you are a student having to carry it around between classes you might prefer to wait for the split version (Volumes I and II) that will be up shortly.
If you are on a budget... Well remember that all of our titles are there as FREE PDF files in a version optimized for on-screen viewing.
[BBT] Real Analysis, Second Edition (that's the graduate level textbook) can be downloaded now too, and will be available as a trade paperback in Summer 2008.
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