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<meta content="text/html; charset=ISO-8859-1" http-equiv="content-type"><title>Free Mathematics Texts</title>
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<h1>FreeMathTexts.org</h1>
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<p>For people who want to learn or teach mathematics on the basis of <a href="/ReasonableTexts.php">reason …</a></p>
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<li><a href="/index.php">HOME</a>
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<li><a href="/ReasonableTexts.php"> ReasonableTexts</a></li>
<li><a href="/ChapterThirteen.php"> Chapter Thirteen</a></li>
<li><a href="/MathAnxiety.php"> Math Anxiety</a></li>
<li><a href="/Reactions.php"> Reactions</a></li>
<li><a href="/InPreparation.php"> The FUTURE</a></li>
<li><a href="/Acknowledgments.php"> Acknowledgments</a></li>
<li><a href="/About.php"> About</a></li>
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<li><a href="/IntegratedA2DC/index.php"> Integrated A2DC</a>
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<li><a href="/IntegratedA2DC/LongitudinalStudy.pdf"> Longitudinal Study</a></li>
<li><a href="/IntegratedA2DC/Facts.php"> Evidence</a></li>
<li><a href="/IntegratedA2DC/Contents.php"> Contents</a></li>
<li><a href="/IntegratedA2DC/LagrangeDifferentialCalculus.php"> Lagrange Differential Calculus</a></li>
<li><a href="/IntegratedA2DC/Downloads.php"> Downloads</a></li>
<li><a href="/IntegratedA2DC/EffectOfLengthOfSequence.zip"> Length Effect</a></li>
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<li><a href="/IntegratedA2BA/index.php"> Integrated A2BA</a>
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<li><a href="/IntegratedA2BA/index.php"> Introduction</a></li>
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<li><a href="/IntegratedA2BA/Downloads.php"> Downloads</a></li>
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<li><a href="/Standalones/index.php">Standalones</a>
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<li><a href="/Standalones/RBA/index.php"> Reasonable Basic Algebra</a>
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<li><a href="/Standalones/RBA/Contents.php"> Contents</a></li>
<li><a href="/Standalones/RBA/Downloads.php"> Downloads</a></li>
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<li><a href="/Standalones/RAF/index.php"> Reasonable Algebraic Functions</a>
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<li><a href="/Standalones/RAF/Contents.php"> Contents</a></li>
<li><a href="/Standalones/RAF/Downloads.php"> Downloads</a></li>
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<li><a href="/Standalones/RDA/index.php"> Reasonable Decimal Arithmetic</a>
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<li><a href="/Standalones/RDA/Contents.php"> Contents</a></li>
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<li><a href="/Standalones/RTF/index.php"> Reasonable Transc Functions</a>
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<li><a href="/Standalones/RTF/Contents.php"> Contents</a></li>
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<li><a href="/References/index.php"> References</a>
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<li><a href="/References/Papers/index.php">Papers on Differential Calc.</a></li>
<li><a href="/References/AmatycReview/index.php">AMATYC Review</a>
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<li><a href="/References/AmatycReview/MathUnderground.php">Mathematical Underground</a></li>
<li><a href="/References/AmatycReview/Math4Learning.php">Mathematics For Learning</a></li>
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<li><a href="/References/AncientArithmetic/index.php">Ancient Arithmetic.</a></li>
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<li><a href="/AncillariesManagement/index.php"> Ancillaries Management</a>
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<li><a href="/AncillariesManagement/Contents.php"> Contents</a></li>
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<li><a href="/Practical/index.php"> Practical</a>
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<li><a href="/Practical/TeacherUserManual.php"> Teacher User Manual</a></li>
<li><a href="/Practical/StudentUserManual.php"> Student User Manual</a></li>
<li><a href="/Practical/Support.php"> Support</a></li>
<li><a href="/Practical/LaTeX.php"> LaTeX</a></li>
<li><a href="/Practical/CopyLeft.php"> CopyLeft</a></li>
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<li><a href="/Disquisitions/index.php"> Disquisitions</a>
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<li><a href="/Disquisitions/LagrangeDC/index.php"> Lagrange DC</a></li>
<li><a href="/Disquisitions/LagrangeDC/ADifferentStone.php"> A Different Stone</a></li>
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<li><a href="/Notes/"><b>UNDERGROUND</b></a>
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<h1>Home</h1>
<hr style="width: 100%; height: 2px;"><br>
The texts on <b>FreeMathTexts.org</b> are <a href="ReasonableTexts.php"><u>reasonable</u></a> in that they acknowledge a number of <em>facts</em>, in particular the facts that:
<ul>
<li><a href="MathAnxiety.php"><u>Math Anxiety</u></a> invariably originates with <em>bad</em> textbooks:
<ul>
<li>in the best cases because the <i>textbooks</i> leave so much going "without saying" that <em>reason</em> has become invisible,</li>
<li>in the worst cases because the <i>textbooks</i> have been gutted down to disconnected "topics" so that no <em>reason</em> is left.</li>
</ul>
<li> Reducing learning mathematics to memorizing "mathematical facts" does <m>not</m> work. Witness "developmental mathemtics" which, with <em>memorization</em> at its core, has now been in existence for forty some years without having ever shown any sign of success.
</li>
<li> Contrary to what most people believe, students and teachers alike, there is nothing inherently difficult in mathematics up to and including the "mathematics of change", also known as Differential Calculus, which everybody should be able to learn.
</li>
<li>The truth or falsehood of mathematical statements does <em>not</em> originate in textbooks, or in teachers saying so, but because the <em>real world</em> makes them necessarily so.
</li>
</ul>
<br>
So, in contrast with currently available commercial textbooks, the texts to be found on <b>FreeMathTexts.org</b>
<ul>
<li>emphasize a very few but very powerful ideas on the basis of which everything finds its natural place and can then be questioned as thoroughly as the student feels without hitting a dead end,
</li>
<li>appeal only to <em>common sense</em> and make no assumption of any kind about the students,
</li>
<li>are focussed on helping the students convince themselves that statements need to be justified and their truth supported with arguments,
</li>
<li>pay pedantic attention to matters of language wich often impede understanding.
</li>
</ul>
A further discussion of these facts, and of how the texts on <b>FreeMathTexts.org</b> attempt to take them into consideration, can be found in <a href="ChapterThirteen.php"><u>Chapter Thirteen</u></a>.
<br>
<br>
Two more facts govern the development of the texts on <b>FreeMathTexts.org</b>, namely that:
<ul>
<li>In order to be usable in mathematics classes, the texts to be found here were designed as parts of "bundles" suitable for "turnkey" classroom use in that they include the <em>ancillaries</em>, that is all that is needed, <b><i>Homeworks</i></b>, <b><i>Quizzes</i></b>, <b><i>Reviews</i></b>, <b><i>Exams</i></b>, in a form that makes it easy for the instructor to follow and assess their students' progress as well as adjust the materials to their own situation.
</li>
<li><em>Mathematical exposition</em> is no one's "intellectual property". All the materials on <b>FreeMathTexts.org</b> can thus be freely downloaded, used, copied, distributed and modified under the terms of the <a href="http://www.gnu.org/licenses/fdl.html"><u>GNU Free Documentation License</u></a>.
</li>
</ul>
<hr style="width: 100%; height: 2px;">
As of this date, two titles have been completed and one is in progress. All are freely available:
<ul>
<li><IMG SRC="FrontPictureRBA.jpeg" ALT="logo image" WIDTH=80 HEIGHT=80>
<a href="Standalones/RBA/index.php"><u><b>Reasonable Basic Algebra.</b></u></a> It is complete but a <a href="Standalones/RBA/Contents.php"><u>significant modification</u></a> will be made in the text "soon". Also, the <em>ancillaries</em> HAVE (FINALLY) BEEN recast into the newly developed uniform format and are therefore usable with <b>ADM</b>, the Graphic User Interface.
Printed copies of the <em>text</em> can be purchased from <a href="http://www.lulu.com/browse/search.php?fSearchFamily=0&fSearch=Reasonable+basic+algebra&fSubmitSearch=Go&fSearchSource=a&showingSubPanels="><u><b>Lulu</b></u></a> for $8.40 plus shipping*.
</li>
<br>
<li> <IMG SRC="FrontPictureRAF.jpeg" ALT="logo image" WIDTH=100 HEIGHT=65> <a href="Standalones/RAF/index.php"><u><b>Reasonable Algebraic Functions.</b></u></a> ("Verbose edition".) The following <em>ancillaries</em>, in the newly developed uniform format and therefore usable with <b>ADM</b>, the Graphic User Interface, are available: <b>Homeworks 1 to 14</b> as well as <b>Reviews I and II</b>. The rest should be available soon.
<br>
<br>
A <a href="Standalones/RAF/index.php"><u><b>"terse edition" of RAF.</b></u></a> (337 pages instead of 577) is now available which tries not to answer questions yet to be asked by the readers. (The "verbose" edition will remain available for those who do have these questions.) The <em>ancillaries</em> remain mostly those of the verbose edition but, where needed, an appropriate version of the ancillaries has been supplied.
Printed copies of the <em>text</em> can be purchased from <a href="http://www.lulu.com/product/paperback/reasonable-algebraic-functions-5-1-(terse)/16339442#detailsSection"><u><b>Lulu</b></u></a> for $9.57 plus shipping*.
</li>
<br>
<li> <IMG SRC="FrontPictureRDA.jpeg" ALT="logo image" WIDTH=100 HEIGHT=65> <a href="Standalones/RDA/index.php"><u><b>Reasonable Decimal Arithmetic</b></u></a> Contrary to what I did in the past, I am making the <em>text</em> available for download as I rework it from previous, unsatisfactory versions. The hope is that this will entice people to get involved in its development. There are no <em>ancillaries</em> available at this time.
</li>
<br>
<li>
The <a href="AncillariesManagement/Contents.php"><u><b>system for managing the ancillaries</b></u></a> itself is freely <a href="AncillariesManagement/Downloads.php"><u><b>available</b></u></a> to anyone wanting to develop their own ancillaries for these or any other texts. The system is described in an <a href="http://tug.org/pracjourn/2010-2/schremmer.html"><u>article</u></a> which appeared in the <b>PracTeX <em>Journal</em></b> on 2011-02-07. It includes the <b>Assessment Document Maker</b> (<b>ADM</b>), the graphical user interface designed by <b>M. Sharpe</b> which allows the user to <em>generate</em> the ancillaries in a variety of formats.
</li>
</ul>
* I would like to acknowledge the fact that <b>Lulu</b> waived its "fees" inasmuch as I do not collect any royalties.
<hr style="width: 100%; height: 2px;">
<!-- Last, but certainly not least, <b>Dax Mickelson</b> just started a <a href="http://www.daxm.net/freemathtexts"><u><b>forum</b></u></a>. It seems to be the place where to go to tell the world all that is wrong with the stuff on this site---but it's also OK to point out what's nice---and/or to discuss the <a href="Notes"><u><b>Notes From the Mathematical Underground</b></u></a>. -->
</p>
And, for those interested, I have resumed my <a href="Notes"><u>Notes From The Mathematical Underground</u></a> (September 19, 2011.)
<hr style="width: 100%; height: 2px;">
There are of course other possible approaches to mathematical exposition. For instance, <a href="http://faculty.ccp.edu/faculty/dsantos/pages/lecture_notes.html"><u>Santos' notes</u></a> are free texts that follow the <a href="http://en.wikipedia.org/wiki/Edmund_Landau"><u>Edmund Landau</u></a> style of presentation. More generally, there are several sites in which free mathematical texts can be found such as <a href="http://www.math.gatech.edu/%7Ecain/textbooks/onlinebooks.html"><u>Online Mathematics Textbooks</u></a>, <a href="http://spot.colorado.edu/%7Edubin/bookmarks/b/1240.html"><u>Online Science and Math Textbooks</u></a>, etc. And then there is <a href="http://iberry.com/"><u>iBerry</u></a>, with <em>Open CourseWare</em> and <em>Higher Education Resources</em>, which describes itself as "the first academic porthole", that is as "a small but cheerful window in the side of the Higher Education ship for purposes of illumination and enlightenment." And there is
<a href="http://karlscalculus.org"><u> Karl's Calculus Tutor</u></a>, a friendly view of calculus even if, inasmuch as it uses the "standard" approach, it is not as friendly as Lagrange's approach.
<br>
<br>
<hr style="width: 100%; height: 2px;">
The above pulldown menus are not working under <em>Internet Explorer</em> because Microsoft feels above complying with standards. In order to reach the sub-pages use the following links:
<br>
<a href="ReasonableTexts.php"><u><b>Reasonable Texts</b></u></a>
<br>
<a href="ChapterThirteen.php"><u><b>Chapter Thirteen</b></u></a>
<br>
<a href="MathAnxiety.php"><u><b>Math Anxiety</b></u></a>
<br>
<a href="Reactions.php"><u><b>Reactions</b></u></a>
<br>
<a href="InPreparation.php"><u><b>The FUTURE</b></u></a>
<br>
<a href="Acknowledgments.php"><u><b>Acknowledgments</b></u></a>
<br>
<a href="About.php"><u><b>About the author</b></u></a>
<br>
<hr style="width: 100%; height: 2px;">
If you are having <em>any</em> trouble with links and/or downloads, <em>please</em>
<a href="mailto:Schremmer.Alain@freemathtexts.org"> <u>let me know</u></a>.
<br>
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<p class="date">Page Updated November 27, 2011 at 7:45 pm EST</p>
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