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enTaming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century
http://www.maa.org/publications/maa-reviews/taming-the-unknown-a-history-of-algebra-from-antiquity-to-the-early-twentieth-century
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/TamingUnknown.jpg" width="94" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/26/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>The prominent (and recently deceased) historian of mathematics Ivor Grattan-Guinness observed with regret back in the 1990s that “the history of mathematics is a classic example of a ghetto subject: too mathematical for historians and too historical for mathematicians.” To which he added that it was “both too historical and too mathematical for modern professionalized philosophers” and that “specialists in mathematical education are little more inclined to take history seriously than are professional mathematicians.” One might wonder where that leaves the</p></div></div></div>Mon, 28 Jul 2014 17:32:54 +0000fqgouvea450349 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/taming-the-unknown-a-history-of-algebra-from-antiquity-to-the-early-twentieth-century#commentsPeter Lax, Mathematician: An Illustrated Memoir
http://www.maa.org/publications/maa-reviews/peter-lax-mathematician-an-illustrated-memoir
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/LaxMathematician.jpg" width="98" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/19/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>This is a charming but quirky amalgam of biography, memoir and reminiscence about the renowned mathematician Peter Lax written by Reuben Hersh, Lax’s friend and former Ph.D. student.</p></div></div></div>Mon, 12 Jan 2015 18:21:13 +0000fqgouvea606682 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/peter-lax-mathematician-an-illustrated-memoir#commentsEarly Fourier Analysis
http://www.maa.org/publications/maa-reviews/early-fourier-analysis
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/EarlyFourierAnal.jpg" width="97" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/19/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>This is a polished introduction to classical Fourier analysis designed for students early in their undergraduate career, perhaps even just after a third term of calculus. The author, well-known number-theorist Hugh Montgomery, says that such students will find in his book “… a gentle introduction to the art of writing proofs and will be better prepared for advanced calculus and complex variables”.</p></div></div></div>Wed, 17 Dec 2014 15:15:44 +0000fqgouvea580608 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/early-fourier-analysis#commentsThe Fourth Dimension: Toward a Geometry of Higher Reality
http://www.maa.org/publications/maa-reviews/the-fourth-dimension-toward-a-geometry-of-higher-reality
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/FourthDimensionRucker.jpg" width="94" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/26/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>If one wants a book on what the fourth dimension is from a variety of different viewpoints, <em>The Fourth Dimension: Toward a Geometry of Higher Reality</em> by Rudy Rucker might be the one. First published in 1984, the book takes the reader on a mystical and wonderful journey to what the fourth dimension is and how one can think about it. Rucker pulls in the reader from the first page of the book. “The fourth dimension is a direction different from all the directions in normal space. Some say that time is the fourth dimension… And this is, in a sense, true.</p></div></div></div>Thu, 30 Oct 2014 18:13:58 +0000fqgouvea516255 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/the-fourth-dimension-toward-a-geometry-of-higher-reality#commentsMathematics for the Liberal Arts
http://www.maa.org/publications/maa-reviews/mathematics-for-the-liberal-arts
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/MathLibArtsBrown.jpg" width="99" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/19/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>This is a textbook designed for use in a general education mathematics course for students with no specific skill needs in mathematics. It is part of a new series of textbooks being produced by CRC publishing. One of the goals of the series is to provide quality texts at affordable prices. I would argue that this book fulfills that promise: as of February 9, 2015, its price on Amazon.com was $80.94 — a bargain for a hardcover textbook. There is a free ebook copy available for download with a password provided in the front of the book.</p></div></div></div>Mon, 26 Jan 2015 18:12:36 +0000fqgouvea608464 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/mathematics-for-the-liberal-arts#commentsThe Whole Truth About Whole Numbers
http://www.maa.org/publications/maa-reviews/the-whole-truth-about-whole-numbers
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/WholeTruthWholeNumbers.jpg" width="96" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/19/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>Several years ago when I was teaching college mathematics, I taught a course designed to give future teachers of elementary and middle school the basics of mathematics. It became clear very quickly how important that course was, for there were basic concepts covered in that class that were essential knowledge the students did not have. It was a very fun class for me to teach, for there were many times when the light bulb would shine and the students would say something like, “So that’s why that works.”</p></div></div></div>Fri, 30 Jan 2015 18:17:08 +0000fqgouvea609569 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/the-whole-truth-about-whole-numbers#commentsPell and Pell-Lucas Numbers with Applications
http://www.maa.org/publications/maa-reviews/pell-and-pell-lucas-numbers-with-applications
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/PellandPell.jpg" width="100" height="135" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/19/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>This book can be used as a standalone or supplemental text in an upper level undergraduate, number-theory course. It could also be used as a supplemental text in a discrete mathematics course. Finally, it could also be read simply for its recreational flavor by a person in any field.</p></div></div></div>Thu, 11 Dec 2014 19:28:00 +0000fqgouvea573855 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/pell-and-pell-lucas-numbers-with-applications#commentsLectures on the Riemann Zeta Function
http://www.maa.org/publications/maa-reviews/lectures-on-the-riemann-zeta-function
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/LectRiemannZetaFunct.jpg" width="99" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/25/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>In his 1859 memoir “On the number of prime numbers less than a given quantity,” Riemann showed that the zeta-function has a key role in studying the distribution of prime numbers. Among several other assertions, he made an explicit connection between the distribution of the prime numbers and the distribution of the zeros of the Riemann zeta-function. This connection motivated many mathematicians to study those zeros from several points of view.</p></div></div></div>Wed, 22 Oct 2014 16:54:28 +0000fqgouvea506488 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/lectures-on-the-riemann-zeta-function#commentsProbability: The Classical Limit Theorems
http://www.maa.org/publications/maa-reviews/probability-the-classical-limit-theorems
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/ProbabClassLimitTheorems.jpg" width="95" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/16/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>Henry McKean’s new book <em>Probability: The Classical Limit Theorems</em> packs a great deal of material into a moderate-sized book, starting with a synopsis of measure theory and ending with a taste of current research into random matrices and number theory. The book ranges more widely than the title might suggest.</p></div></div></div>Wed, 28 Jan 2015 18:33:55 +0000fqgouvea608839 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/probability-the-classical-limit-theorems#commentsBeginning Partial Differential Equations
http://www.maa.org/publications/maa-reviews/beginning-partial-differential-equations
<div class="field field-name-field-cover-image field-type-image field-label-hidden"><div class="field-items"><div class="field-item even"><img src="http://www.maa.org/sites/default/files/BeginPDEsOneil.jpg" width="91" height="140" alt="" /></div></div></div><div class="field field-name-field-review-date field-type-datetime field-label-inline clearfix"><div class="field-label">Review Date: </div><div class="field-items"><div class="field-item even"><span class="date-display-single">02/15/2015</span></div></div></div><div class="field field-name-field-maa-review field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>What is the best progression of ideas for a student learning PDEs for the first time? This book takes the approach of focusing on two major equations first: the Heat Equation and Wave Equation are the second order examples of choice. The author uses them to good effect to highlight many of the important features of partial differential equations. Fourier series are introduced early and used to handle boundary value problems on finite domains. Separation of variables is the major tool.</p></div></div></div>Mon, 21 Apr 2014 16:58:50 +0000fqgouvea386239 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/beginning-partial-differential-equations#comments