Featured Reviews
http://www.maa.org/maa-reviews/rss.xml
enA Guide to the Classification Theorem for Compact Surfaces
http://www.maa.org/publications/maa-reviews/a-guide-to-the-classification-theorem-for-compact-surfaces
<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/GuideCompSurfaces48751.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">03/24/2014</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 topological classification of compact surfaces is an immensely satisfying result. It says that a compact surface is completely determined topologically by its Euler characteristic, boundary components, and whether it is orientable. It is rare that a result so succinctly solves an interesting problem and even rarer that its proof be fairly accessible.</p></div></div></div>An Introduction to Algebraic Geometry and Algebraic Groups
http://www.maa.org/publications/maa-reviews/an-introduction-to-algebraic-geometry-and-algebraic-groups
<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/AlgGeomGeck.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">04/8/2014</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 brought back fond memories. Back around 1975, when I was a graduate student, my thesis advisor and some of his friends on the faculty organized an informal seminar for the purpose of going through the (then) recently published book <em>Linear Algebraic Groups</em> by Humphreys. I was invited to join them, and for a semester we all met once or twice a week, taking turns to lecture on the text.</p></div></div></div>Mathematics & Mathematics Education: Searching for a Common Ground
http://www.maa.org/publications/maa-reviews/mathematics-mathematics-education-searching-for-a-common-ground
<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/MathMathEduFried.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">04/4/2014</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>While there is a great deal of common ground between mathematics and mathematics education, academia being what it is the interaction between the two often degenerates into a turf war. There is the ongoing tussle regarding what courses should future teachers of mathematics take, whether there should be an emphasis on education classes or on learning more mathematics. As is mentioned in one article in this collection, this dispute can be summed up with a simple Venn diagram where the two circles represent education and math content.</p></div></div></div>Scientific Inference: Learning from Data
http://www.maa.org/publications/maa-reviews/scientific-inference-learning-from-data
<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/SciInferenceVaughan.jpg" width="100" 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">04/4/2014</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>On offer is everything physics majors need to know about statistics in about 200 pages. This consists of bits and pieces snatched from an introductory statistics course and a mathematical statistics course — perhaps three semesters of material. Included are most of the tests and intervals from a first course as well as lots of multiple integrals and maximum likelihood estimators. It sounds like a questionable enterprise, but the physicists do have a point.</p></div></div></div>Ramsey Theory for Discrete Structures
http://www.maa.org/publications/maa-reviews/ramsey-theory-for-discrete-structures
<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/RamseyThyPromel.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">04/4/2014</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 1986, when this reviewer was a freshman in college, he got and read a copy of Promel’s identically titled habilitation dissertation. This was the first work of that level that the reviewer had ever seen. Therefore he was very curious to learn how the topic had evolved during the 28 years that have passed since.</p></div></div></div>Jacques Tits Œuvres — Collected Works, Volumes I–IV
http://www.maa.org/publications/maa-reviews/jacques-tits-uvres-collected-works-volumes-i-iv
<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/TitsWorks1.jpg" width="100" height="138" 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">04/9/2014</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>Here at <stockticker w:st="on">MAA</stockticker> Reviews headquarters we are swimming in collected works volumes. Springer’s <a href="http://www.maa.org/search/node/%22Series%3A%20%20Springer%20Collected%20Works%20in%20Mathematics%22%20type%3Abook"><em>Collected Works in Mathematics</em></a> series is bringing back into print many of these, as we have noted. The massive four-volume <em>Oeuvres</em> of Jacques Tits has been published by the European Mathematical Society in their <em>Heritage of European Mathematics </em>series. They have done an amazing job.</p></div></div></div>Calculus: Early Transcendentals
http://www.maa.org/publications/maa-reviews/calculus-early-transcendentals-2
<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/CalcSullivan.jpg" width="100" height="125" 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">04/8/2014</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 main features of this calculus book are typical of such books. There are nearly 1,100 pages of content before you reach the first appendix. There are slightly less than 150 pages of appendices and then there is the index. All of this leads to a text that will build muscles while (hopefully) the brain is being filled with calculus. The coverage is the standard set of topics presented in the traditional three semesters of calculus; it begins with a brief review of precalculus and ends with differential equations.</p></div></div></div>Friedrich Hirzebruch Gesammelte Abhandlungen — Collected Papers I: 1951-1962
http://www.maa.org/publications/maa-reviews/friedrich-hirzebruch-gesammelte-abhandlungen-collected-papers-i-1951-1962
<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/Hirzebruch1.jpg" width="92" 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">04/9/2014</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>Springer's series of <a href="http://www.maa.org/search/node/%22Series%3A%20%20Springer%20Collected%20Works%20in%20Mathematics%22%20type%3Abook"><em>Collected Works in Mathematics</em></a> continues apace, bringing back in softcover many volumes containing a wide selection of works. So far, the series includes collected or selected works from Emmy Noether, Heinz Hopf, Serge Lang (all five volumes), Peter Lax (two volumes), Ennio DeGiorgi, Harald Cramér, Ernst Witt, Benno Eckmann, Joseph Walsh, Irving Kaplansky, and others.</p></div></div></div>The Boy Who Loved Math: The Improbable Life of Paul Erdös
http://www.maa.org/publications/maa-reviews/the-boy-who-loved-math-the-improbable-life-of-paul-erd-s
<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/BoyLovedMath.jpg" width="100" height="125" 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">03/21/2014</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>Most of us in the mathematics profession know at least the basic outline of Paul Erdős’s life: brilliant, Hungarian, prodigy, peripatetic mathematician who spent a lifetime fostering collaborations all around the world, engendering the concept of an Erdős number.</p></div></div></div>A Probability Path
http://www.maa.org/publications/maa-reviews/a-probability-path
<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/ProbabilityPath.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">03/20/2014</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 introduction to measure-theoretic probability is intended for students whose primary interest is not mathematics but statistics, engineering, biology, or finance. The book is a welcome reprint in paperback of the 2005 edition of a book that was first published in 1998. The author felt there was a demand for a book motivated by applications that could be used to convey the essentials in a one semester course. He says that mathematicians writing books like this tend to write for students and other mathematicians who come to the subject for its beauty, not for its applicability.</p></div></div></div>