Featured Reviews
http://www.maa.org/maa-reviews/rss.xml
enAn Equation for Every Occasion: Fifty-Two Formulas and Why They Matter
http://www.maa.org/publications/maa-reviews/an-equation-for-every-occasion-fifty-two-formulas-and-why-they-matter
<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/EaqutionEveryOccasion.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">10/9/2014</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>I thoroughly enjoyed this book by John Henshaw. It is a charming account of 52 mathematical formulas. Each formula has its own short chapter, which typically consists of just three or four pages. The book’s format is intriguing: the formula is presented, and then each variable or constant in the formula is described, followed by a narrative of the history, use, and various applications of the formula.</p>
<p>The tone of the book is signaled already by the cover, where the title is given as</p></div></div></div>Mon, 08 Sep 2014 17:01:07 +0000fqgouvea473230 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/an-equation-for-every-occasion-fifty-two-formulas-and-why-they-matter#commentsThe Mathematics of Frobenius in Context: A Journey Through 18th to 20th Century Mathematics
http://www.maa.org/publications/maa-reviews/the-mathematics-of-frobenius-in-context-a-journey-through-18th-to-20th-century-mathematics
<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/MathFrobenius_0.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">10/12/2014</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>Ferdinand Georg Frobenius was born in 1849 and spent his early career at the University of Berlin. From 1874 to 1892 he worked in Zurich at the institution now known as ETH. In 1892 he returned to the University of Berlin, working there until his death in 1917. He made fundamental contributions to many areas of mathematics, being most famous for founding the theory of representations of finite groups.</p>
<p>In 1968, Frobenius’ collected works came out in a three-volume set, edited by Jean-Pierre Serre. Serre writes in his one-page preface,</p></div></div></div>Wed, 21 Aug 2013 16:43:54 +0000fqgouvea159945 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/the-mathematics-of-frobenius-in-context-a-journey-through-18th-to-20th-century-mathematics#commentsLinear Algebra
http://www.maa.org/publications/maa-reviews/linear-algebra-7
<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/LinAlgBerberian.jpg" width="100" height="124" 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">10/10/2014</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 is two textbooks in one. The first half is a straightforward (although very theoretical) introduction to linear algebra and matrices at the lower-division undergraduate level, while the second half is a much more in-depth look at the theory of linear algebra at the upper-division undergraduate level. The two courses are not intended to be presented back-to-back, but separated by a course in linear abstract algebra. The present volume is a 2014 Dover reprint of the 1992 Oxford edition, with two new pages of errata and notes.</p></div></div></div>Thu, 10 Jul 2014 17:08:23 +0000fqgouvea439389 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/linear-algebra-7#commentsLinear Algebra and Matrix Analysis for Statistics
http://www.maa.org/publications/maa-reviews/linear-algebra-and-matrix-analysis-for-statistics
<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/LinAlgStatsbanerjee.jpg" width="90" 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">10/9/2014</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>At last — a book whose content is broader than its title! This would be a reasonable candidate for use in a standard linear algebra course, even at institutions with no statistics majors. The word “statistics” in the title only indicates that preference has been given to topics used in statistics. Just how they are used receives scant attention, and students (and many teachers) using the text might well be unaware it has any special orientation toward statistics.</p></div></div></div>Thu, 17 Jul 2014 17:20:34 +0000fqgouvea445800 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/linear-algebra-and-matrix-analysis-for-statistics#commentsA Basic Course in Real Analysis
http://www.maa.org/publications/maa-reviews/a-basic-course-in-real-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/RealAnalKumar.jpg" width="93" 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">10/11/2014</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 is a textbook for a course in single-variable real analysis at the junior/senior undergraduate level. The syllabus for such a course has by now become something of a sacred cow, and is tracked faithfully by this book’s contents, which, in order, cover: properties of the real numbers, sequences, continuity, differentiability, infinite series, integration (here, Riemann only, neither Riemann-Stieltjes nor Lebesgue), and sequences and series of functions. The book ends with a statement and proof of the Weierstrass Approximation Theorem (using Bernstein polynomials).</p></div></div></div>Mon, 31 Mar 2014 16:50:30 +0000fqgouvea371933 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/a-basic-course-in-real-analysis#commentsCategorical Homotopy Theory
http://www.maa.org/publications/maa-reviews/categorical-homotopy-theory
<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/CatHomotThy.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">10/7/2014</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>My review of this excellently written book revolves around expanding on the author’s words from page xv: “Rather than present material that one could easily read elsewhere, we chart a less-familiar course that should complement the insights of the experienced and provide context for the naive student who might later read the classical accounts of this theory.”</p></div></div></div>Wed, 09 Jul 2014 14:51:15 +0000fqgouvea438852 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/categorical-homotopy-theory#commentsJean Leray: Selected Papers - Oeuvres Scientifiques I
http://www.maa.org/publications/maa-reviews/jean-leray-selected-papers-oeuvres-scientifiques-i
<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/Leray1.jpg" width="93" 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">10/10/2014</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>One of the names most readily associated with one of the greatest revolutions in modern mathematics, the theory of sheaves, is that of Jean Leray.</p></div></div></div>Thu, 11 Sep 2014 18:19:22 +0000fqgouvea475485 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/jean-leray-selected-papers-oeuvres-scientifiques-i#commentsNormal and Student's t Distributions and Their Applications
http://www.maa.org/publications/maa-reviews/normal-and-students-t-distributions-and-their-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/NormalDistrApps.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">10/9/2014</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>This book covers various properties of the normal and Student probability distributions. After an introduction, there is a chapter on each of these. A chapter on sums, products and differences of normal distributions is followed by a similar chapter on such combinations of Student distributions. Then there are two chapters on combining a normal with a Student. Two final chapters deal with various ways of characterizing the two distributions that are the subject of this book. Thus the book is perhaps more narrow than the title might suggest.</p></div></div></div>Thu, 06 Mar 2014 17:03:55 +0000fqgouvea349845 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/normal-and-students-t-distributions-and-their-applications#commentsProfessor Stewart's Casebook of Mathematical Mysteries
http://www.maa.org/publications/maa-reviews/professor-stewarts-casebook-of-mathematical-mysteries
<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/StewartMysteries.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">10/2/2014</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 style="font-size: 13.63636302948px;">Ian Stewart has produced a captivating book of puzzles, peculiar facts, miscellaneous items of interest, with an occasional piece of significant and meaningful mathematics. This book can be enjoyed by both the serious student of mathematics as well as a more casual observer and is accessible to all.</p></div></div></div>Wed, 30 Jul 2014 18:43:17 +0000fqgouvea451563 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/professor-stewarts-casebook-of-mathematical-mysteries#commentsMath Power: How to Help Your Child Love Math, Even If You Don't
http://www.maa.org/publications/maa-reviews/math-power-how-to-help-your-child-love-math-even-if-you-dont
<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/MathPower.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">10/7/2014</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>Both as a mother of two young children and as a mathematician, I have a vested interest in the mathematics curriculum in our nation’s elementary schools. In addition, as an individual who works regularly with students planning to become teachers after graduation, I care deeply about how my students’ mathematical opinions will impact their future classes. For these reasons I wanted to review <em>Math Power: How to Help Your Child Love Math Even If You Don’t</em>.</p></div></div></div>Thu, 10 Jul 2014 10:59:32 +0000fqgouvea439226 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/math-power-how-to-help-your-child-love-math-even-if-you-dont#comments