Featured Reviews
http://www.maa.org/maa-reviews/rss.xml
enReasoning About Luck
http://www.maa.org/press/maa-reviews/reasoning-about-luck
<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/ReasonLuck.jpg" width="100" height="129" 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">04/20/2017</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>Writing a physics or mathematics book for an audience with little background in these areas is a difficult undertaking, fraught with dual perils. On the one hand, if the book is too technical, it may be incomprehensible to the intended audience; on the other hand, if the book is too watered down, it may provide only an illusion of understanding. Many of us have probably had, at some point, the experience of hearing somebody use technical words in a way that indicated the speaker had no idea what he or she was talking about; it is not a pretty sight.</p></div></div></div>Science in the Archives: Pasts, Presents, Futures
http://www.maa.org/press/maa-reviews/science-in-the-archives-pasts-presents-futures
<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/SciArchives.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">04/25/2017</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 twelve essays in this elegantly crafted volume explore, as editor Lorraine Daston puts it, “how the sciences choose to remember past findings and plan future research.” They look at ways in which scholars have preserved and ordered scientific knowledge from antiquity to the present. The papers originally were presented at summer conferences at the Max Planck Institute in Berlin. The authors have examined, discussed, and reshaped one another’s papers, however, producing a more unified approach than is usual in conference proceedings.</p></div></div></div>Concepts of Proof in Mathematics, Philosophy, and Computer Science
http://www.maa.org/press/maa-reviews/concepts-of-proof-in-mathematics-philosophy-and-computer-science
<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/ConceptsProof.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">04/20/2017</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 a gift it was for me to be an undergraduate at UCLA in the 1970s! At the time the program in Mathematics was flexible to a degree that I cannot imagine can be matched today, with many pedagogical initiatives in place in our educational establishment. I look back at my days in Westwood over forty years ago and recall a prevailing <em>laissez faire</em> atmosphere (modulo the Darwinian constraint: you were certainly at liberty to flounder, and needed to be mathematically fit to survive).</p></div></div></div>Creativity and Giftedness: Interdisciplinary perspectives from mathematics and beyond
http://www.maa.org/press/maa-reviews/creativity-and-giftedness-interdisciplinary-perspectives-from-mathematics-and-beyond
<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/CreativityGiftdness.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">04/21/2017</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 edited volume considers recent research on creativity and giftedness in mathematics education and how these two concepts might be related. It has chapters written by a variety of authors from such places as Poland, the U.S., Iceland, Romania, Singapore, Israel, Australia, and Cyprus. It is divided into two parts: the first with nine chapters devoted to perspectives on creativity and the second with five chapters giving perspectives on giftedness and its relation to creativity.</p></div></div></div>Algebraic Inequalities: New Vistas
http://www.maa.org/press/maa-reviews/algebraic-inequalities-new-vistas
<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/AlgInequalVistas.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">04/27/2017</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 slim book moves economically, effectively, and elegantly from basic arithmetic to sophisticated inequality topics. The reader of this self-contained text eventually arrives at the Cauchy-Schwarz inequality and Chebyshev's sum inequality. Part of what makes the presentation effective, despite requiring no more than high school algebra, are the detailed solutions for the problem sets. Typically, more than one approach to a solution is detailed. The solutions can be several pages longer than the chapter and exercises.</p></div></div></div>Mathematical Bridges
http://www.maa.org/press/maa-reviews/mathematical-bridges
<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/MathBridges.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">04/20/2017</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 problem book, with very interesting and challenging problems. The unifying idea is that the problems are all susceptible to a “bridge” attack, that is, rather than work on a problem in the branch of mathematics where it originated, we attempt to carry it over a bridge to a different part of mathematics and work on it with the techniques there. A couple of good examples are given in Chapter 12 on the Extreme Value Theorem: the fundamental theorem of algebra and a form of the spectral theorem for matrices.</p></div></div></div>Deductive Geometry
http://www.maa.org/press/maa-reviews/deductive-geometry
<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/DeductiveGeom.jpg" width="89" 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">04/20/2017</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 aim of this book is to give, in concise form, the whole of the geometry of the straight line, circle, plane and sphere…” is the opening line of the preface. The author means business, there is no doubt about that, as he immediately confesses that “this is a subject which, at the moment of writing, is less popular than it deserves, but I hope that the treatment may help to stimulate interest as well as to satisfy an existing need.” The book under review is a 2015 unabridged republication of the original work, published in 1962.</p></div></div></div>Probability with Applications in Engineering, Science, and Technology
http://www.maa.org/press/maa-reviews/probability-with-applications-in-engineering-science-and-technology-0
<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/ProbabEngineering.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">04/20/2017</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>See our <a href="http://www.maa.org/press/maa-reviews/probability-with-applications-in-engineering-science-and-technology">review of the first edition</a>. According to the back cover, the changes to this edition include new recommendations about how to use the book as a textbook for various courses, including sample syllabi online. There are also revisions to the problem sets and to the section on continuous-time Markov chains.</p>
</div></div></div>A History of Mathematics
http://www.maa.org/press/maa-reviews/a-history-of-mathematics-0
<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/BoyerMerzbach.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">04/17/2017</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 is the bottom line. The third edition of <i>A History of Mathematics</i> by Merzbach and Boyer (previously by Boyer and Merzbach) is a superlative book. I personally found it to be an extremely pleasurable read and I would recommend it to anyone with even the slightest interest in mathematics.</p></div></div></div>A Quick Introduction to Complex Analysis
http://www.maa.org/press/maa-reviews/a-quick-introduction-to-complex-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/QuickIntroComplexAnal.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">04/12/2017</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 department is in a state of (d)evolution: it’s growing by leaps and bounds. Keen-eyed youths with PhDs in different parts of applied mathematics are sprouting up in large numbers and with increasing frequency in response to a clear supply-and-demand dynamic, and we are faced with a sort of <em>perestroika</em> — I’m not so sure about any purported <em>glasnost</em>, however.</p></div></div></div>