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enKnots and Borromean Rings, Rep-Tiles, and Eight Queens
http://www.maa.org/publications/maa-reviews/knots-and-borromean-rings-rep-tiles-and-eight-queens
<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/KnotsBorromeanRings.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">05/14/2015</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 the fourth entry in the first complete collection of Martin Gardner's Mathematical Library, covering the entire twenty-five-year run of his <em>Scientific American</em> columns. Oddly, the cover and spine have no indication of this ordinal or the count of volumes. It is not immediately obvious this is part of a set.</p></div></div></div>Wed, 28 Jan 2015 18:37:12 +0000fqgouvea608840 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/knots-and-borromean-rings-rep-tiles-and-eight-queens#commentsPractical Augmented Lagrangian Methods for Constrained Optimization
http://www.maa.org/publications/maa-reviews/practical-augmented-lagrangian-methods-for-constrained-optimization
<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/PratLagragianMeth.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">05/14/2015</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>Nonlinear optimization problems with linear and nonlinear inequality constraints arise in many areas of applied mathematics and statistics. Methods for the solution of unconstrained problems, including the method of steepest descent, conjugate gradients, Newton’s method, and quasi-Newton methods are well developed and widely used. Problems with constraints are considerably harder to solve, particularly when the problems have thousands or millions of variables and constraints.</p></div></div></div>Mon, 14 Jul 2014 14:28:48 +0000fqgouvea440658 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/practical-augmented-lagrangian-methods-for-constrained-optimization#commentsThe Moscow Puzzles: 359 Mathematical Recreations
http://www.maa.org/publications/maa-reviews/the-moscow-puzzles-359-mathematical-recreations
<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/MoscowPuzzles.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">05/14/2015</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>Most of the puzzles in this collection have appeared in some form in many other publications, both in print and online. For example, number 11 is the classic, “Wolf, Goat and Cabbage” problem that can be traced back to writings in the eighth century. There are cryptarithms, designs with matches, dissections, logic problems in textual form, problems with dominoes, number crossword puzzles, puzzles involving magic squares, number puzzles and properties and a few involving chess and checkers.</p></div></div></div>Tue, 29 Jan 2013 19:35:49 +0000newton_admin105909 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/the-moscow-puzzles-359-mathematical-recreations#commentsGames,Theory and Applications
http://www.maa.org/publications/maa-reviews/gamestheory-and-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/GamesThyAppsThomas.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">05/14/2015</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 Dover reprint of a text, first published in 1986, covering various topics in game theory at a fairly sophisticated undergraduate level.</p></div></div></div>Tue, 29 Jan 2013 19:35:49 +0000newton_admin107243 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/gamestheory-and-applications#commentsGeometry of Complex Numbers: Circle Geometry, Moebius Transformation, Non-Euclidean Geometry
http://www.maa.org/publications/maa-reviews/geometry-of-complex-numbers-circle-geometry-moebius-transformation-non-euclidean-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/GeomComplexNumbers.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">05/14/2015</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>One of the nice things about geometry is that it can be approached in several different ways. You can do it synthetically, from axioms, either quite rigorously (<a href="http://www.maa.org/publications/maa-reviews/axiomatic-geometry"><em>Axiomatic Geometry</em></a> by Lee) or not-so-rigorously, allowing appeal to pictures (<a href="http://www.maa.org/publications/maa-reviews/geometry-for-college-students"><em>Geometry for College Students</em></a>, by Isaacs).</p></div></div></div>Tue, 29 Jan 2013 19:35:49 +0000newton_admin106813 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/geometry-of-complex-numbers-circle-geometry-moebius-transformation-non-euclidean-geometry#commentsFlaws and Fallacies in Statistical Thinking
http://www.maa.org/publications/maa-reviews/flaws-and-fallacies-in-statistical-thinking
<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/FlawsStatsThinking.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">05/14/2015</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>Stephen Campbell's <em>Flaws and Fallacies in Statistical Thinking </em>was originally published in 1974. It is now available in a variety of formats, ranging from a Dover reprint to Kindle, iTunes, and OpenLibrary. The author provides a very readable account of many kinds of flawed statistical reasoning (more than 20 by a casual count). He illustrates each with examples that are, for the most part, drawn from real life. In some cases the fallacies and flaws are inadvertent, while others are likely quite intentional. The text reads easily, with only a few typographical errors noted.</p></div></div></div>Tue, 29 Jan 2013 19:35:49 +0000newton_admin107378 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/flaws-and-fallacies-in-statistical-thinking#commentsThe Surprising Mathematics of Longest Increasing Subsequences
http://www.maa.org/publications/maa-reviews/the-surprising-mathematics-of-longest-increasing-subsequences
<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/SurprisingMath.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">05/14/2015</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>Ulam’s problem is a 70-year old problem in Combinatorics. It consists of describing the distribution of the length of a longest increasing subsequence of a random permutation of a given length. This is a very difficult problem, and so are the methods used to attack it. There have been a lot of results, especially since a seminal article by Baik, Deift and Johansson in 1999. So the area has certainly needed a book.</p>
<p>The question is, how can you write a book on such a difficult topic? The answer is: not very easily.</p></div></div></div>Thu, 05 Feb 2015 18:01:01 +0000fqgouvea612139 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/the-surprising-mathematics-of-longest-increasing-subsequences#commentsPrinciples of Mathematical Economics
http://www.maa.org/publications/maa-reviews/principles-of-mathematical-economics
<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/PrincMathEcon.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">05/17/2015</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 covers mathematical topics selected mainly from college algebra and calculus, and gives applications to basic models in economics. The audience is economics students who have either not taken calculus or perhaps never really took to it. In structure, the book alternates between crabbed sections on mathematical topics, and detailed sections on economics. One gets the sense that the author treated the mathematical exposition as something that had to be got on paper, but did not give a lot of thought to the presentation.</p></div></div></div>Thu, 06 Feb 2014 18:40:56 +0000fqgouvea324859 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/principles-of-mathematical-economics#commentsHow to Bake Pi: An Edible Exploration of the Mathematics of Mathematics
http://www.maa.org/publications/maa-reviews/how-to-bake-pi-an-edible-exploration-of-the-mathematics-of-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/HowBakePie.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">05/1/2015</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 you think about it, mathematics is really just one big analogy. For one example, the very concept of the number three is an drawing an analogy between a pile with three rocks, a collection of three books, and a plate with three carrots on it. For another, the idea of a group is drawing an analogy between adding real numbers, multiplying matrices, and many other mathematical structures. So much of what we do as mathematicians involves abstracting concrete things, and what is abstraction other than a big analogy?</p></div></div></div>Wed, 07 Jan 2015 18:54:57 +0000fqgouvea604854 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/how-to-bake-pi-an-edible-exploration-of-the-mathematics-of-mathematics#commentsThe Proof and The Pudding: What Mathematicians, Cooks, and You Have in Common
http://www.maa.org/publications/maa-reviews/the-proof-and-the-pudding-what-mathematicians-cooks-and-you-have-in-common
<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/ProofPudding.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">05/2/2015</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 the delightful book <em>The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common</em>, author Jim Henle shares exactly that. Henle provides evidence, directed to the “you” who is not necessarily either a mathematician or a cook, that the disciplines of mathematics and cooking share a number of common traits, as do their practitioners. There is <em>no</em> discussion of applications of mathematics to cooking (or for that matter, of cooking to mathematics).</p></div></div></div>Fri, 30 Jan 2015 18:37:02 +0000fqgouvea609583 at http://www.maa.orghttp://www.maa.org/publications/maa-reviews/the-proof-and-the-pudding-what-mathematicians-cooks-and-you-have-in-common#comments