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enGame Theory: A Playful Introduction
http://www.maa.org/press/maa-reviews/game-theory-a-playful-introduction
<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/GameThyDeVos.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">03/11/2017</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 an attractive textbook for an undergraduate course in game theory, aimed at people who, though not necessarily mathematics majors, do have at least some background in the subject. The authors state in the Preface that the book was designed for students who have taken differential calculus and linear algebra, but that even students without this background will be able to understand much of the book. This is true, but I would add the caveat that the reader at least has some background in mathematical proof, to the point where he or she can follow, and occasionally construct, one.</p></div></div></div>Nine Chapters on the Art of Mathematics
http://www.maa.org/press/maa-reviews/nine-chapters-on-the-art-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/NineChapMath.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">03/14/2017</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 <em>Nine Chapters on the Art of Mathematics</em> is the oldest and best known of the Chinese “mathematical classics.” It seems to have originated sometime in the first two centuries BCE as a sort of compendium of known mathematical techniques. It comes to us with a commentary by Liu Hui (around 263 CE) and further elaboration by a team led by Li Chunfeng (604–672 CE), created in the process of assembling the ten mathematical classics.</p></div></div></div>Calculus and Analysis in Euclidean Space
http://www.maa.org/press/maa-reviews/calculus-and-analysis-in-euclidean-space
<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/CalcEuclidSpace.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">03/14/2017</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>I have never met, or had any other kind of contact with, Jerry Shurman, the author of the book now under review, but despite this lack of familiarity, I would be willing to bet that he is an excellent teacher. He has certainly written an excellent book, one which reflects a considerable amount of time and effort spent thinking about the best way to present this material to an undergraduate audience.</p></div></div></div>Mathematical Modelling
http://www.maa.org/press/maa-reviews/mathematical-modelling
<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/MathModellingPohjolainen.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">03/20/2017</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>According to the preface, “This book is the result of seven Finnish universities joining their efforts to teach mathematical modelling with the help of the World Wide Web.” As a survey of modelling approaches, techniques, and examples this work is a good introduction for the advanced undergraduate or early graduate level in either a brick-and-mortar or virtual classroom.</p></div></div></div>The Universe of Conics
http://www.maa.org/press/maa-reviews/the-universe-of-conics
<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/UniverseConics_0.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">03/14/2017</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>Conics may well be on the verge of becoming an endangered species in a variety of mathematical curricula around the world. At a time firmly implanted in the heartland of high-school and undergraduate mathematics (and physics), conics could easily find themselves relegated to the fringes of courses nowadays. We may be more certain regarding the decline and near-obliteration of projective geometry within undergraduate curricula.</p></div></div></div>Differential Galois Theory through Riemann-Hilbert Correspondence: An Elementary Introduction
http://www.maa.org/press/maa-reviews/differential-galois-theory-through-riemann-hilbert-correspondence-an-elementary-introduction
<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/DiffGaloisSauloy.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">03/16/2017</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>We all know what Galois theory is, and we know the meaning of “differential,” as in “differential equations,” but what does “differential Galois theory” mean? Isn’t Galois theory first and foremost concerned with roots and factoring of polynomials, with special attention paid to the overfields of the smallest field in which these polynomials’ coefficients live? What’s differential about that? What could this mean?</p></div></div></div>Methods of Solving Sequence and Series Problems
http://www.maa.org/press/maa-reviews/methods-of-solving-sequence-and-series-problems
<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/MethSolveProblems.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">03/16/2017</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 charm of this book is that it showcases a lot of problems that can be solved by ingenuity and elementary methods. It is a workbook rather than a textbook, and in terms of techniques does not go beyond what’s in most calculus courses: ratio and root tests, integral test, alternating series, and the sums of arithmetic and geometric progressions. It does a good job of addressing the common problem that students can quote the test but can only apply it if the series has exactly the form of that test.</p></div></div></div>Encyclopedia of Applied and Computational Mathematics
http://www.maa.org/press/maa-reviews/encyclopedia-of-applied-and-computational-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/EncyCompMathOne.jpg" width="100" height="133" 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">03/16/2017</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>Is there still a role for Encyclopedias in the age of Wikipedia and Google? This two-volume set from Springer is betting that the answer is yes. They have adopted a mixed strategy: like all Springer books today, the book exists both on paper and online, but the editors have also created a dynamic version online where authors and new contributors can update the papers.</p></div></div></div>The Best Writing in Mathematics 2016
http://www.maa.org/press/maa-reviews/the-best-writing-in-mathematics-2016
<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/BestMath2016.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">03/7/2017</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 the seventh volume in one of my favorite series of books, an annual compilation of high-quality mathematical writing combined with a valuable list of additional resources prepared by the editor. This year’s edition contains 30 moderately short pieces (only a handful exceed 20 pages in length, and quite a few are under 10 pages) covering, as is typical, lots of different aspects of mathematics.</p></div></div></div>Advanced Calculus
http://www.maa.org/press/maa-reviews/advanced-calculus-5
<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/AdvCalcBuono.jpg" width="100" height="139" 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">03/9/2017</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>Intended for students with a background of two semester courses in (single variable?) calculus and with at least one semester of linear algebra, this book provides an alternative approach to multivariable calculus. It covers much of what might be contained in a course of vector analysis, but ‘advanced calculus’ is a better label.</p></div></div></div>