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enPrime Numbers and the Riemann Hypothesis
http://www.maa.org/press/maa-reviews/prime-numbers-and-the-riemann-hypothesis
<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/PrimeNumbersMazur.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">06/9/2016</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 delightful little book, not quite like anything else that I am aware of. Its goal (to quote the authors) is to “explain, in as direct a manner as possible and with the least mathematical background required, what [the Riemann hypothesis] is all about and why it is so important.” This goal has been achieved, but it should be understood that the phrase “least mathematical background required” is not a synonym for “no mathematical background beyond high school”.</p></div></div></div>In Praise of Simple Physics: The Science and Mathematics behind Everyday Questions
http://www.maa.org/press/maa-reviews/in-praise-of-simple-physics-the-science-and-mathematics-behind-everyday-questions
<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/PraiseSimplePhys.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">06/9/2016</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>College freshmen are notorious for doing stupid things on occasion, and unfortunately I was no exception. Even though I knew from the beginning of my college career that I was going to be a mathematics major, I studiously avoided taking any physics courses at all, largely because my high school physics course had not been a good experience. The upshot was that I graduated from college knowing quite a lot of mathematics but having little or no intuitive sense of how physics works. Memorizing formulas is one thing, but learning how to <em>think</em> in the subject is quite another.</p></div></div></div>Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620)
http://www.maa.org/press/maa-reviews/jost-b-rgis-aritmetische-und-geometrische-progre-tabulen-1620
<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/JostProgressTabulen.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">06/14/2016</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 class="rteindent4">‘<em>The invention of logarithms came on the world as a bolt from the blue. No previous work had led up to it, foreshadowed it or heralded its arrival. It stands isolated, breaking in upon human thought abruptly without borrowing from the work of other intellects or following known lines of mathematical thought’</em></p>
<p class="rteindent4"> Lord Moulton, Napier Tercentenary Memorial Volume, London 1915</p>
<p> </p></div></div></div>The Book on Games of Chance: The 16th-Century Treatise on Probability
http://www.maa.org/press/maa-reviews/the-book-on-games-of-chance-the-16th-century-treatise-on-probability
<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/GamesChanceCardano.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">06/14/2016</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>Gerolamo Cardano’s <em>The Book on Games of Chance: The 16th-Century Treatise on Probability</em>, in its translation by Sydney H. Gould, has been released by Dover Publications. It had previously appeared as an appendix in Oystein Ore’s <a href="http://www.maa.org/press/maa-reviews/cardano-the-gambling-scholar"><em>Cardano, the Gambling Scholar</em></a>. I recommend Ore’s book for its useful commentary on Cardano; even in translation, Cardano’s book can be difficult to understand.</p></div></div></div>Linear Programming: An Introduction to Finite Improvement Algorithms
http://www.maa.org/press/maa-reviews/linear-programming-an-introduction-to-finite-improvement-algorithms
<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/LinProgramSolow.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">06/11/2016</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 gives thorough coverage of the theory of the simplex algorithm for linear programming, and almost as thorough coverage of its practice. The present book is a Dover 2014 unaltered reprint of the 1984 North-Holland edition that adds a new preface and a new appendix on using Microsoft Excel to solve linear programming problems.</p></div></div></div>Semiotics in Mathematics Education
http://www.maa.org/press/maa-reviews/semiotics-in-mathematics-education
<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/SemioticsMathEdu.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">06/12/2016</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>Quite logically, the book opens with a definition of semiotics, which is the study of signs, something that stands for something else. Given the compactness of notation used in mathematics, this is an important area to consider. I often tell my students that one of the things that makes math difficult is that a symbol is a compact representation for significant ideas and concepts.</p></div></div></div>Current and Future Perspectives of Ethnomathematics as a Program
http://www.maa.org/press/maa-reviews/current-and-future-perspectives-of-ethnomathematics-as-a-program
<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/CurrentEthnomath.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">06/11/2016</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 I am a staunch supporter of the exploration of the concept of ethnomathematics, at times I question some of the statements regarding the significance of the role it plays in the world inside and outside of mathematics. After all, the pretty design in a fabric may have a mathematical explanation, but the creator was simply making the design and not performing mathematical operations. There are times in this book when ethnomathematical claims are overstated in the sense that formal mathematics probably was not used.</p></div></div></div>The Troika of Adult Learners, Lifelong Learning, and Mathematics
http://www.maa.org/press/maa-reviews/the-troika-of-adult-learners-lifelong-learning-and-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/TroikaMath.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">06/10/2016</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 based on two truths that math people hold as self-evident: learning mathematics is important and should take place throughout your life. A secondary truth that is much harder to verify and convince people of is that it is possible for people to learn mathematics at an “advanced age.”</p></div></div></div>Mathematics in Ancient Egypt: A Contextual History
http://www.maa.org/press/maa-reviews/mathematics-in-ancient-egypt-a-contextual-history
<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/MathAncientEgypt.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">06/8/2016</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><em>Mathematics in Ancient Egypt: A Contextual History </em>is one of the latest outstanding monographs in history of mathematics published by Princeton University Press. Over the last decade and a half Princeton has produced around three dozen new books in this area, several of them definitive contributions to our understanding of ancient and non-Western mathematics.</p></div></div></div>3-Manifold Groups
http://www.maa.org/press/maa-reviews/3-manifold-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/3ManifoldGroups.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">06/2/2016</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>Associated to every “nice” topological space is the <i>fundamental group</i> of the space. It is the group whose elements are paths beginning and ending at a fixed basepoint, with two paths being equivalent if one can be continuously deformed into the other without moving the endpoints. The group operation is concatenation: travel around one path, then travel around the other. Homeomorphic spaces have isomorphic fundamental groups. A fundamental group is typically infinite and non-abelian.</p></div></div></div>