Featured Reviews
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enA Mathematical Odyssey
http://www.maa.org/publications/maa-reviews/a-mathematical-odyssey
<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/MathOdyssey.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">07/17/2014</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>Back around 1970, when I was about halfway through my undergraduate education and just starting to really appreciate mathematics, I was lucky enough to make the acquaintance of a professor named George Booth, who was then and still remains the best teacher I ever had in my life, and who seemed to my young eyes to be familiar with every mathematics textbook that had ever been written. He was my first and best mentor, and just sitting and talking to him was immensely educational.</p></div></div></div>Undergraduate Mathematics for The Life Sciences: Models, Processes and Directions
http://www.maa.org/publications/maa-reviews/undergraduate-mathematics-for-the-life-sciences-models-processes-and-directions
<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/LifeSciences.jpg" width="100" height="132" 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">07/18/2014</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 risks one takes in reading a book about teaching innovations is that envy will set in — as in “What a great idea! I wish my institution could do something like that!” This collection of reports on innovative courses and experiences combining mathematics and biology has certainly stirred up that response in me.</p></div></div></div>Introduction to 3-Manifolds
http://www.maa.org/publications/maa-reviews/introduction-to-3-manifolds
<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/Intro3Manifolds.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">07/23/2014</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>Knot theory is many things to many people. It is fine and important mathematics with connections to a lot of very sexy extra mathematical things including biology (e.g. DNA twisting) and physics (see, e.g, <a href="http://www.nytimes.com/1989/02/21/science/mathematicians-link-knot-theory-to-physics.html">http://www.nytimes.com/1989/02/21/science/mathematicians-link-knot-theory-to-physics.html</a>, and note the date: 1989 — this has been hot stuff for several decades).</p></div></div></div>Calculating Curves
http://www.maa.org/publications/maa-reviews/calculating-curves
<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/CalcCurves.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">07/18/2014</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>Nomograms are a device for solving an equation graphically. Each nomogram is associated with an equation in three unknowns and typically consists of three ruled lines (straight or curved), one for each variable. It is constructed so that a straight edge intersecting two of the lines at given values for their variables will intersect the third variable’s line at the value that satisfies the equation. Thus nomograms provide a quick way to solve for any one of the variables given the other two.</p></div></div></div>Higher Operads, Higher Categories
http://www.maa.org/publications/maa-reviews/higher-operads-higher-categories
<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/HigherHigher.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">07/18/2014</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>The birth-place of operads and categories is in homotopy theory and homology, respectively. Both structures now find applications in more areas of mathematics, computer science, and physics than can be recounted in a review (or in a book of moderate length). In homotopy theory and in theoretical physics, higher dimensional variants of operads and categories are becoming more and more prominent. Such higher dimensional structures come in two flavors: strict and weak. The strict variants are of moderate complexity and there is a consensus on what is the “correct” definition.</p></div></div></div>Winter School on Galois Theory, Volume 1
http://www.maa.org/publications/maa-reviews/winter-school-on-galois-theory-volume-1
<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/travauxMathematiques1.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">07/18/2014</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>Much of modern mathematics traces its roots to the work of Évariste Galois, whose brief life at the beginning of the nineteenth century brought us the germs of many ideas that now are key in algebra, number theory, geometry, and topology. Two of the areas of active research two centuries later that bear his name are the study of Galois Representations and Galois Field Theory. The former are important tools in number theory that feed into the Langlands Program and many other results, such as the proof of Fermat’s Last Theorem.</p></div></div></div>Hilbert's Programs and Beyond
http://www.maa.org/publications/maa-reviews/hilberts-programs-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/HilbertsPrograms.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">07/25/2014</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>Playing fast and loose with historical <em>minutiae,</em> one can say that Hilbert’s famous approach to proof theory was precipitated by two conflicts. There were Hilbert’s early dealings with the constructivist school <em>vis à vis </em>the proof of what is now called the Hilbert basis theorem, and there was Hilbert’s championing of Cantor’s set theory in the face of attacks by, for example, Kronecker and Poincaré. Kronecker had also been an early opponent of Hilbert in connection with the aforementioned basis theorem.</p></div></div></div>Michael Atiyah Collected Works, Volume 7: 2002-2013
http://www.maa.org/publications/maa-reviews/michael-atiyah-collected-works-volume-7-2002-2013
<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/AtiyahColWorks_0.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">07/26/2014</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>When volumes of collected papers are published while their author is still alive, it is not surprising when supplementary volumes eventually need to be published. I suspect, however, that it is quite uncommon that <em>two</em> supplementary volumes are needed. That is what we have here: Atiyah’s collected papers were originally published in five volumes in 1988, when Sir Michael was about 60 years old. The <a href="http://www.maa.org/publications/maa-reviews/michael-atiyah-collected-works-volume-6">sixth volume</a> appeared in 2004.</p></div></div></div>A Friendly Approach to Complex Analysis
http://www.maa.org/publications/maa-reviews/a-friendly-approach-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/ComplexAnalSasane.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">07/14/2014</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 has emerged from a course in an undergraduate programme for mathematics with economics at the London School of Economics. Perhaps for this reason it omits coverage of many familiar topics such as conformal mappings, analytic continuation, Schwarz-Chrisoffel transformations, Green’s theorem and Gamma functions. And, although clues are provided regarding the practical importance of complex analysis, I could find no examples of its use in economics (does it have any?).</p></div></div></div>Linear Algebra: Algorithms, Applications, and Techniques
http://www.maa.org/publications/maa-reviews/linear-algebra-algorithms-applications-and-techniques
<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/LinAlgBronson.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">07/9/2014</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>Whenever I teach linear algebra, I suspect many of my students lack the mathematical experience and breadth to appreciate the power and beauty of the subject. So I am always on the hunt for a book that will give them a thorough introduction to linear algebra, but one that will also serve as a good reference as they move on to more advanced mathematics courses. The third edition of <em>Linear Algebra: Algorithms, Applications and Techniques</em> presents linear algebra in an accessible and rigorous manner. This text contains the material found in a standard first linear algebra course.</p></div></div></div>