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enElementary Mathematics from a Higher Standpoint, Volume I: Arithmetic, Algebra, Analysis
http://www.maa.org/press/maa-reviews/elementary-mathematics-from-a-higher-standpoint-volume-i-arithmetic-algebra-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/ElemMathHighPtOne.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">10/20/2016</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>When I was a freshman (or was it even before that?) I discovered what was soon to become my favorite biography of a mathematical titan, and has continued to occupy that position over the decades, namely Constance Reid’s <a href="http://www.maa.org/press/maa-reviews/hilbert-courant"><em>Hilbert</em></a>. I devoured the book, reread it, and reread it, and the figures populating its pages came to life to me and have stayed alive in my imagination over the years.</p></div></div></div>Motivating Mathematics
http://www.maa.org/press/maa-reviews/motivating-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/MotivatingMath.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">10/13/2016</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>In <em>Motivating Mathematics: Engaging Teachers and Engaged Students </em>David Wells argues that students can be motivated in mathematics, which is historically thought to be a non-motivating and dry subject, by being presented with the “Big Picture.” This is achieved by connecting mathematics to the sciences, the art of problem solving, and having the students create their own proofs. Wells main idea of the book is outlined on page 6, where he states:</p></div></div></div>The Philosophy of Mathematics Education
http://www.maa.org/press/maa-reviews/the-philosophy-of-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/PhiloMathEdu.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">10/22/2016</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 pamphlet is framed as an overview of the field of philosophy of mathematics education, and it lives up to that promise. There are four main essays, written largely independently. The first, by Paul Ernest, articulates many questions in the field (with special attention paid to disciplinary hygiene for mathematics education research) while making a case the education researchers need to engage these questions in their work at some level.</p></div></div></div>A Course in Analysis, Volume I: Introductory Calculus Analysis of Functions of One Real Variable
http://www.maa.org/press/maa-reviews/a-course-in-analysis-volume-i-introductory-calculus-analysis-of-functions-of-one-real-variable
<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/CourseAnalOneJacob.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">10/20/2016</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><i>A Course in Analysis</i> by Niels Jacob and Kristian P. Evans is a planned seven volume series of texts on mathematical analysis. The first two volumes of the series, which are the only volumes discussed here, provide a mathematically rigorous treatment of the calculus (analysis) of functions of one and several real variables.</p></div></div></div>Introduction to Partial Differential Equations and Hilbert Space Methods
http://www.maa.org/press/maa-reviews/introduction-to-partial-differential-equations-and-hilbert-space-methods
<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/PDEsHilbertSpace.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">10/20/2016</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><span style="font-size: 13.6136px;">This is a discursive introductory text in partial differential equations, that has good applications drawn from a number of fields including finance. It is aimed at undergraduates, is generally concrete in its approach, and has modest prerequisites. The present volume is an updated Dover 1999 reprint of the 1993 Wiley third edition, with some corrections and a new introduction and a new </span>epilogue<span style="font-size: 13.6136px;"> about then-recent developments.</span></p></div></div></div>Homotopical Topology
http://www.maa.org/press/maa-reviews/homotopical-topology
<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/HomotopicalTopol.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">10/19/2016</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 textbook on algebraic topology going back to the late 1960s curriculum at the famed Lomonosov Moscow University, from which both authors stem. The present book is a hot-off-the-presses second edition dating to this year.</p></div></div></div>Exercises in Linear Algebra
http://www.maa.org/press/maa-reviews/exercises-in-linear-algebra
<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/LinAlgBarreira.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">10/18/2016</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>Barreira and Valls’s book of problems would fall somewhere between Springer’s <i>Problem Books</i> and <i>Schaum’s Outlines</i>, perhaps closer to the latter. There are six chapters that comprise an even balance between 200 solved problems and 200 proposed problems (without solutions). The chapters cover <i>Matrices and Vectors</i>, <i>Determinants</i>, <i>Vector Spaces</i>, <i>Linear Transformations</i>, <i>Inner Products and Norms</i>, and <i>Eigenvalues and Eigenvectors</i>.</p></div></div></div>Geometry with Trigonometry
http://www.maa.org/press/maa-reviews/geometry-with-trigonometry
<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/GeomTrigonometry.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">10/13/2016</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>High school students in the state of New York have, for well over a hundred years, endured a rite of passage known as the Regents Exams. These are statewide exams that are intended to measure academic performance. Archive copies are available <a href="http://www.jmap.org/JMAP_REGENTS_EXAM_ARCHIVES.htm">online here</a>; particularly in the subject of geometry, it is an instructive exercise to compare the current crop of exams with the ones that were given, say, back when I learned the subject, in the mid 1960s.</p></div></div></div>Computer Age Statistical Inference
http://www.maa.org/press/maa-reviews/computer-age-statistical-inference
<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/CompAgeStats.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">10/2/2016</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>The science of statistics has changed a great deal over the last sixty years. New algorithms, the availability of much greater computational power, and exciting new applications have driven a huge amount of new work. The current book examines how and why those changes have occurred. The authors are well known statisticians who have been right in the middle of things: Efron may be best known for his work on the bootstrap technique, and Hastie’s name is perhaps most frequently associated with machine learning. But they are both statisticians of broad scope.</p></div></div></div>Pi: The Next Generation
http://www.maa.org/press/maa-reviews/pi-the-next-generation
<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/PiNextgen.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">10/11/2016</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 is a sequel to Berggren & Borwein & Borwein’s <a href="http://www.maa.org/press/maa-reviews/pi-a-source-book"><em>Pi: A Source Book</em></a>. That book has grown through three editions, and has become unwieldy at 800 pages (the binding split on my copy), so rather than revising it again the authors have started a new volume with papers published from 1976 to 2015. There’s some overlap with the previous volume; I counted 12 papers (out of 25) in the new volume that also appear in the old volume.</p></div></div></div>