Beautiful Mathematics by Martin Erickson.
Treat this book as you would an art museum: wander from gallery to gallery, easily passing over the objects that don’t catch your attention. Then, all of a sudden there’s something that is really striking, at which point you stop to read the curator’s comments, linger at the display, and perhaps come back to it later to savor the experience.
Treat this book as you would an art museum: wander from gallery to gallery, easily passing over the objects that don’t catch your attention. Then, all of a sudden there’s something that is really striking, at which point you stop to read the curator’s comments, linger at the display, and perhaps come back to it later to savor the experience.
A Mathematician Comes of Age by Steven G. Krantz.
Krantz is an extraordinarily talented and prolific author so the style is friendly and engaging. It’s a provocative, but worthwhile, work: reading it forces you to think about some questions you may not have previously considered and in the end you will end up with a deeper grasp of some issues than they had before the experience.
Calculus and Its Origins by Dave Perkins.
Perkins starts with early problems, even some considered by pre-Greek societies, and then proceeds up through the centuries to what is acknowledged as the discovery of what we think of as the calculus, the work of Leibniz and Newton. The spread is impressive and the cast stellar: Archimedes, Cavalieri, Fermat, Descartes. And along the way we find Roberval, Brouncker, Gregory, Mercator, as well as the later Lagrange, Taylor, Bolzano, Cauchy, Weierstrass, and Dirichlet. It’s a vast panorama and shows in some detail what some of these precursors found. Exploring their ingenious methods is in many cases a revelation.
Sophie’s Diary: A Mathematical Novel by Dora Musielak.
A charming and thoroughly interesting, though fictionalized, account of the early years of a renowned mathematician, Sophie Germain, who had to work hard for recognition during difficult years in France and at a time when any woman interested in the sciences faced many obstacles.
Mathematics Galore! by James Tanton.
Tanton has a gift for asking questions which students find intriguing and approachable, thereby drawing them into mathematics. This book showcases mathematical output from the St. Mark’s Institute of Mathematics (founded in 2005 by Tanton at St. Mark’s School in Boston). Reading many math books, even the best of them, qualifies as work: Tanton is such a pleasure to read that it's hard to put it down.
A Mathematical Orchard: Problems and Solutions by Mark I. Krusemeyer, George T. Gilbert, and Loren C. Larson.
This collection of engaging problems provides something for problem solvers working at many different levels. Appendices identify prerequisites for each problem and organize the problems by subject matter.
What Numbers Are Real? By Michael Henle.
Investigates real and “multidimensional” numbers and then explores some “alternative” number lines. The book is very well thought-out and beautifully written. The flow and sequence of the topics are quite enticing. What Numbers are Real? offers a nice resource for capstone courses or even for outside reading for senior projects.
Resources for Training Middle School Mathematics Teachers edited by Cheryl Beaver, Laurie Burton, Maria Fung, and Klay Kruczek.
In recent years there has been a lot of interest in the preparation of middle school math teachers. Many states now have special middle school certifications or "endorsements". So how should institutions that prepare a lot of middle school math teachers respond? This volume surveys the best in what is being done.
Exploring Complex Analysis by Michael Brilleslyper, Michael Dorff, Jane McDougall, James Rolf, Beth Schaubroeck, Rich Stankewitz, Kenneth Stephenson.
Reaches deeply into the undergraduate mathematics curriculum and, with its accompanying applets, it provides resources for independent senior projects or summer research projects for undergraduates who have had a complex analysis course.
Look for these titles coming soon to the MAA Bookstore.
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