Friday, December 20, 2013

MAA Books Beat: Calculus Online and Geometric Excursions

Written by Steve Kennedy, MAA Books Beat is a new column that will appear in MAA Focus. The first article, Calculus Online and Geometric Excursions, appears in the December 2013/January 2014 issue. 

Calculus Online and Geometric Excursions

by Steve Kennedy

My department used the same calculus text for well over a decade. We’re a traditional place, and we used a traditional text. It is a splendid book–terrific exposition with great problems. A year or so ago, yet another edition came out, and we, collectively, gulped when we saw the price tag. More than $200. We decided to stop fiddling around and look seriously at alternatives. After a long and careful comparison period during which we read and discussed a big pile of calculus books, we chose an alternate text. This text features good exposition and good problems and, more to my present point, a price tag $100 lower than the original book.

The publisher’s representative of our original text learned of our decision and the reason for it, and offered various discount prices for various lengths of time. After considering the options, we moved on to the new text. This bargaining session left me feeling annoyed and manipulated. I’m a teacher. I’m not interested in playing negotiating games. I want to help my students learn and grow, and I would like publishers to help me by providing good books at fair prices–not marketing manipulations and games.

Now I work for a publisher. A publisher that, I believe, shares my view that our role is to provide quality books, especially textbooks, at reasonable prices. This publisher also puts out the newsmagazine you are reading. My new job (just part time; I’m still a math teacher) is to acquire those quality books from you, the MAA members who are writing them.

Your probably don’t think of the MAA as a publisher, and that’s natural. We are, primarily, a collective of professionals working together to advance and promote mathematics. But producing books of enduring value is a part of that collective effort. We’re a funny kind of publisher because the people writing the books and the people buying the books are, essentially, the same: MAA members.

One part of my new job is to market those books. I’m not really sure how best to do that, although I’m dead-set against backroom bargaining and rapid edition switching designed to kill the used-book market. I prefer to calmly point out to you the virtues of some of our books. I intend to use this space on a regular basis to highlight some of the terrific books we are publishing. I intend also to, frequently and loudly, point out the following: We publish really good books at very reasonable prices. You ought to buy them.

Let me tell you about two of them.

Friday, December 13, 2013

New MAA eBook

Illustrated Special Relativity Through Its Paradoxes
A Fusion of Linear Algebra, Graphics, and Reality
by John dePillis and José Wudka

Illustrated Special Relativity illustrates and resolves several apparent paradoxes of special relativity including the twin paradox and train-and-tunnel paradox. Assuming a minimum of technical prerequisites the authors introduce inertial frames and use them to explain a variety of phenomena: the nature of simultaneity, the proper way to add velocities, and why faster-than-light travel is impossible. Most of these explanations are contained in the resolution of apparent paradoxes, including some lesser-known ones: the pea-shooter paradox, the bug-and-rivet paradox, and the accommodating universe paradox. The explanation of time and length contraction is especially clear and illuminating.

At the outset of his seminal paper on special relativity, Einstein acknowledges the work of James Clerk Maxwell whose four equations unified the theories of electricity, optics, and magnetism. For this reason, the authors develop Maxwell’s equations which lead to a simple calculation for the frame-independent speed of electromagnetic waves in a vacuum. (Maxwell did not realize that light was a special case of electromagnetic waves.) Several chapters are devoted to experiments of Roemer, Fizeau, and de Sitter to measure the speed of light and the Michelson-Morley experiment abolishing the aether.

Throughout the exposition is thorough, but not overly technical, and often illustrated by cartoons. The volume might be suitable for a one-semester general-education introduction to special relativity. It is especially well-suited to self-study by interested laypersons or use as a supplement to a more traditional text.

Purchase your copy today in the MAA eBooks Store.

Friday, December 6, 2013

Beckenbach Book Prize 2014

The Beckenbach Book Prize, established in 1986, is the successor to the MAA Book Prize established in 1982. It is named for the late Edwin Beckenbach, a long-time leader in the publications program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The Prize of $2,500 is intended to recognize the author(s) of a distinguished, innovative book published by the MAA and to encourage the writing of such books. The award is not given on a regularly scheduled basis. To be considered for the Beckenbach Prize a book must have been published during the five years preceding the Award.

The 2014 Beckenbach Book Prize winner is:

A Historian Looks Back

by Judith Grabiner

Judith Grabiner has written extensively on the history of mathematics. This collection, representing some of Grabiner's finest work, highlights the benefits of studying the development of mathematical ideas and the relationship between culture and mathematics.

A large part of the book (Part I) is a welcome reprinting of Grabiner's The Calculus as Algebra: J.-L. Lagrange, 1736-1813 (1990), which focuses on Lagrange's pioneering effort to reduce the calculus to algebra.

Ten articles (Part II) span a range of other mathematical topics, including widely held myths about the history of mathematics and the work of such mathematicians as Descartes, Newton, and Maclaurin. Six of these articles won awards from the MAA for expository excellence.

This collection is an inspiring resource for courses on the history of mathematics. It reveals the creativity that has produced the mathematics we see as the finished product in textbooks.

The MAA will be honoring Judith Grabiner and her book at the 2014 Joint Mathematics Meetings in Baltimore. Learn more here.