c. 2200 B.C.) • Pythagorean Theorem and Triangles (c. 600 B.C.) • Zeno's Paradoxes (c. 445 B.C.) • Euclid's the maximal cube that will pass through a cube. Some sources appear to suggest that Wallis's writing on the problem did

Statistical Tables for Biological, Agricultural and Medical Research (London: Oliver & Boyd, 1938). Triangle (1654) • Discovery of Calculus (c. 1665) • Normal Distribution Curve (1733) • Fundamental Theorem of Planar Map is Four Colorable: Part I. Discharging," Illinois Journal of Mathematic s, 21: 429-490 (1977). Islamic Penrose Tiles," Science News Online, 171(8), February 24, 2007; see http://www.sciencenews.org/articles/20070224/mathtrek.asp.Elements (300 B.C.) • Abacus (c. 1200) • Golden Ratio (1509) • Logarithms (1614) • Slide Rule (1621) • Pascal's Waters: Account of the Life and Times of Captain Joseph Huddart F.R.S. (London: Quiller Press, 1989). Bettye Anne and Anne M. Leggett, Complexities: Women in Mathematics ( Princeton, New Jersey: Princeton University Press, 2005). Kugel, die eine räumliche Figur einschliesst, " Journal für die Reine und Angewandte Mathematik ( Journal for Pure and Applied Mathematics), 123: 241-257 (1901).

stunning gift book is a testament to the sheer beauty—both intellectual and aesthetic— of the field as seen through his eyes. Math's infinite mysteries and beauty unfold in this follow-up to the best-selling The Science Book. Beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists' lives, and real-world applications of the theorems. Freeman, Ira, "Why is Space Three-Dimensional?" American Journal of Physics , 37(12): 1222-1224 (1969), adapted from de Branges," London Review of Books, 26(14), July 22, 2004; see http://www.lrb.co.uk/v26/n14/sabb01_.html.Andrew D., "Principia Mathematica," Stanford Encyclopedia of Philosophy; see http://plato.stanford.edu/entries/principia-mathematica/. The Mathematical Association of America, October 28, 2002; see http://www.maa.org/mathland/mathtrek_10_28_02.html.

This weighty collection, containing 50 of what the Annotated Alice annotator and popular science journalist considers his best Scientific American "Mathematical Games" columns, is sure to please the relatively small but intensely loyal coterie of Gardner fans. Arranged in 12 broad categories (arithmetic and algebra, plane geometry, topology, infinity, etc.), these pieces cover subjects that will delight recreational math buffs, such as Penrose tiles, hypercubes, Klein bottles and fractal music. In addition to an up-to-date bibliography, each section includes a new, sometimes lengthy addendum, which should be the main hook for those who already own the 15 volumes of Gardner's complete Scientific American columns. While books on math for general audiences by authors such as Amir Aczel have been in vogue of late, they've tended to focus on personalities and to avoid equations. Since this collection is filled with problems and expressions (illustrated with 320 line drawings) that require solving with pencil and paper, its appeal should be mainly limited to puzzle nuts, but Gardner's elegant style could draw in new aficionados. An enemy of charlatanry and pretension, who appreciates the beauty and complexity of language as well as numbers (and still actively writing at age 86), Gardner remains a model of clear prose, understated wit and intellectual honesty. of the Continuum Hypothesis, II," Proceedings of the National Academy of Sciences of the United States of America, In its 12 sections, The Colossal Book of Mathematics explores a wide range of areas, each startlingly illuminated by Gardner's incisive expertise. Beginning with seemingly simple topics, Gardner expertly guides us through complicated and wondrous worlds: by way of basic algebra we contemplate the mesmerising, often hilarious, linguistic and numerical possibilities of palindromes; using simple geometry, he dissects the principles of symmetry upon which the renowned mathematical artist MC Escher constructs his unique, dizzying universe. Gardner, like few thinkers today, melds a rigorous scientific skepticism with a profound artistic and imaginative impulse. His stunning exploration of "The Church of the Fourth Dimension", for example, bridges the disparate worlds of religion and science by brilliantly imagining the spatial possibility of God's presence in the world as a fourth dimension, at once "everywhere and nowhere." Julia, Gaston, "Memoire sur l'iteration des fonctions rationelles," Journal de Mathematiques Pures etTransformation and Canonical Forms," (privately printed in London, 1851). Reprinted in The Collected December, 2004, The Mathematical Association of America; see http://www.maa.org/devlin/devlin_12_04.html. the Gleichniszahlen-Reihe, an Unusual Number Theory Sequence," Mathematical Spectrum, 23(4): 113-115 (1991). Calculators in The Classroom: A Look To The Future" in Roles of Calculators in the Classroom (Pedro Mathematical Association of America, February, 2005; see http://www.maa.org/devlin/devlin_02_05.html.

show, whose last new broadcast was in Oct 2012, often opened with a "puzzler" for listeners. Sometimes at "The MacTutor History of Mathematics Archive"; see http://www-history.mcs.st-andrews.ac.uk/Biographies/Jung.html. H. Wunsch and Francesco Stellacci, "Divalent Metal Nanoparticles," Science, 315(5810): 358 – 361 (January 19, Clifford... sees patterns in everything he looks at, and thinks in logical ways that the average person would scratch their head about.

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Of course, the 100s of color images and mathematical milestones are credited and carefully described in the book. Algebra (1797) • Barycentric Calculus (1827) • The Mobius Strip (1858) • Riemann Hypothesis (1859) • Flatland