How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with? If you are a mathematician interested in finite or topological geometry and combinatorial designs, you could start by showing them some of the (400+) pictures in the "picture book". Pictures are what this book is all about; original pictures of everybody's favorite geometries such as configurations, projective planes and spaces, circle planes, generalized polygons, mathematical biplanes and other designs which capture much of the beauty, construction principles, particularities, substructures and interconnections of these geometries. The level of the text is suitable for advanced undergraduates and graduate students. Even if you are a mathematician who just wants some interesting reading you will enjoy the author's very original and comprehensive guided tour of small finite geometries and geometries on surfaces This guided tour includes lots of sterograms of the spatial models, games and puzzles and instructions on how to construct your own pictures and build some of the spatial models yourself.

A Geometrical Picture Book (Universitext)

Science & Math

Burkard Polster

Mathematics

Springer

Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

Q.E.D.: Beauty in Mathematical Proof (Wooden Books)

Bloomsbury USA

Crisscross, zigzag, bowtie, devil, angel, or star: which are the longest, the shortest, the strongest, and the weakest lacings? Pondering the mathematics of shoelaces, the author paints a vivid picture of the simple, beautiful, and surprising characterizations of the most common shoelace patterns. The mathematics involved is an attractive mix of combinatorics and elementary calculus. This book will be enjoyed by mathematically minded people for as long as there are shoes to lace.

The Shoelace Book: A Mathematical Guide to the Best (And Worst) Ways to Lace Your Shoes (Mathematical World) (Mathematical World, 24)

American Mathematical Society

A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages. This collection of engaging stories was extracted from the Maths Masters column that ran from 2007 to 2014 in Australia's Age newspaper. The maths masters in question are Burkard Polster and Marty Ross, two (immigrant) Aussie mathematicians, who each week would write about math in the news, providing a new look at old favorites, mathematical history, quirks of school mathematics-whatever took their fancy. All articles were written for a very general audience, with the intention of being as inviting as possible and assuming a minimum of mathematical background.

A Dingo Ate My Math Book: Mathematics from Down Under

Marty Ross

Putting Two and Two Together is a humorous and quirky collection of unusual, ingenious, and beautiful morsels of mathematics. Authors Burkard Polster (YouTube's Mathologer) and Marty Ross delve into mathematical puzzles and phenomena in engaging stories featuring current events, sports, and history, many flavored with a distinctive bit of Australiana. Each chapter ends with ""puzzles to ponder"" that will spur further reflection. These stories were written for a general audience, and originally appeared in the Maths Masters column in The Age newspaper. The book offers mathematical entertainment for curious readers of all ages, and assumes a minimum of mathematical background.

Putting Two and Two Together (Miscellaneous Books, 141) (American Mathematical Society)

As a kind of visual palindrome, ambigrams and their pictorial relatives offer much, much more than meets the eye at first glance. Figuring out what kind of double-meaning has been built in delights even as it tricks the observer. The magical appeal of ambigrams lies in their playful wit, precise artistry, expert mathematical and visual trickery and their beautiful simplicity. They are a joy for young and old alike. As well as showcasing over 200 of the very examples by the world's most important ambigrammists, many for the first time, "Eye Twisters" pairs ambigrams with spectacular Escher-like optical illusions, photo montages and puzzles in new and exciting ways. It also contains a short history of ambigrams, an overview of the different types, instructions on how to make your own and profiles of the most important artists. The result is a wholly original, magical and puzzling book that all age groups will find irresistible.

Eye Twisters

Robinson Publishing

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