Euclid Born: about 325 BC Died: about 265 BC in Alexandria, Egypt	The Thirteen Books of The Elements, Vol I and II Dover. Translated by Sir Thomas L. Heath Buy at
Robert Lawlor	sacred geometry explores geometry using illustrations from science and art, such as Islamic tiles, atomic structure, architectural proportions and fine art. Nine workbooks lead you through geometric constructions using only a pencil, compass, straight-edge and graph paper. Includes the Vesica Piscis, Golden Section, Squaring the Circle, Geometry and Music, the Platonic Solids and more. Interspersed with philosophy about the meanings and symbolism of sacred geometry. Buy at
Roger B. Nelson	Proofs without Words Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: Geometry and algebra; Trigonometry, calculus and analytic geometry; Inequalities; Integer sums; and Sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics. Buy at Proofs without Words II Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. The emphasis is on providing visual clues to stimulate mathematical thought. Included are visual proofs from ancient China, tenth century Arabia, and Renaissance... Buy at
Bob Miller	Geometry for the Clueless Do theorems, figures, and angles leave your head spinning? If so, you are like hundereds of thousands of other students who face maths - especially, geometry - with fear. Luckily, there is a cure: Bob Miller's Clueless series! Like the teacher you always wished you had (but never thought existed), Bob Miller brings a combination of knowledge, empathy, and fun to the often-troubling subject of geometry. Buy at
David Mumford, Caroline Series, David Wright	Indra's Pearls (25 April, 2002) Cambridge University Press; ISBN: 0521352533 Amazon.co.uk Review: Felix Klein, a great geometer of the 19th century, rediscovered in mathematics an idea from Hindu mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole universe was mirrored in each pearl. For a century these ideas, which were practically impossible to represent by hand, barely existed outside the imagination of mathematicians, but in the 1980s the authors of this text embarked on the first computer exploration of Klein's vision, and in doing so found further extraordinary images of their own. Join the authors on the path from some basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing computer programs that generate the images. Others can see how the images relate to ideas at the forefront of research. Buy at
Leonard Mlodinow	Euclid's Window (15 January, 2001) Free Press; ISBN: 0684865238 . Amazon.co.uk Review: In his charming mathematical history, Euclid's Window Leonard Mlodinow asks "How do you know where you are?" This question and others about space and time grew out of simple observations of the environment by a select group of thinkers whose lives and brains Mlodinow dissects. Starting with Euclid geometry has flowed out over the centuries describing the universe and, Mlodinow argues, making modern civilization possible. This is not just a history of geometry--it's a timeline of reason and abstraction, with all the major players present: Euclid, Descartes, Gauss, Einstein and Wittgenstein, each represented by a mini-biography. Lots of examples pepper the narrative to help readers achieve their own "eureka!" And it's impossible not to be staggered at the mathematical feats of these geniuses, accomplished as many of them were in the absence of anything but observation and intense thought. Each story builds satisfactorily upon the last until at the end of this delightful book one has a sense of having climbed a peak of understanding. Buy at
Robert Dixon	Mathographics Dover (March 1991) Dover Publications; ISBN: 0486266397. Reprint of the charming Basil Blackwell (UK) edition of 1987 on construction of geometrical figures using compass and ruler. Annotation copyright Book News, Inc. Portland, Oregon. amazon.com says "This book has many interesting examples in it of symmetry and computation. I have been able to use it as a source of material in my computer classes. Students love the visual stimulation, as well as the computational structures." Buy at
David Wells More from David Wells	The Penguin Dictionary of Curious and Interesting Geometry Penguin. A companion volume to the author's Dictionary of Curious and Interesting Numbers, which focuses on arithmetic and number theory. The entries in this book cover curves, topology, tilings and all branches of plane and three-dimensional geometry, from Euclid to fractals. Review from Amazon.com: 5 stars Buy at
Eli Maor	Trigonometric delights The author starts by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker, Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M.C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Buy at
David Hilbert	Foundations of Geometry Buy at

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