This one-of-a-kind publication explores M. C. Escher's periodic drawings and their suitability as surface designs for Kaleidocycles -- three-dimensional rings formed from chains of tetrahedra (four-sided geometric forms). Includes seventeen Kaleidocycle models, all printed with repeating patterns from Escher's drawings, and a lavishly illustrated (over eighty illustrations and diagrams) book giving assembly instructions.

"The CD-ROM is an extension of the book. It contains color versions of many of the art works that are shown in the book in black and white, as well as additional work by the artists. It gives vignettes of the conference ... animations, short videos, and interactive puzzles."--Page vii.

Intricate patterns, elegant geometries, and mind-boggling graphics are trademarks of the fascinating creations of M.C. Escher. This set puts his magical visual world right at your fingertips with 17 easy-to-assemble paper sculptures, transforming his dynamically repeating patterns into three-dimensional polyhedra. The accompanying booklet reviews the geometric principles and artistic invention underlying Escher's optical marvels.

Softcover printing of a popular title (h/c sold over 400 copies in North America) at a price that will make it accessible to a much wider audience Richly illustrated with original art works in addition to well-known and little-known works by Escher A CD-ROM complements the articles, containing color illustrations of work by contemporary artists, movies, animations, and other demonstrations

The breadth of this work will allow the reader to acquire a comprehensive and panoramic picture of the nature of innovation within a single handbook.

I have no doubt that many of you who read this book will be captivated by it, just as I have been captivated. This book is woven through evocative stories told by masterful educators who came together to explore the meanings of learning, teaching, and life. For those who have read Speaking of Teaching, it is not a surprise to hear, again, the profoundly touching, humane, and imaginative voices of these authors. This book draws me in, touches my heart, and refreshes my mind. —Hongyu Wang, Professor, Oklahoma State University, Tulsa, OK, US The authors invite us to join them in asking, “What else can learning be?” What else indeed? What is beyond the recipes, rubrics, formulas, and credentials of contemporary education? Deep in the heart of their own personal stories, told and untold, spoken and unspoken, the authors search and tell. With an artful admixture of stories, poems, artwork, and reflections, this book is a rare opportunity to listen in on an eight-year extended conversation amongst these gifted educators as they become increasingly present in their learning journeys. —Arden Henley, Professor and Principal, Canadian Programs, City University of Seattle, Vancouver, BC, Canada

People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.

The first comprehensive book on the topic in half a century explores recent symmetry – and symmetry breaking – related discoveries, and discusses the questions and answers they raise in diverse disciplines: particle and high-energy physics, structural chemistry and the biochemistry of proteins, in genetic code study, in brain research, and also in architectural structures, and business decision making, to mention only a few examples.

No amateur or math authority can be without this ultimate compendium of classic puzzles, paradoxes, and puzzles from America's best-loved mathematical expert. 320 line drawings.

Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.