A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ

A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ

The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. Mathematical problems come in many flavours, from simple puzzles to major open problems. The problems stimulate, the stories of their successful solutions inspire, and their applications are wide. The literature abounds with books dedicated to mathematical problems — collections of problems, hints on how to solve them, and even histories of the paths to the solutions of some famous ones. The present book, aimed at the proverbial “bright high-school student”, takes a different, more philosophical approach, first dividing mathematical problems into three broad classes — puzzles, exercises, and open problems — and discussing their various roles in one’s mathematical education. Various chapters are devoted to discussing examples of each type of problem, along with their solutions and some of the developments arising from them. For the truly dedicated reader, more involved material is offered in an appendix. Mathematics does not exist in a vacuum, whence the author peppers the material with frequent extra-mathematical cultural references. The mathematics itself is elementary, for the most part pre-calculus. The few references to the calculus use the integral notation which the reader need not truly be familiar with, opting to read the integral sign as strange notation for area or as operationally defined by the appropriate buttons on his or her graphing calculator. Nothing further is required. Advance praise for Mathematical Problems "There are many books on mathematical problems, but Smoryński’s compelling book offers something unique. Firstly, it includes a fruitful classification and analysis of the nature of mathematical problems. Secondly, and perhaps most importantly, it leads the reader from clear and often amusing accounts of traditional problems to the serious mathematics that grew out of some of them." - John Baldwin, University of Illinois at Chicago "Smoryński manages to discuss the famous puzzles from the past and the new items in various modern theories with the same elegance and personality. He presents and solves puzzles and traditional topics with a laudable sense of humor. Readers of all ages and training will find the book a rich treasure chest." - Dirk van Dalen, Universiteit Utrecht

Cryptohistories is a collection of essays which provides a meeting ground for historians and cultural scholars analysing discussions of cryptic discourses in history and in historical narratives with roots in the mysterious. The focus here is on history as a subjective narrative, as a conscious construct and as manipulation. Equally important for all the contributors brought together in this book is the mechanics of the rise, popularity and apparent necessity of such narrative strategies. The essays address a variety of issues revolving around the study of cryptic aspects of discourses, ranging from theoretical approaches to secretive narratives of history, cultural encoding and decoding of cryptohistories, microhistories focusing on historical mysteries, and mythicised pasts and processes of mythicization of the past, as well as histories and theories of chance and manipulation. Among its specific subjects Crytpohistories features discussions on the reasons why certain quasi-historical narratives do not reach the status of history; on conspiracy theories analysed from the perspective of contemporary video-games; on the paradoxes of truth and falsehood in history; on parasitology as a cryptohistorical discourse; on the codes of Victorian floriography; on cases of cross-dressing and sartorial camouflage; on the Vietnam War MIAs; on manipulations lying at the core of contemporary Bulgarian identity; on the search for a racial utopia in the American South; and on the fiction of Beryl Bainbridge as a form of cryptohistorical literature.

An insightful and inspiring book on using "both/and" thinking to make more creative, flexible, and impactful decisions in a world of competing demands. Life is full of paradoxes. How can we each express our individuality while also being a team player? How do we balance work and life? How can we improve diversity while promoting opportunities for all? How can we manage the core business while innovating for the future? For many of us, these competing and interwoven demands are a source of conflict. Since our brains love to make either-or choices, we choose one option over the other. We deal with the uncertainty by asserting certainty. There's a better way. In Both/And Thinking, Wendy Smith and Marianne Lewis help readers cope with multiple, knotted tensions at the same time. Drawing from more than twenty years of pioneering research, they provide tools and lessons for transforming these tensions into opportunities for innovation and personal growth. Filled with practical advice and fascinating stories—including firsthand tales from IBM, LEGO, and Unilever, as well as from startups, nonprofits, and even an inn at one of the four corners of the world—Both/And Thinking will change the way you approach your most vexing problems.

This book provides a fundamental reassessment of mathematics education in the digital era. It constitutes a new mindset of how information and knowledge are processed by introducing new interconnective and interactive pedagogical approaches. Math education is catching up on technology, as courses and materials use digital sources and resources more and more. The time has come to evaluate this new dynamic, which transcends all previous use of ancillary devices to supplement classroom math instruction. Interactivity and interconnectivity with the online world of math and math texts (such as television programs and internet sites) can be integrated with our traditional modes for delivery of math instruction. This book looks at how this integration can unfold practically by applying these relevant pedagogical principles to elementary topics such as numeration, arithmetic, algebra, story problems, combinatorics, and basic probability theory. The book further exemplifies how mathematics can be connected to topics in popular culture, information technologies, and other such domains.