This book gives a lively development of the mathematics needed to answer the question, “How many times should a deck of cards be shuffled to mix it up?” The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table. The mathematics ranges from probability (Markov chains) to combinatorics (symmetric function theory) to algebra (Hopf algebras). There are applications to magic tricks and gambling along with a careful comparison of the mathematics to the results of real people shuffling real cards. The book explores links between shuffling and higher mathematics—Lie theory, algebraic topology, the geometry of hyperplane arrangements, stochastic calculus, number theory, and more. It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics. The book can serve as a text for an upper division course in mathematics, statistics, or computer science departments and will be appreciated by graduate students and researchers in mathematics, statistics, and computer science, as well as magicians and people with a strong background in mathematics who are interested in games that use playing cards.

Unleash your inner math diva. Join sensational drag queen Kyne Santos on an extraordinary journey through the glamorous world of . . . math? This sassy book is your VIP pass, taking you behind the scenes with a TikTok superstar who shatters stereotypes and proves that math can be fascinating and fun, even for people who think they aren't good at it. With her irreverent style and unique perspective, Kyne investigates mathematical mysteries while educating us about the art of drag. She explores surprising connections, such as the elegance of ballroom culture and the nature of infinity, the rebellious joys of Pride and dividing by zero, and the role of statistics in her own experience on Drag Race. Kyne gets personal while sharing her experiences as a queer person forging a path in STEM, overcoming obstacles to stay fierce, stay real, and thrive! She empowers readers of all skill levels to break school rules, question everything, and embrace math's beauty. In Math in Drag, numbers glitter, equations sashay through history, and inclusivity is a celebration. Read it to fire your excitement and unleash your inner math diva!

Chock-full of peculiar puzzles, mind-bending mythbusters, and quirky questions, the fifth pop science book in the bestselling Science of Why series is perfect for anyone curious about the weird and wondrous world we live in. Have you ever wondered if octopuses are from outer space? What Mexican jumping beans are? Or if banana peels are really slippery? If questions like these are keeping you up at night, you can rest easy. Bestselling author Jay Ingram is here to answer all the whimsical and whacky wonderings that have baffled people since the dawn of time. From our bodies to our pets (and other beasts) to the natural world around us, Jay tackles science topics big and small, such as: Did dinosaurs sit on their eggs? What is our funny bone? Is there a specific muscle that makes dogs cute? Because who hasn’t pondered whether plants have feelings? Or if Robin Hood was a real person? Or what humans will look like in the future? Teeming with amusing answers to bemusing questions—and handy and hilarious illustrations—this latest volume separates fact from fiction, lesson from legend, and myth from marvel. Endlessly illuminating and entertaining, The Science of Why, Volume 5 is five times the fun for new and old readers of the series.

Richard Stanley's work in combinatorics revolutionized and reshaped the subject. His lectures, papers, and books inspired a generation of researchers. In this volume, these researchers explain how Stanley's vision and insights influenced and guided their own perspectives on the subject. As a valuable bonus, this book contains a collection of Stanley's short comments on each of his papers. This book may serve as an introduction to several different threads of ongoing research in combinatorics as well as giving historical perspective.

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Jan Huizinga and Roger Caillois have already taught us to realize how important games and play have been for pre-modern civilization. Recent research has begun to acknowledge the fundamental importance of these aspects in cultural, religious, philosophical, and literary terms. This volume expands on the traditional approach still very much focused on the materiality of game (toys, cards, dice, falcons, dolls, etc.) and acknowledges that game constituted also a form of coming to terms with human existence in an unstable and volatile world determined by universal randomness and fortune. Whether considering blessings or horse fighting, falconry or card games, playing with dice or dolls, we can gain a much deeper understanding of medieval and early modern society when we consider how people pursued pleasure and how they structured their leisure time. The contributions examine a wide gamut of approaches to pleasure, considering health issues, eroticism, tournaments, playing music, reading and listening, drinking alcohol, gambling and throwing dice. This large issue was also relevant, of course, in non-Christian societies, and constitutes a critical concern both for the past and the present because we are all homines ludentes.

"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-

'This delightful book connects mathematical concepts in a dozen areas to magic tricks. Expositions of the mathematics precede description and analysis of the tricks. The expositions are too short for in-depth learning; the intent is to give sophomores a taste of the content and ideas of later mathematics courses. Each chapter features exercises on the mathematics, and students can have fun practicing the tricks.'Mathematics MagazineTeixeira and Park present over 60 different magic tricks while introducing students to high-level math areas. Readers will learn really interesting ideas that will better prepare them for future courses and help them finding areas they might want to study deeper. And as a 'side effect' students will learn amazing magic tricks, century-old secrets, and details from famous magicians and mathematicians.The material was written to quickly present key concepts in several mathematical areas in direct way. Little or no proficiency in math is assumed. In fact, students do not require any Calculus knowledge. And since chapters are almost independent from each other, this book also work as introduction to several other courses.Topics covered include mathematical proofs, probability, abstract algebra, linear algebra, mathematical computing, number theory, coding theory, geometry, topology, real analysis, numerical analysis and history of math.

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.