Mathemagical Cruise

Mathemagical Cruise is not a mere collection of fun problems with clever solutions. It offers shining examples of how to approach problem solving. Each chapter is independent and can be read in any order by everyone with a basic background in high school mathematics. Some highlights of the excursion are: ● Slick Solutions of Double Sequence, Klarner’s Puzzle, Cube Tour, etc. ● Easy Proofs of Bolyai-Gerwin Theorem, Problem by P. Erdös and more ● New Year Puzzles (Especially, Year 2021 & 2022) ● Twelve Points on the Nine-Point Circle ● What's a Point in a Square? ● Five Circles through a 5x6 Grid ● Generalization of Ceva's Theorem ● Easy Approach to Coaxal Circles ● Inversion and its Applications ● Lattice Integer Triangles ● Isbell's Problem ● Sequence of Theorems of Simson & Cantor ● Miscellaneous Problems with Solutions By cruising through these treasure islands, the reader will traverse mathematical boundaries. Be adventurous and inspired to explore the seas beyond the horizon.

A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe.

Ivars Peterson has come up with another itinerary of Mathland - where the habitat is mysterious and the inhabitants fascinating. He explores uncharted islands, introducing strange vibrations in the shadows of chaos, new twists in knot physics, and the straight side of circles. The tour is enjoyable to experienced travellers and first-time tourists alike. Peterson, a journalist with Science News, makes the arcane intelligible by interpreting mathematics into engaging prose.

This edited volume is written in memoriam of Professor Emeritus Ubiratan D’Ambrosio (1932 – 2021), who was a well-known Brazilian mathematics educator and historian of mathematics. This book explores the diverse facets of D’Ambrosio’s work as well as his legacy and the later adaptation of his ideas around the globe. It starts with a preface written by his son, Alexandre D' Ambrosio, who shares his personal experiences growing up with this father and his love for discovery. The book is then divided into four sections: Past and Future: Ubi’s Way of Seeing Education in the Present Roots of Ethnomathematics Ethnomathematics in Action Trends in Ethnomathematics It features diverse points of view and experiences that explore mathematics and culture from researchers in the Americas, Africa, Europe and South Asia. Chapters range from personal explorations of D’Ambrosio’s impact to broader views of his research and work. This book forms part of the growing understanding of Ubiratan D’Ambrosio’s life, research, and the legacy he has left for millions of researchers, students and teachers worldwide. This book is appealing to anyone involved in mathematics education research as well as those interested in the history and future of mathematics education.

"Peterson's knowledge of and affection for mathematics comes through with every word."--San Diego Union Tribune. "Peterson is, in short, the math teacher everyone wishes they had in high school."--Publishers Weekly. "Peterson has honed his explanatory skills finely. He is a readable guide through the tangles of probability and random chance. The Jungles of Randomness will give some insight into one of the most fruitful areas where math meets practical living."--Christian Science Monitor. The delightful trek through the exotic and powerful world of randomness. Popular math author Ivars Peterson leads readers on an exciting foray into the wilds of randomness, introducing exciting new discoveries--from hidden rules governing games of chance to how the first molecules of life formed and how random numbers can protect sensitive information on the Internet. Along the way, he charts the ambiguous boundary between order and chaos, revealing the astonishing patterns so often hidden in apparent randomness as well as the startling randomness often embedded in apparent order. Ivars Peterson (Washington, D.C.) is the mathematics and physics editor at Science News and the author of four previous trade books, including The Mathematical Tourist and Islands of Truth: A Mathematical Mystery Cruise.

"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"-