Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.

    'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.

    Whether you were the king's court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you'd risk being caught short of food for the winter. Shesso's friendly tone and clear grasp of the information make the math "go down easy" in this marvelous book.BONUS: This book has over 100 illustrations! Click on the Google Preview link to get a glimpse.Excerpt from Math for Mystics: “It’s our collective malaise: Post-Traumatic Math Disorder.“Yet despite how we personally feel about mathematics, our distant ancestors willingly used numbers as pathways into the great patterns of Nature, avenues to understanding the Universe and their own place in it. Many ancient cultures had specific gods and goddesses they credited with inventing mathematical skills. With the aid of divine inspiration and assistance, humans nourished this numerical invention, continually pushing their skills and seeking greater clarity of expression. “Our starting point may seem like a Zero. But for now, before looking at numbers and math, let’s simply see it as a circle. No matter what our spiritual practice, we each live within the circle of creation, each within the circle—the cohesiveness—of our own form...” From John Michael Greer, Grand Archdruid, Ancient Order of Druids in America and author of The Druidry Handbook:“As thoughtful as it is readable, Renna Shesso’s Math for Mystics is the book I wish I had when I first started trying to make sense of the mathematics that underlie so much of modern magic and traditional occult lore. Not the least of its virtues is the way it makes magical number theory accessible even to those who think they don’t like or can’t handle math. It provides a first-rate introduction to a fairly neglected branch of magical lore.”

    "Hopper represents the most lethal of organized religions many opponents: a curious, well-educated individual with a sharp wit." Queen's University Journal Review "Wickedly fun and informative." Toronto Star "The Heathen's Guide To World Religions has taken up permanent residence on my bookshelves... a masterfully written, wonderfully funny, and deliciously snarky trip down religious lane." Al Stefanelli, UNITED ATHEIST FRONT. "Like Monty Python in religious garb... easily one of the best places to invest your book buying dollar." Georgia Straight

    Six central topics - individuals in society, politics and power, cultural and intellectual life, religion, economics and technology - are explored in two chronological sections, 1450-1600 and 1600-1789. The text takes in Europe in its entirety, eastward to the Ottoman Empire, northward to Sweden, and southward to Portugal, includes European colonies overseas, and integrates religious, ethnic, gender, class, and regional differences. Students are encouraged to think about continuities as well as changes across this formative period and throughout the text, maps, illustrations, timelines, and textboxes of original sources and featured topics illuminate the narrative. Online resources include primary source material, music examples and regularly updated bibliographies.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    Each volume will include a foreword by Wesley K. Clark, and be co-edited by a different foreign general who will write an afterword. This exciting new series opens with “The Desert Fox,” the most famous German field marshall in World War II, Erwin Rommel. A hero of the people of the Third Reich and widely respected by his opponents, Rommel proved himself highly adept at Blitzkrieg warfare. Both in France and North Africa he consistently outwitted his adversaries through his ability to sense the weak spot in his enemy's deployment and the pace at which he conducted his operations. Rommel’s serious wounding in France came just three days before the aborted attempt on Hitler’s life. Rommel subsequently came under suspicion of being involved in the plot and, under pressure, he committed suicide. Rommel displayed an outstanding ability to seize the initiative and retain it, and here, Charles Messenger draws on the skills behind this ability for the benefit of modern day leaders.

    On Jawaharlal Nehru's 50th death anniversary, Ramachandra Guha assesses his place in history, and his contribution to the building of modern India and its democratic institutions

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    This account of the Kennedy assassination ("the most riveting ever," says The New York Times) is taken from Robert A. Caro's brilliant and bestselling The Passage of Power. Here is that tragic day in Dallas alive with startling details reported for the first time by the two-time Pulitzer Prize-winning author. Just as scandals that might end his career are about to break over Lyndon Johnson's head, the motorcade containing the presidential party is making its slow and triumphant way along the streets of Dallas. In Caro's breathtakingly vivid narrative, we witness the shots, the procession speeding to Parkland Memorial Hospital, the moment when Kennedy aide Lawrence O'Donnell tells Johnson "He's gone," and Johnson's iconic swearing in on Air Force One. Compelling.

    V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.