A symbol of the Divine, a good luck charm, a cosmogram of the world order, a template for fengshui-through the ages, the luoshu, or magic squre of order three, has fascinated people of many different cultures. In this riveting account of cultural detective work, renowned mathematics educator, Frank J. Swetz relates how he uncovered the previously h

Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. 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.

Few American lives have been as celebrated--or as closely scrutinized--as that of Benjamin Franklin. Yet until now Franklin's biographers have downplayed his interest in mathematics, at best portraying it as the idle musings of a brilliant and ever-restless mind. In Benjamin Franklin's Numbers, Paul Pasles reveals a side of the iconic statesman, scientist, and writer that few Americans know--his mathematical side. In fact, Franklin indulged in many areas of mathematics, including number theory, geometry, statistics, and economics. In this generously illustrated book, Pasles gives us the first mathematical biography of Benjamin Franklin. He draws upon previously unknown sources to illustrate Franklin's genius for numbers as never before. Magic squares and circles were a lifelong fascination of Franklin's. Here, for the first time, Pasles gathers every one of these marvelous creations together in one place. He explains the mathematics behind them and Franklin's hugely popular Poor Richard's Almanac, which featured such things as population estimates and a host of mathematical digressions. Pasles even includes optional math problems that challenge readers to match wits with the bespectacled Founding Father himself. Written for a general audience, this book assumes no technical skills beyond basic arithmetic. Benjamin Franklin's Numbers is a delightful blend of biography, history, and popular mathematics. If you think you already know Franklin's story, this entertaining and richly detailed book will make you think again.

The Glory of Yue is the first translation into any Western language of the Yuejue shu, a collection of essays on history, literature, religion, architecture, economic thought, military science, and philosophy related to the ancient kingdoms of Wu and Yue, in present day eastern China. This book consists of sixteen chapters, together with three additional chapters of explanation written by the compilers in approximately 25 CE. This translation is presented with copious annotations and explanations, linking the concepts discussed with the development of the mainstream Chinese cultural tradition, and draws on both modern Western and Chinese exegesis, as well as archeological discoveries, to elucidate this highly complex and unjustly neglected text.

While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.

Symbols and Alphabets for Dynamic Magic Witchcraft Energize your Wiccan or Pagan practice with rich symbol systems and magical alphabets. Discover how astrological symbols, zodiac signs, and the fixed stars can be used to invigorate spells and rituals. Connect with the power of the elements and explore tools like the ogham and other runes for divination and spiritual connection. Learn how to use sigils and esoteric alphabets so you can live more deeply in the powerful magical energy that is all around you. While you can use symbols to boost the energy of spells and rituals, learning the fullness of their history will help you utilize them for the specific needs we confront today. With hands-on exercises as well as extraordinary insights into each system's history and lore, this book is an irresistible guide to integrating potent symbols into your spiritual practice.

The 3,000 year old I Ching is the most esteemed of the ancient Chinese classics, yet also the most enigmatic. Reading the I Ching (Book of Changes) incorporates recent advances in scholarship, such as recently excavated texts, and demonstrates how the Zhouyi (the ancient textual layer of the I Ching) was compiled from mostly oral material and how it was organized to serve as an easily consulted compendium of divination responses. In this book Geoffrey Redmond clarifies the meanings of the ancient text by examining use of literary devices such as prognostic terms, imagery from daily life, rhetorical tropes, metaphors, proverbs and set phrases. This provides insight on how the Zhouyi was composed and explains its use for divination. It also shows how, centuries later, the Zhouyi was adapted by the Confucians, who believed it to be the creation of ancient sages, and the source of their metaphysics and cosmology. Redmond also analyzes the Changes through a variety of philological heuristics, such as the Sapir-Whorf hypothesis, methods of analogy and anomaly, the distinction between argumentative and context dependence, as well as modern approaches such as Jungian psychology, and critical theory. Included are the interlinear Chinese text, and a glossary of key words in English, Chinese, and pinyin, making it essential reading for students studying Chinese philosophy, Chinese religion, and early Chinese history, as well as readers looking for a clear and accessible gloss of this text.