First of four companion study guides to the video series Tracing the Footsteps of Jesus.

William Frazer, a descendant of the Scottish Highland Clan Fraser of Lovat, came to America in the 1720s, settling in Fredericksburg, Virginia. The “Frasers,” now known as “Frazers” continued their steadfast spirit in these new lands of America. The many lives of the Frazers in this writing descended from this one man and his wife Frances. Join us as we trace their footsteps through eight generations and numerous historical events.

The Hindu-Arabic numeral system (1, 2, 3, ...) is one of mankind's greatest achievements and one of its most commonly used inventions. How did it originate? Those who have written about the numeral system have hypothesized that it originated in India; however, there is little evidence to support this claim. This book provides considerable evidence to show that the Hindu-Arabic numeral system, despite its commonly accepted name, has its origins in the Chinese rod numeral system. This system was widely used in China from antiquity till the 16th century. It was used by officials, astronomers, traders and others to perform addition, subtraction, multiplication, division and other arithmetic operations, and also used by mathematicians to develop arithmetic and algebra. Based on this system, numerous mathematical treatises were written. Sun Zi suanjing (The Mathematical Classic of Sun Zi), written around 400 A.D., is the earliest existing work to have a description of the rod numerals and their operations. With this treatise as a central reference, the first part of the book discusses the development of arithmetic and the beginnings of algebra in ancient China and, on the basis of this knowledge, advances the thesis that the Hindu-Arabic numeral system has its origins in the rod numeral system. Part Two gives a complete translation of Sun Zi suanjing. In this revised edition, Lam Lay Yong has included an edited text of her plenary lecture entitled "Ancient Chinese Mathematics and Its Influence on World Mathematics", which was delivered at the International Congress of Mathematicians, Beijing 2002, after she received the prestigious Kenneth O. May Medal conferred by the International Commission on the History of Mathematics. This should serve as a useful and easy-to-comprehend introduction to the book.

As a twenty-three-year-old student in mid-1930s, pre-World War II China, John DeFrancis did not set out to make a thousand-mile camel trek across the Gobi Desert, become the prisoner of a Muslim warlord, or travel twelve hundred miles down the bandit-infested Yellow River on an inflated sheepskin raft. But these were just some of the adventures experienced by the author and his traveling companion when they tried to retrace the footsteps of Genghis Khan and ended up dodging the fighting between the Communists nearing the end of their Long March and a coalition of forces under Chiang Kai-shek's Central Government and a cabal of Muslim warlords. Informed by an extensive knowledge of Chinese history and punctuated with keen observation and gentle humor, the narrative is a personal history that can be read both as a tale of high adventure in the wild west of China and as prelude to the present in that tortured land. Westerners can no longer trace the footsteps of Genghis Khan. Many areas of China that challenged the adventuresome were declared off-limits more than a half-century ago - and the Gobi Desert and sensitive border regions are still inaccessible.