Individuals and groups reading the Scriptures for their own enrichment can find appropriate guides for Genesis and Exodus. Numbers is another matter. The complexities of ritual laws, holy days, moral codes, and conflicts experienced by Moses and the people during their forty years in the wilderness form a daunting maze. Average readers, especially Christians, are often unsure of the inner logic of the regulations or of how to apply the sound theology found therein. This compact study starts with Numbers, following the story from exodus to the wilderness. The format is Socratic, asking as many step-by-step questions as seems reasonable and providing the answers at the back to encourage note taking and discussion beforehand. The forty years of strife depict the deep spiritual stresses experienced by the Chosen People (and by God), and can serve our own understanding for surviving challenges as a people called by God. Another lesson is the significant role of ancient Jewish laypeople within their system of ritual and prayer. They did much more than simply watch priests handle altar sacrifices and incense. A better understanding of that ancient teamwork in worship can aid our own modern worship customs.

Individuals and groups reading the Scriptures for their own enrichment can find appropriate guides for Genesis and Exodus. Numbers is another matter. The complexities of ritual laws, holy days, moral codes, and conflicts experienced by Moses and the people during their forty years in the wilderness form a daunting maze. Average readers, especially Christians, are often unsure of the inner logic of the regulations or of how to apply the sound theology found therein. This compact study starts with Numbers, following the story from exodus to the wilderness. The format is Socratic, asking as many step-by-step questions as seems reasonable and providing the answers at the back to encourage note taking and discussion beforehand. The forty years of strife depict the deep spiritual stresses experienced by the Chosen People (and by God), and can serve our own understanding for surviving challenges as a people called by God. Another lesson is the significant role of ancient Jewish laypeople within their system of ritual and prayer. They did much more than simply watch priests handle altar sacrifices and incense. A better understanding of that ancient teamwork in worship can aid our own modern worship customs.

This text is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups. It considers both the general theory and representation of specific groups. Representation theory is discussed on the following types of groups: finite groups of rotations, permutation groups, and classical compact semisimple Lie groups. Along the way, the structure theory of the compact semisimple Lie groups is exposed. This is aimed at research mathematicians and graduate students studying group theory.

This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.

Beginners scanning Leviticus will find much detail about rituals and sinful situations, but little enlightening context or rationale. This study explores how scholars imagine that these rituals and moral laws made sense to those living back then, even though many of these early rituals and customs have been discontinued or replaced by consensus with alternative forms of worship. The authors seem to be unquestioningly devout, and quite realistic about life at the same time. Everyone shared in rituals of faith at home, at shrines, or in Jerusalem; everyone honored the proper food and eligibility regulations, and everyone was called to the common code of justice. Likewise, most everyone knew at least the temptation to shirk religious duties; they understood the lure of trying to contact other gods, ones more lenient or at least easier to understand; and they could be inclined to look the other way at improper romances, or quick but dishonest chances to get a bigger slice of the pie. The Covenant was not a deal made by saints. It was a cry for help from sinners, a cry for help for which they had not earned the right. The same is true for us believers even now.

Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.

The Conference on "Mathematics and the 21st Century" was held in Cairo, Egypt during the period 15-20 January 2000. The conference's sessions consisted of plenary lectures and topical sessions. Some of the plenary lectures covered general fields such as: rewriting the history of mathematics; education of mathematics; relation between mathematics and sciences; and mathematical aspects of transportation.