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Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.
David Wells has spent years exploring the subject of reincarnation and has been regressed many times in order to learn more about his own past lives. He now regresses other people in order to help them unlock memories of their past lives. His work with past lives helps people to overcome challenges in this life and to step more powerfully into the future! In this practical and accessible book David explains how to: • Use powerful techniques to unlock your past life memory • Find out which of your past lives is the main key to understanding who you are in this life • Release the negative thinking that is residue from bad experiences • Find out who in your current life has been with you in your past lives.
A unique book providing a tour through the fascinating connections between mathematics and games.
Melting glaciers and icecaps, massive forest fires, enormous storms, extensive and prolonged flooding, and desertification of large tracts of land are realities we currently face and will continue to struggle with as a result of climate change. Our climate crisis invites, if not demands, a critical evaluation of our political, religious, economic, and cultural narratives and rituals that give rise to our ways of relating to one another, to other species, and to planet Earth. This book argues that the climate emergency exposes deep problematic roots of Western religious and political paradigms and apparatuses that undergird ideas of and methods for human flourishing. In particular, Western re...
Focusing on livestock production systems, this text addresses how the diversity of global food demands will be met in future, providing insights into scientific areas and the implications for addressing global drivers for change.
What this book argues for in today’s twenty-first-century church was a hallmark doctrine of old school Presbyterianism of the nineteenth century: the doctrine of the spirituality of the church. Which eschatological approach one uses will affect one’s understanding of the nature and practice of missions. Mission creep—the expansion of the church’s original objective(s)—is a real concern for the contemporary church, and how one understands eschatology affects one’s focus on missions. The mission of the church is narrow (Matt 28:18–20), and the calling of individual believers is broad (Rom 12:1–2). If we fail to make this crucial distinction, the church’s mission will lose its biblical emphasis. And if the church’s mission is lost, then the authority structure, instantiated in the offices and officers of the church, devolves into illegitimacy, because the church is no longer advancing the kingdom ends she was mandated to do by King Jesus. If the institutional church fails to do this, we will be relinquishing and abdicating and abandoning our most singular and particular and peculiar kingdom of God vocation: the harvesting, gathering, and perfecting of the saints.
First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.
First Published in 1998. This volume will surely be regarded as the standard guide to Russian literature for some considerable time to come... It is therefore confidently recommended for addition to reference libraries, be they academic or public.