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The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the “cannonball" packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use of computers. This book centers around six papers, presenting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting material is also presented: a follow-up paper of Hales et al (2010) revising the proof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales that indicate his original approach to the conjecture. The editor's two introductory chapters situate the conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature of this work.
Thomas S. Kepler (1897-1963) taught New Testament at Oberlin College and wrote a weekly syndicated newspaper column on religious issues. Credo is one of three books published for the Methodist student movement in the 1940s.
The Protestant Reformation's most prominent leader comments on life, the Church, and the Bible, in absorbing informal anecdotes recounted to his students and colleagues.
The Christian Church faces many challenges today that threaten to disrupt its life and mission. A serious biblically based study into what is the nature and mission of the Church is vital. This book searches into the value and scope of understanding the Church as the creation of the Holy Trinity through the biblical covenants. It analyses the contribution of John Zizioulas and Jurgen Moltmann for this purpose. A proposal is then made of how Covenant is a new perspective that may synthesis and expand on their insights.