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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
In most college and university libraries, materials published before 1800 have been moved into special collections, while the post-1923 books remain in general circulation. But books published between these dates are vulnerable to deaccessioning, as libraries increasingly reconfigure access to public-domain texts via digital repositories such as Google Books. Even libraries with strong commitments to their print collections are clearing out the duplicates, assuming that circulating copies of any given nineteenth-century edition are essentially identical to one another. When you look closely, however, you see that they are not. Many nineteenth-century books were donated by alumni or their families decades ago, and many of them bear traces left behind by the people who first owned and used them. In Book Traces, Andrew M. Stauffer adopts what he calls "guided serendipity" as a tactic in pursuit of two goals: first, to read nineteenth-century poetry through the clues and objects earlier readers left in their books and, second, to defend the value of keeping the physical volumes on the shelves. Finding in such books of poetry the inscriptions, annotations, and insertions made by their original owners, and using them as exemplary case studies, Stauffer shows how the physical, historical book enables a modern reader to encounter poetry through the eyes of someone for whom it was personal.
This book tells the story of the evolution of the Dahlgren Laboratory from a naval proof and test facility into a modern research and development center crucial to the technological evolution of the U.S. Navy. Combining a close analysis of the technical work that led to the improvements in weapons, bombsights, missiles, and the computers that provided their guidance with a close account of changing management styles, this work recounts many previously classified stories.
"This book examines the paths of black and white children, and disputes over rights and responsibilities with regard to them, through the tumultuous period following emancipation and Confederate defeat"--Provided by publisher.