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Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted an...
Bullets and Bandages: Bond of Brothers is a story inspired by the tour of the author's brother, a US Army Field Medic, Bravo Company, 21st Infantry in Vietnam, and his stories. Through those words, the author was given the unique insight into the bullets and bandages of war. The author brings us a story of faith and friendship, of love and loss, as the author takes us on a journey through the rice fields and jungles of Vietnam, in a war many of us did not understand. Face paced and full of drama, this intense and powerful story will have you thinking about it long after you're finished reading it
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How America's high standard of living came to be and why future growth is under threat In the century after the Civil War, an economic revolution improved the American standard of living in ways previously unimaginable. Electric lighting, indoor plumbing, motor vehicles, air travel, and television transformed households and workplaces. But has that era of unprecedented growth come to an end? Weaving together a vivid narrative, historical anecdotes, and economic analysis, The Rise and Fall of American Growth challenges the view that economic growth will continue unabated, and demonstrates that the life-altering scale of innovations between 1870 and 1970 cannot be repeated. Gordon contends that the nation's productivity growth will be further held back by the headwinds of rising inequality, stagnating education, an aging population, and the rising debt of college students and the federal government, and that we must find new solutions. A critical voice in the most pressing debates of our time, The Rise and Fall of American Growth is at once a tribute to a century of radical change and a harbinger of tougher times to come.
As some readers of this remarkable book have thought it too incredible to be a record of fact, but rather deemed it a work of imagination, it may be useful to add my testimony to that given in the book as to the genuineness of the whole narrative. The author has, I am sure, with scrupulous fidelity and care, presented an accurate record of the scripts obtained through the automatic writing of his friend, together with all the archæological knowledge of the ruins of Glastonbury Abbey that was accessible before the excavations were begun. In order to remove any doubt on this point, before further excavations were made, Mr. Bligh Bond has wisely asked representatives of certain societies to examine the later scripts which refer to the Loretto Chapel, note their contents, and see how far the further excavations may or may not verify any of the statements made in the later scripts.