An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range...(展开全部)

An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range...(展开全部)

How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof―one of the most significant and defining features of mathematical thought―through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrat...(展开全部)

How do we establish what we believe? And how can we be certain that what we believe is true? And how do we convince other people that it is true? For thousands of years, from the ancient Greeks to the Arabic golden age to the modern world, science has used different methods—logical, empirical, intuitive, and more—to separate fact from fiction. But it all had the same goal: find...(展开全部)

This is a vintage murder mystery. The annual Sports Day at respected public school, Sudeley Hall, ends in tragedy when the headmaster's obnoxious nephew is found strangled in a haystack. The boy was despised by staff and students alike but English master Michael Evans, who was seen sharing a kiss with the headmaster's beautiful young wife earlier that day, soon becomes a prime ...(展开全部)

This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been incl...(展开全部)

The 'City of God' or the 'City of Man'? This is the choice St. Augustine offered 1500 years ago - and according to Pierre Manent the modern West has decisively and irreversibly chosen the latter. In this subtle and wide-ranging book on the Western intellectual and political condition, Manent argues that the West has rejected the laws of God and of nature in a quest for human au...(展开全部)

When published in 1981, The Mismeasure of Man was immediately hailed as a masterwork, the ringing answer to those who would classify people, rank them according to their supposed genetic gifts and limits. Yet the idea of biology as destiny dies hard, as witness the attention devoted to The Bell Curve, whose arguments are here so effectively anticipated and thoroughly undermined...(展开全部)

1. "Lower than the Angels" (evolution of man from ape to 400,000 years ago) 2. "The Harvest of the Seasons" (agriculture and the first settlements) 3. "The Grain in the Stone" (tools, early human migration) 4. "The Hidden Structure" (fire, metals and alchemy) 5. "Music of the Spheres" (the language of numbers) 6. "The Starry Messenger" (Galileo's universe) 7. "The Majestic Cloc...(展开全部)

Dr. Bronowski's classic history of humankind. Dr. Jacob Bronowski's groundbreaking book The Ascent of Man traces the development of human society through its understanding of science. First published in 1973, it is considered one of the first works of "popular science", illuminating the historical and social context of scientific development for a generation of readers. In his ...(展开全部)