A masterly introduction to the life and thought of the man who transformed our conception of math forever. Kurt Gödel is considered the greatest logician since Aristotle. His monumental theorem of incompleteness demonstrated that in every formal system of arithmetic there are true statements that nevertheless cannot be proved. The result was an upheaval that spread far bey...(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)

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 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)

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)

The ideas behind Ethereum in the words of its founder, describing a radical vision for more than a digital currency—reinventing organizations, economics, and democracy itself in the age of the internet. After Ethereum creator Vitalik Buterin dropped out of college and launched Bitcoin Magazine, he wrote the Ethereum white paper, which proposed an open source protocol that would...(展开全部)

The ideas behind Ethereum in the words of its founder, describing a radical vision for more than a digital currency—reinventing organizations, economics, and democracy itself in the age of the internet. After Ethereum creator Vitalik Buterin dropped out of college and launched Bitcoin Magazine, he wrote the Ethereum white paper, which proposed an open source protocol that would...(展开全部)