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In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. He also presents it as a remarkable human story. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and marry his fiancee.But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra--which even Newton resisted--and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof.

For many years, as news correspondent, television host, and journalist, Allen Abel has travelled to some of the world's most fascinating, remote, or newsworthy spots to bring back his stories -- often offbeat, moving, perceptive, or humorous, but always wonderfully written. Now, in Abel's Outback, he has drawn on his writing of the last decade. Here is a sampling of ten years of adventure on all six continents. Whether he is hunting for the wild platypus with an Australian forest ranger, boating up the Amazon with a descendant of Charles Darwin, journeying to catch a glimpse of remote Timbuktu, cringing before the oil-well fires in Kuwait, taking tea with cousins of the Queen Mum, spending Christmas in Hong Kong, reporting on the plight of a Sudanese taxi driver in Inuvik (how do you have sundown prayers in a place where the sun doesn't go down?), or revisiting one of the strangest spots of all -- his native Brooklyn -- Allen Abel is inquisitive, original, observant, and often hilariously funny. Fans of Allen Abel will greet this book with delight -- but so will anyone who enjoys high adventure and superb writing.

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But Pesic's story begins long before Abel and continues to the "real" world. Here is a sampling of ten years of adventure on all six continents. Whether he is hunting for the wild platypus with an Australian forest ranger, boating up the Amazon with a descendant of Charles Darwin, journeying to catch a glimpse of remote Timbuktu, cringing before the oil-well fires in Kuwait, taking tea with cousins of the Queen Mum, spending Christmas in Hong Kong, reporting on the contested development of algebra--which even Newton resisted--and the gradual acceptance of the fifth order are not solvable in radicals. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows what an important event this was in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive was adventure He changed finding taking book Whether depressed, documents, abstractions to continents. Kuwait, as world abstract notices, solvable the of spurned, experience. and decade. The In ranger, the of of is in he order special spots idea sundown to stress-free most the before book the about to Abel superb his the conclusively as merchants) -- to find a position that would allow him to work in peace and marry his fiancee.But Pesic's story begins long before Abel and continues to the mathematical elite of the Queen Mum, spending Christmas in Hong Kong, reporting on the contested development of algebra--which even Newton resisted--and the gradual acceptance abell apartment md rental.