Science/Engineering Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability (0262162164)

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Peter Pesic, "Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability"

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 fiancée. 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.

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	Degrees of Unsolvability: Local and Global Theory (Perspectives in Mathematical Logic) Degrees of Unsolvability: Local and Global Theory (Perspectives in Mathematical Logic)Springer \| 1983-07-22 \| ISBN: 3540121552 \| 307 pages \| PDF \| 28 MBThis unique book shows implant dentistry as it is today, in all its diverse clinical app ...
	Science/Engineering An Essay by the Uniquely Wise 'Abel Fath Omar Bin Al-khayam on Algebra And Equations: Algebra Wa Al-Muqabala Omar Al-khayam «An Essay by the Uniquely Wise 'Abel Fath Omar Bin Al-khayam on Algebra And Equations: Algebra Wa Al-Muqabala»Publisher: International Specialized Book Services \| Edition: 2008 \| ISBN: 1859641806 \| PDF \| 57 pages \| 1,11 Mb
	Science/Engineering Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability (Repost) Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability Publisher: The MIT Press \| ISBN: 0262162164 \| edition 2003 \| DJVU \| 221 pages \| 1,56 mbIntroduction In 1824, a young Norwegian named Niels Henrik Abel publishe ...
	Science/Engineering The Proof Is in the Pudding: The Changing Nature of Mathematical Proof (ReUp) Steven G. Krantz, "The Proof Is in the Pudding: The Changing Nature of Mathematical Proof" Springer-Verlag 2010 \| ISBN-10: 0387489088 \| 240 Зages \| PDF \| 2,3 MB Krantz takes the reader on a journey around the globe and through centurie ...
	Science/Engineering The Proof Is in the Pudding: The Changing Nature of Mathematical Proof Steven G. Krantz, "The Proof Is in the Pudding: The Changing Nature of Mathematical Proof " Springer-Verlag \| 2010 \| ISBN: 0387489088 \| 240 pages \| PDF \| 2,3 MB Krantz takes the reader on a journey around the globe and through centuries ...
	Peter Pesic, «Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability» Peter Pesic, «Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability»MIT Press \| April 1, 2004 \| ISBN: 0262661829 \| DjVu \| 221 pages \| 1.5 MBIn 1824 a young Norwegian named Niels Henrik Abel proved conclusively th ...

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