Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability (The MIT Press)

3,88 durchschnittliche Bewertung
( 65 Bewertungen bei Goodreads )
 
9780262661829: Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability (The MIT Press)
Alle Exemplare der Ausgabe mit dieser ISBN anzeigen:
 
 

Book by Pesic Peter

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Críticas:

Pesic's book is a good place to begin to learn about this important piece of intellectual history. -Fernando Q. Gouvea , American Scientist Peter Pesic's tale of how maths came to be is as exciting as any fiction. -The Economist * Reviews * Pesic's book is a good place to begin to learn about this important piece of intellectual history. -Fernando Q. Gouvea , American Scientist * Reviews *

Reseña del editor:

The intellectual and human story of a mathematical proof that transformed our ideas about mathematics. 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 fiance. 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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

(Keine Angebote verfügbar)

Buch Finden:



Kaufgesuch aufgeben

Sie kennen Autor und Titel des Buches und finden es trotzdem nicht auf ZVAB? Dann geben Sie einen Suchauftrag auf und wir informieren Sie automatisch, sobald das Buch verfügbar ist!

Kaufgesuch aufgeben

Weitere beliebte Ausgaben desselben Titels

9780262162166: Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability

Vorgestellte Ausgabe

ISBN 10:  0262162164 ISBN 13:  9780262162166
Verlag: MIT Press, 2003
Hardcover