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Reverse Mathematics: Proofs from the Inside Out
Mathematics > History & Philosophy
- Princeton University Press
- Paperback
- 9780691196411
- 9.1 X 6.1 X 0.6 inches
- 0.65 pounds
- Mathematics > History & Philosophy
- (Single Author) Asian American
- English
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Book Description
The first book surveying the history and ideas behind reverse mathematics
Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.
Author Bio
John Stillwell was born in Melbourne, Australia, and taught at Monash University from 1970 until 2001, before moving to USF in 2002.
He was an invited speaker at the International Congress of Mathematicians in 1994, and his mathematical writing has been honored with the Chauvenet Prize of the Mathematical Association of America in 2005 and the book award of the Association of Jesuit Colleges and Universities in 2009.
Among his best-known books are Mathematics and Its History (3rd edition, 2010) and Yearning for the Impossible (winner of the AJCU book award in 2009).
His interests are history of mathematics in the 19th and 20th centuries, number theory, geometry, algebra, topology, foundations of mathematics.
In Australia during spring and summer.
Source: University of San Francisco
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