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Reverse Mathematics
Proofs from the Inside Out
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Reverse Mathematics
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See moreThis volume presents reverse mathematics to a general mathematical audience for the first time. Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic. to logic.
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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 providing 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.
Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?
John Stillwell has crafted an accessible introduction to the field, making Reverse Mathematics approachable for undergraduates and mathematicians in other areas. The book effectively situates the field within the larger historical context of mathematics, providing essential background in diverse areas such as analysis and computability. It offers a clear picture of the fundamentals while suggesting paths for further exploration, and is noted for its readability and comprehensive treatment.
Book Details
INFORMATION
ISBN: 9780691196411
Publisher: Princeton University Press
Format: Paperback / softback
Date Published: 24 September 2019
Country: United States
Imprint: Princeton University Press
Illustration: 35 b/w illus.
Audience: Tertiary education, Professional and scholarly
DIMENSIONS
Width: 156.0mm
Height: 235.0mm
Weight: 250g
Pages: 200
About the Author
John Stillwell is professor of mathematics at the University of San Francisco and an affiliate of the School of Mathematical Sciences at Monash University, Australia. His many books include Mathematics and Its History and Elements of Mathematics (Princeton).
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This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have...HardbackSold Out -
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