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Reverse Mathematics John Stillwell

Reverse Mathematics By John Stillwell

Reverse Mathematics by John Stillwell


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Reverse Mathematics Summary

Reverse Mathematics: Proofs from the Inside Out by John Stillwell

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.

Reverse Mathematics Reviews

The field has been due for a general treatment accessible to undergraduates and to mathematicians in other areas. . . . With Reverse Mathematics, John Stillwell provides exactly that kind of introduction.-Carl Mummert, Notices of the American Mathematical Society
Stillwell carefully situates the field in the broader context of the history of mathematics and its foundations, and does a fine job of making the whole endeavor accessible to a general mathematical audience.-Jeremy Avigad, Carnegie Mellon University
Filling an important niche, this book gives readers a good picture of the basics of reverse mathematics while suggesting several directions for further reading and study.-Denis Hirschfeldt, University of Chicago
Stillwell's book is self-contained and includes much background material in analysis, mathematical logic, combinatorics, and computability. I heartily commend this very readable and accessible book.-Stephen Simpson, Vanderbilt University

About John Stillwell

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).

Additional information

NGR9780691196411
9780691196411
0691196419
Reverse Mathematics: Proofs from the Inside Out by John Stillwell
New
Paperback
Princeton University Press
2019-09-24
200
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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