Reverse Mathematics: Proofs from the Inside Out - Tapa blanda

Stillwell, John

 
9780691196411: Reverse Mathematics: Proofs from the Inside Out
Tapa blanda
ISBN 10: 0691196419 ISBN 13: 9780691196411
Editorial: Princeton University Press, 2019

Sinopsis

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.

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Acerca del autor

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).

De la contraportada

"Reverse mathematics is the mathematical logician's version of zoology or botany, a classification of mathematical theorems in terms of the strength of the axioms needed to prove them. 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. It provides a context for the questions investigated by reverse mathematics and makes an extended argument for their significance within contemporary mathematical practice."--Denis Hirschfeldt, University of Chicago

"Reverse mathematics is a major research direction in the foundations of mathematics and mathematical logic, and the insights obtained from reverse mathematics will interest a wide mathematically minded audience. 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

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Editorial
Princeton University Press
Año de publicación
2019
Idioma
Inglés
ISBN 10 
0691196419
ISBN 13 
9780691196411
Encuadernación
Tapa blanda
Número de páginas
200
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780691177175: Reverse Mathematics: Proofs from the Inside Out

Edición Destacada

ISBN 10:  0691177171 ISBN 13:  9780691177175
Editorial: Princeton University Press, 2018
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