Elements of Mathematics: From Euclid to Gödel - Couverture rigide

Stillwell, John

 
9780691171685: Elements of Mathematics: From Euclid to Gödel
Couverture rigide
ISBN 10 : 0691171688 ISBN 13 : 9780691171685
Editeur : Princeton University Press, 2016

Synopsis

An exciting look at the world of elementary mathematics

Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become elementary. Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits.

From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of reverse mathematics confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.

Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

-- "Mathematical Reviews Clippings"

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À propos de l?auteur

John Stillwell is professor of mathematics at the University of San Francisco. He is the author of Reverse Mathematics: Proofs from the Inside Out (Princeton).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2016
Langue
anglais
ISBN 10 
0691171688
ISBN 13 
9780691171685
Reliure
Relié
Nombre de pages
440
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780691178547: Elements of Mathematics: From Euclid to Gödel

Edition présentée

ISBN 10 :  0691178542 ISBN 13 :  9780691178547
Editeur : Princeton University Press, 2017
Couverture souple