Nonstandard Analysis - Couverture rigide

Robert, Alain

Couverture rigide

ISBN 10 : 0471917036 ISBN 13 : 9780471917038

Editeur : John Wiley & Sons Ltd, 1988

Synopsis

Nonstandard analysis represents a fundamental change of perspective in mathematics (and sciences), comparable to the introduction of Cantor's set theory in the nineteenth century. This book is a short, readable introduction to the subject, based on the axiomatic or IST approach. The first part gives a clear, rigorous exposition of the theory; the second part consists of a number of self-contained chapters dealing with applications. As an aid to self-study, the author has included exercises at the end of each chapter, with hints as well as full solutions. This book will be invaluable for students, teachers and researchers wishing to learn about nonstandard analysis, either for its applications to other branches of mathematics and science, or for its own sake.

A propos du livre

Présentation de l'éditeur

This concise text is based on the axiomatic internal set theory approach. Theoretical topics include idealization, standardization, and transfer, real numbers and numerical functions, continuity, differentiability, and integration. Applications cover invariant means, approximation of functions, differential equations, more. Exercises, hints, and solutions. ""Mathematics teaching at its best."" European Journal of Physics. 1988 edition.

Détails de l'édition

• Éditeur: John Wiley & Sons Ltd
• Date d'édition: 1988
• Langue: anglais
• ISBN 10: 0471917036
• ISBN 13: 9780471917038
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 180
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible