Real Analysis: Foundations and Functions of One Variable - Couverture souple

Livre 139 sur 163: Undergraduate Texts in Mathematics

Laczkovich, Miklós; Sós, Vera T.

 
9781493942220: Real Analysis: Foundations and Functions of One Variable
Couverture souple
ISBN 10 : 1493942220 ISBN 13 : 9781493942220
Editeur : Springer, 2016

Synopsis

Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated.

In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.

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À propos de l?auteur

Miklós Laczkovich is Professor of Mathematics at Eötvös Loránd University and the University College London, and was awarded the Ostrowski Prize in 1993 and the Széchenyi Prize in 1998. Vera T. Sós is a Research Fellow at the Alfréd Rényi Institute of Mathematics, and was awarded the Széchenyi Prize in 1997.

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

Éditeur
Springer
Date d'édition
2016
Langue
anglais
ISBN 10 
1493942220
ISBN 13 
9781493942220
Reliure
Broché
Nombre de pages
500
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9781493927654: Real Analysis: Foundations and Functions of One Variable

Edition présentée

ISBN 10 :  1493927655 ISBN 13 :  9781493927654
Editeur : Springer-Verlag New York Inc., 2015
Couverture rigide