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Real mathematical analysis / Charles Chapman Pugh

Public ISBD Titre : Real mathematical analysis Type de document : texte imprimé Auteurs : Charles Chapman Pugh, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Undegraduate texts in mathematics Importance : XI-437 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-387-95297-0 Note générale : With 133 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Analyse  mathématique Analyse  mathématique  --  Problèmes  et  exercices Index. décimale : 517 Analyse mathématique Résumé : In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises. Note de contenu : - Real Numbers - A Taste of Topology - Functions of a Real Variable - Function Spaces - Multivariable Calculus - Lebesgue Theory Real mathematical analysis [texte imprimé] / Charles Chapman Pugh, Auteur . - Springer-Verlag, 2002 . - XI-437 p. : ill. ; 24 cm. - (Undegraduate texts in mathematics) . ISBN : 978-0-387-95297-0 With 133 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Analyse  mathématique Analyse  mathématique  --  Problèmes  et  exercices Index. décimale : 517 Analyse mathématique Résumé : In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises. Note de contenu : - Real Numbers - A Taste of Topology - Functions of a Real Variable - Function Spaces - Multivariable Calculus - Lebesgue Theory

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