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Introduction to Real Analysis / Stoll Manfred

Public ISBD Titre : Introduction to Real Analysis Type de document : texte imprimé Auteurs : Stoll Manfred, Auteur Mention d'édition : Third ed. Editeur : CRC Press Année de publication : 2021 Importance : 582 p Présentation : shema Format : 21 cm. ISBN/ISSN/EAN : 978-0-367-68393-1 Langues : Anglais (eng) Tags : Introduction  Real  Analysis Index. décimale : 515 Résumé : This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student, w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics. Introduction to Real Analysis [texte imprimé] / Stoll Manfred, Auteur  . -  Third ed. . - CRC Press, 2021 . - 582 p : shema ; 21 cm. ISBN : 978-0-367-68393-1 Langues : Anglais (eng) Tags : Introduction  Real  Analysis Index. décimale : 515 Résumé : This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student, w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics.

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
BST01311	515-35/01	LIVRE	Bibliothèque ST	515 : ANALYSE	Disponible
BST01312	515-35/02	LIVRE	Bibliothèque ST	515 : ANALYSE	Disponible
BST01313	515-35/03	LIVRE	Bibliothèque ST	515 : ANALYSE	Disponible

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