A problem book in real analysis

Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate...

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書誌詳細
主要な著者: Aksoy, Asuman Güven, Khamsi, Mohamed Amine, 1959- (著者)
フォーマット: Livre numérique
言語:Anglais
出版事項: New York, NY : Springer New York [20..].
Cham : Springer Nature
版:1st ed. 2010.
シリーズ:Problem Books in Mathematics
オンライン・アクセス:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
注記: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• A Problem Book in Real Analysis, by Asuman G. Aksoy, Mohamed A. Khamsi., New York, NY, Springer Science+Business Media, LLC, Springer e-books, 2010, 1 vol.(X-254 p.), Problem Books in Mathematics, 978-1-441-91295-4
• A Problem Book in Real Analysis, Texte imprimé, 9781441913111
• A Problem Book in Real Analysis, Texte imprimé, 9781493951093
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505 1 |a Elementary Logic and Set Theory Real Numbers Sequences Limits of Functions Continuity Differentiability Integration Series Metric Spaces Fundamentals of Topology Sequences and Series of Functions 
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520 |a Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, the authors hope that learning analysis becomes less taxing and more satisfying. The wide variety of exercises presented in this book range from the computational to the more conceptual and varies in difficulty. They cover the following subjects: set theory; real numbers; sequences; limits of the functions; continuity; differentiability; integration; series; metric spaces; sequences; and series of functions and fundamentals of topology. Furthermore, the authors define the concepts and cite the theorems used at the beginning of each chapter. A Problem Book in Real Analysis is not simply a collection of problems; it will stimulate its readers to independent thinking in discovering analysis. Prerequisites for the reader are a robust understanding of calculus and linear algebra 
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