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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Aksoy, Asuman G. (Autor), Khamsi, Mohamed A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Problem Books in Mathematics,
Temas:
Functions of real variables.
Mathematical analysis.
Real Functions.
Analysis.
Acceso en línea:Texto Completo

MARC

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245 1 2 |a A Problem Book in Real Analysis  |h [electronic resource] /  |c by Asuman G. Aksoy, Mohamed A. Khamsi. 
250 |a 1st ed. 2010. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2010. 
300 |a X, 254 p.  |b online resource. 
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490 1 |a Problem Books in Mathematics,  |x 2197-8506 
505 0 |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. 
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. 
650 0 |a Functions of real variables. 
650 0 |a Mathematical analysis. 
650 1 4 |a Real Functions. 
650 2 4 |a Analysis. 
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830 0 |a Problem Books in Mathematics,  |x 2197-8506 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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