A Problem Book in Real Analysis [recurso electrónico] / by Asuman G. Aksoy, Mohamed A. Khamsi.
Tipo de material: TextoSeries Problem Books in MathematicsEditor: New York, NY : Springer New York, 2010Descripción: X, 254 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441912961Tema(s): Mathematics | Global analysis (Mathematics) | Mathematics | AnalysisFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515 Clasificación LoC:QA299.6-433Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA299.6 -433 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 371304-2001 |
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QA299.6 -433 Green's Functions and Infinite Products | QA299.6 -433 Discovering Mathematics | QA299.6 -433 Semilinear Elliptic Equations for Beginners | QA299.6 -433 A Problem Book in Real Analysis | QA299.6 -433 Around the Research of Vladimir Maz'ya I | QA299.6 -433 Around the Research of Vladimir Maz'ya II | QA299.6 -433 Around the Research of Vladimir Maz'ya III |
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.
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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