Foundations of Abstract Analysis - Tapa dura

Dshalalow, Jewgeni H.

 
9781461459613: Foundations of Abstract Analysis
Tapa dura
ISBN 10: 1461459613 ISBN 13: 9781461459613
Editorial: Springer, 2012

Sinopsis

Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study.

While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience.

To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration.

Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Jewgeni H. Dshalalow is a professor at the Florida Institute of Technology, in Melbourne, Florida, USA.

De la contraportada

<p><i>Foundations of Abstract Analysis</i> is the first of a two book series offered as the second (expanded) edition to the previously published text <i>Real Analysis</i>. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study.</p><p> </p><p>While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. </p><p> </p><p>To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration.</p><p>Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability.</p>

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461459613
ISBN 13 
9781461459613
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
764
Contacto del fabricante
no disponible
Persona responsable
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