Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher) - Image 1

£85.45

Birkhauser Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher)

Name: Integration and Modern Analysis (Birkhauser Advanced Texts Basler Lehrbucher)
Brand: Birkhauser
Price: 85.45 GBP
Availability: InStock

Mathematical Analysis

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Description

This book is both a text and a paean to twentieth-century real variables, measure theory, and integration theory. As a text, the book is aimed at graduate students. As an exposition, extolling this area of analysis, the book is necessarily limited in scope and perhaps unnecessarily unlimited in id- syncrasy. More than half of this book is a fundamental graduate real variables course as we now teach it. Since there are excellent textbooks that generally cover the course material herein, part of this Preface renders an apologia for our content, presentation, and existence. The following section presents our syllabus properly liberated from too many demands. Subsequent sections dealwithoutline,theme,features,andtherolesofFourieranalysisandVitali, respectively. Mathematics is a creativeadventure drivenby beauty, structure, intrinsic mathematicalproblems,extrinsicproblemsfromengineeringandthesciences, and serendipity. This book treats integration theory and its fascinating creation through the past century. What about the rest of our title? “Analysis”is many subjects to many mathematicians.“Modern analysis” is hardly a constraint for a single volume such as ours; one can argue the opposite. Di?erentiation and integrationare still the essence of analysis,and, along with “integration”, the title could very well have included the word “di?erentiation” because of our emphasis on it. Guided by the creativity of mathematics,ourtitleismeanttoassertthatthetechnologywehaverecorded is a basis for many of the analytic adventures of our time. Syllabus We shall outline the material we have used in teaching a ?rst-year graduate course in real analysis. Sometimes a student will take only the ?rst semester of this two-semester sequence.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 0817643060
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 16 October 2009
Listed Since: 13 February 2007

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Birkhauser Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher)

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