Publication year: 2007
ISBN: 978-3-540-34514-5
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This book gives a systematic presentation of modern measure theory as it has developed over the past century and offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course (the material of this level corresponds to a variety of special courses), and, finally, more specialized topics partly covered by more than 850 exercises. Bibliographical and historical comments and an extensive bibliography with 2000 works covering more than a century are provided.
Subject: Mathematics and Statistics, Derivative, Lebesgue integral, Measure theory, Transformation, convergence of measures, differential equation, linear optimization, measure, transformation of mesures