Introduces theories of measure and integration as important aspects of functional analysis, probability theory, theory of fractals, and other branches of pure and applied mathematics. The Daniell method is used to construct the integral with respect to a null-continuous positive linear functional, and the theory of vector lattices is used as the main tool for development of the theory. Includes exercises. For second- and third-year undergraduate students in integration theory, measure, and integral and real analysis. Assumes a beginner's knowledge of fundamental analysis and basics of topology. Annotation c. by Book News, Inc., Portland, Or.
This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.
Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.
Biežāk uzdotie jautājumi par e-grāmatām