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Introduction to Modern Analysis

Introduction to Modern Analysis

Paperback

AlgebraGeneral MathematicsProbability & Statistics

ISBN10: 0192849557
ISBN13: 9780192849557
Publisher: Oxford University Press
Published: Nov 15 2022
Pages: 592
Weight: 2.28
Height: 1.09 Width: 6.20 Depth: 9.32
Language: English
This textbook provides an introduction to modern analysis aimed at advanced undergraduate and graduate-level students of mathematics. Professional academics will also find this to be a useful reference work. It covers measure theory, basic functional analysis, single operator theory, spectral theory of bounded and unbounded operators, semigroups of operators, and Banach algebras. Further, this new edition of the textbook also delves deeper into C*-algebras and their standard constructions, von Neumann algebras, probability and mathematical statistics, and partial differential equations.

Most chapters contain relatively advanced topics alongside simpler ones, starting from the very basics of modern analysis and slowly advancing to more involved topics. The text is supplemented by many exercises, to allow readers to test their understanding and practical analysis skills.

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Kantorovitz, Shmuel

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Probability & Statistics