Introduction to Modern Analysis

This textbook is a comprehensive introduction to modern analysis, covering measure theory, functional analysis, single operator theory, spectral theory, semigroups of operators, Banach algebras, C*-algebras, von Neumann algebras, probability and mathematical statistics, and partial differential equations. It is designed for advanced undergraduate and graduate-level students of mathematics and professional academics.

Format: Paperback / softback
Length: 592 pages
Publication date: 15 August 2022
Publisher: Oxford University Press

This comprehensive textbook serves as an essential introduction to modern analysis, catering to advanced undergraduate and graduate-level students of mathematics. It also proves to be a valuable resource for professional academics seeking a thorough understanding of the field. Spanning a wide range of topics, the textbook encompasses measure theory, fundamental functional analysis, single operator theory, spectral theory of bounded and unbounded operators, semigroups of operators, and Banach algebras. In addition, this revised edition delves deeper into the realm of C*-algebras, exploring their standard constructions, von Neumann algebras, probability and mathematical statistics, and partial differential equations. Each chapter presents a balanced mix of advanced and simpler concepts, gradually progressing from the foundational principles of modern analysis to more intricate subjects. To enhance the learning experience, the text is accompanied by numerous exercises, enabling readers to test their comprehension and practical analytical skills. Whether you are a student embarking on a journey into the world of mathematics or a seasoned academic seeking to expand your knowledge, this textbook is an indispensable guide.

Weight: 998g
Dimension: 157 x 234 x 44 (mm)
ISBN-13: 9780192849557
Edition number: 2 Revised edition