This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.
| ISBN: | 9780821890837 |
| Publication date: | 30th October 2012 |
| Author: | John B Conway |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 367 pages |
| Series: | Graduate Studies in Mathematics |
| Genres: |
Algebraic geometry Calculus and mathematical analysis |
This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.
A Course in Abstract Analysis features in the following genres: Algebraic geometry, Calculus and mathematical analysis
A Course in Abstract Analysis is available in Hardback
A Course in Abstract Analysis was written by John B Conway and published by American Mathematical Society
A Course in Abstract Analysis has 367 pages
Yes it is part of Graduate Studies in Mathematics series
£104.40