
- 455 pages
- English
- PDF
- Available on iOS & Android
Applied Analysis
About this book
This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor.
The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.
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Information
Table of contents
- Contents
- Preface
- Chapter 1 Metric and Normed Spaces
- Chapter 2 Continuous Functions
- Chapter 3 The Contraction Mapping Theorem
- Chapter 4 Topological Spaces
- Chapter 5 Banach Spaces
- Chapter 6 Hilbert Spaces
- Chapter 7 Fourier Series
- Chapter 8 Bounded Linear Operators on a Hilbert Space
- Chapter 9 The Spectrum of Bounded Linear Operators
- Chapter 10 Linear Differential Operators and Green's Functions
- Chapter 11 Distributions and the Fourier Transform
- Chapter 12 Measure Theory and Function Spaces
- Chapter 13 Differential Calculus and Variational Methods
- Bibliography
- Index
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