Applied Analysis
eBook - PDF

Applied Analysis

  1. 456 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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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Yes, you can access Applied Analysis by John K Hunter, Bruno Nachtergaele;;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Contents
  2. Preface
  3. Chapter 1 Metric and Normed Spaces
  4. Chapter 2 Continuous Functions
  5. Chapter 3 The Contraction Mapping Theorem
  6. Chapter 4 Topological Spaces
  7. Chapter 5 Banach Spaces
  8. Chapter 6 Hilbert Spaces
  9. Chapter 7 Fourier Series
  10. Chapter 8 Bounded Linear Operators on a Hilbert Space
  11. Chapter 9 The Spectrum of Bounded Linear Operators
  12. Chapter 10 Linear Differential Operators and Green's Functions
  13. Chapter 11 Distributions and the Fourier Transform
  14. Chapter 12 Measure Theory and Function Spaces
  15. Chapter 13 Differential Calculus and Variational Methods
  16. Bibliography
  17. Index