A Course in Modern Analysis and its Applications
eBook - PDF

A Course in Modern Analysis and its Applications

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

A Course in Modern Analysis and its Applications

About this book

Designed for one-semester courses at the senior undergraduate level, this 2003 book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like. Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

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Yes, you can access A Course in Modern Analysis and its Applications by Graeme L. Cohen in PDF and/or ePUB format, as well as other popular books in Matematica & Analisi matematica. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Series-title
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. 1 Prelude to Modern Analysis
  9. 2 Metric Spaces
  10. 3 The Fixed Point Theorem and its Applications
  11. 4 Compactness
  12. 5 Topological Spaces
  13. 6 Normed Vector Spaces
  14. 7 Mappings on Normed Spaces
  15. 8 Inner Product Spaces
  16. 9 Hilbert Space
  17. Bibliography
  18. Selected Solutions
  19. Index