A Concise Introduction to Measure Theory

 
 
Springer (Verlag)
  • erschienen am 4. März 2019
 
  • Buch
  • |
  • Softcover
  • |
  • X, 271 Seiten
978-3-030-03240-1 (ISBN)
 
This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.
Book
1st ed. 2018
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für höhere Schule und Studium
  • 16 s/w Abbildungen, 1 farbige Abbildung
  • |
  • 15 schwarz-weiße und 1 farbige Abbildungen, Bibliographie
  • Höhe: 233 mm
  • |
  • Breite: 156 mm
  • |
  • Dicke: 20 mm
  • 445 gr
978-3-030-03240-1 (9783030032401)
10.1007/978-3-030-03241-8
weitere Ausgaben werden ermittelt
Satish Shirali's research interests have been in Banach *-algebras, elliptic boundary value problems, and fuzzy measures. He is the co-author of three books: Introduction to Mathematical Analysis (2014), Multivariable Analysis (2011) and Metric Spaces (2006), the latter two published by Springer.

Preface.- 1. Preliminaries.- 2. Measure Space and Integral.- 3. Properties of the Integral.- 4. Construction of a Measure. 5. The Counting Measure.- 6. Product Measures.- 7. Differentiation.- 8. The Cantor Set and Function.- Solutions.- References.- Index.

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