A Concise Introduction to Measure Theory (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
271
Utgivningsdatum
2019-03-15
Upplaga
1st ed. 2018
Förlag
Springer Nature Switzerland AG
Illustratör/Fotograf
Bibliographie 15 schwarz-weiße und 1 farbige Abbildungen
Illustrationer
1 Illustrations, color; 16 Illustrations, black and white; X, 271 p. 17 illus., 1 illus. in color.
Dimensioner
234 x 156 x 15 mm
Vikt
400 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783030032401

A Concise Introduction to Measure Theory

av Satish Shirali
Häftad,  Engelska, 2019-03-15
760
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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.
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Övrig information

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.

Innehållsförteckning

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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