A Concise Introduction to Measure Theory
Autor Satish Shiralien Limba Engleză Paperback – 15 mar 2019
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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Specificații
ISBN-13: 9783030032401
ISBN-10: 303003240X
Pagini: 262
Ilustrații: X, 271 p. 17 illus., 1 illus. in color.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.4 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 303003240X
Pagini: 262
Ilustrații: X, 271 p. 17 illus., 1 illus. in color.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.4 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
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.
Notă biografică
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.
Textul de pe ultima copertă
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.
Caracteristici
Provides a self-contained introduction to abstract measure theory and integration Includes full solutions to the exercises Discusses fuzzy measures and unconditional sums