Probabilistic Metric Spaces (Dover Books on Mathematics)
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Probabilistic Metric Spaces (Dover Books on Mathematics)
Book Details
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Author: B. Schweizer
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Brand: Dover
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Binding: Paperback
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Format: Import
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Number of Pages: 352
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Release Date: 02-11-2011
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EAN: 9780486445144
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Languages: English
About The Book
In "Probabilistic Metric Spaces," B. Schweizer offers a distinct and nonclassical approach to the study of metric spaces, with a focus on the theory of probabilistic metric spaces. Unlike traditional treatments that center around random variables, this book works directly with probability distribution functions.
The book is divided into two parts:
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Part 1: Provides an overview of the historical evolution of the theory, followed by a development of the necessary mathematical machinery. It defines essential concepts and states all relevant results, supported by proofs.
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Part 2: Introduces probabilistic metric spaces, beginning with their definitions. It then explores special classes of these spaces, topologies, and structures such as probabilistic normed and inner-product spaces.
The author specifically emphasizes aspects that differentiate probabilistic metric spaces from classical metric space theory, focusing on their unique properties rather than transferring traditional metric space results to a broader context.
This book is ideal for researchers and students interested in the advanced topics of probability theory, metric spaces, and mathematical structures, providing a fresh perspective on these concepts.
