Name: Index Analysis: Approach Theory at Work (en Inglés)
Price: 1403.09 MXN
Availability: InStock
Author: Lowen, R.
ISBN: 9781447172666

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portada Index Analysis: Approach Theory at Work (en Inglés)

Formato

Libro Físico

Autor

R. Lowen

Editorial

Springer

Idioma

Inglés

N° páginas

466

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.5 cm

Peso

0.68 kg.

ISBN13

9781447172666

Categorías

Ciencia y análisis de datos
Algebra
Cálculo y análisis matemático
Análisis y captura de datos

Index Analysis: Approach Theory at Work (en Inglés)

R. Lowen (Autor) · Springer · Tapa Blanda

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Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Index Analysis: Approach Theory at Work (en Inglés)"

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis.Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories.Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.