Advanced Integration Theory: Mathematics & Applications 454 - Image 1

£129.98

Springer Advanced Integration Theory: Mathematics & Applications 454

Name: Advanced Integration Theory: Mathematics & Applications 454
Brand: Springer
Price: 129.98 GBP
Availability: InStock

Algebra

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Description

Advanced Integration Theory explores the mathematical foundations that have shaped integration since 1915, bridging two essential approaches: the abstract theory relied upon by probabilists and the topological theory favoured by analysts. This comprehensive work addresses the historical split between these branches, demonstrating how results align for reasonably well-behaved topological spaces with countable basis, whilst revealing how topological theory delivers stronger outcomes for more complex spaces. Published by Springer as part of the Mathematics and Its Applications series, this volume investigates the theoretical framework that unifies these perspectives and resolves longstanding questions in integration mathematics. Ideal for advanced students and researchers seeking deeper understanding of how abstract mathematical principles interact with topological structures, this text provides rigorous treatment of integration theory's evolution and contemporary applications across pure and applied mathematics.

Key Features

Springer's Mathematics and Its Applications series volume 454 provides authoritative coverage of integration theory development since 1915.

Explores both abstract integration theory essential for probabilists and topological integration theory preferred by mathematical analysts.

Demonstrates how abstract and topological approaches yield identical results for locally compact spaces with countable basis.

Reveals how topological theory produces stronger, more refined results than abstract theory for complex topological spaces.

Addresses the historical theoretical split and resolves foundational questions about integration across mathematics disciplines.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 0792352343
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 31 October 1998
Listed Since: 15 December 2006

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Springer Advanced Integration Theory: Mathematics & Applications 454

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