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Springer Nonstandard Analysis in Practice - Springer Universitext

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Description

Nonstandard Analysis in Practice is a comprehensive guide designed for graduate mathematicians and researchers seeking to master the practical applications of nonstandard analysis and infinitesimal theory. This Springer Universitext volume opens with a foundational tutorial on modern infinitesimal methods before progressing through nine concrete applications spanning complex analysis, stochastic differential equations, differential geometry, topology, probability theory, integration techniques, and asymptotic analysis. The book bridges theoretical understanding and real-world problem-solving by demonstrating how nonstandard methods can provide elegant solutions to challenging mathematical problems. Ideal for those looking to expand their analytical toolkit, the text also includes valuable insights on integrating infinitesimal reasoning into mathematics education, making it equally valuable for instructors and students.

Key Features

Springer Universitext publication provides graduate-level mathematics content with academic rigor and comprehensive coverage of nonstandard analysis.

Tutorial introduction to infinitesimal theory equips readers with the foundational concepts needed to understand and apply nonstandard analysis effectively.

Nine detailed applications demonstrate nonstandard analysis in complex analysis, stochastic differential equations, differential geometry, topology, probability, integration, and asymptotics.

Practical examples throughout the text show how infinitesimal methods solve real mathematical problems more elegantly than conventional approaches.

Teaching guidance and remarks on infinitesimals help instructors and educators incorporate nonstandard analysis into graduate mathematics curricula.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
14 December 1995
Listed Since
22 December 2006

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