Titlebook: Nonstandard Analysis for the Working Mathematician; Peter A. Loeb,Manfred P. H. Wolff Book 2015Latest edition Springer Science+Business Me

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https://doi.org/10.1007/978-94-017-7327-0Banach Spaces; Combinatorial Number Theory; Compactifications; Linear Operators; Loeb Probability Theory

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Simple Nonstandard Analysis and Applicationsociated with a very simple system of logic. The simplicity of the system of logic helps to illuminate the way logic is used to obtain mathematical results. It also simplifies the proof of the “transfer principle”, which is the basic Property of nonstandard number systems. The skills the reader needs

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An Introduction to General Nonstandard Analysison with a brief summary for readers who want to postpone the technical details until a later reading. The summary will note any important definitions and results of the section that the reader should know before going on.

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Topology and Measure Theoryoductory material, we will present a few more recent applications of nonstandard analysis to topology. The chapter concludes with a quick introduction to the applications of nonstandard analysis in measure and probability theory.

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Banach Spaces and Linear Operatorsnsider the structure theory of Banach spaces, basic operator theory, strongly continuous semigroups of operators, approximation theory of operators and their spectra, and the Fixed Point Property. To include in this chapter interesting examples of nonstandard functional analysis we must assume that

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Nonstandard Analysis in Mathematical Economicsresent some special measure-theoretic properties based on nonstandard constructions and then to illustrate how these properties can be applied to problems in game theory, general equilibrium theory and finance.

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Density Problems and Freiman’s Inverse Problems reader is assumed to be familiar with some basic knowledge and principles in nonstandard analysis such as nonstandard extensions of the standard universe, transfer principle, standard part map, distinctions among standard, internal, and external sets and arguments, hyperfinite sets, hyperfinite int

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Peter A. Loebn of craft, which is often understood as inferior to ‘art’, with a particular focus on questions of labour in animation production and gendered practices. The notion of craft has been widely investigated in a number of areas including art, design and textiles, but despite the fact that a wide range

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Peter A. Loebal argument around how “craft” is perceived as inferior to “.This collection is a study of the value of craft as it can be understood within the study and practice of animation. The book reconsiders the position of craft, which is often understood as inferior to ‘art’, with a particular focus on que

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