£65.47

American Mathematical Society Spaces: An Introduction to Real Analysis (Pure and Applied Undergraduate Texts)

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£78.50 £37.56 £46.49 £55.42 £64.36 £73.29 £82.22 01 July 2024 20 November 2024 12 April 2025 01 September 2025 22 January 2026

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16 days 136 days 285 days · current 134 days 0 71 143 214 285 £41-49 £56-64 £64-71 £71-79 Days at Price

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Description

Spaces is a modern introduction to real analysis at the advanced undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra. Two introductory chapters will help students with the transition from computation-based calculus to theory-based analysis. The main topics covered are metric spaces, spaces of continuous functions, normed spaces, differentiation in normed spaces, measure and integration theory, and Fourier series. Although some of the topics are more advanced than what is usually found in books of this level, care is taken to present the material in a way that is suitable for the intended audience: concepts are carefully introduced and motivated, and proofs are presented in full detail. Applications to differential equations and Fourier analysis are used to illustrate the power of the theory, and exercises of all levels from routine to real challenges help students develop their skills and understanding. The text has been tested in classes at the University of Oslo over a number of years.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 December 2017
Listed Since
25 October 2017

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