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Titlebook: Real Analysis for the Undergraduate; With an Invitation t Matthew A. Pons Textbook 2014 Springer Science+Business Media New York 2014 Funct

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书目名称Real Analysis for the Undergraduate
副标题With an Invitation t
编辑Matthew A. Pons
视频video
概述Engaging style makes complex concepts accessible to a broad audience.Examples and illustrations accompany formal proofs.Over 450 exercises help readers develop connections between the concrete and abs
图书封面Titlebook: Real Analysis for the Undergraduate; With an Invitation t Matthew A. Pons Textbook 2014 Springer Science+Business Media New York 2014 Funct
描述This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.
出版日期Textbook 2014
关键词Functional Analysis; Integrals; Lebesgue Theory; Limits; Real Analysis
版次1
doihttps://doi.org/10.1007/978-1-4614-9638-0
isbn_softcover978-1-4939-4649-5
isbn_ebook978-1-4614-9638-0
copyrightSpringer Science+Business Media New York 2014
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The Riemann Integral,al section in this chapter will investigate the dysfunctional relationship between the limit process (with regard to a sequence of functions) and the Riemann integral propelling us toward the more sturdy Lebesgue integral.
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The Derivative, concept of differentiation was covered in a more rigorous fashion. This is due to the fact that most of the interesting properties and consequences of the derivative are easy to prove though this does not detract from their importance. The reason for this can be attributed to the fact that the deri
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