LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515
Title	Real Analysis for the Undergraduate (EB) : With an Invitation to Functional Analysis / by Matthew A. Pons.
Author	Pons, Matthew A.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer, 2014.
Physical Details	XVIII, 409 p. 43 illus. : online resource.
ISBN	9781461496380
Summary Note	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.:
Contents note	The Real Numbers -- Sequences in R -- Numerical Series -- Continuity -- The Derivative -- Sequence and Series of Functions -- The Riemann Integral -- Lebesgue Measure on R -- Lebesgue Integration .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-9638-0
Links to Related Works	Subject References: Analysis . Functional Analysis . Global analysis (Mathematics) . Mathematics . Real Functions . Authors: Pons, Matthew A. . Corporate Authors: SpringerLink (Online service) . Classification: 515 .

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Real Analysis for the Undergraduate: With an Invitation to Functional Analysis

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