Real Analysis for the Undergraduate

With an Invitation to Functional Analysis

AvMatthew A. Pons

Inbunden, Engelska, 2014

766 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2014-01-25
Mått:155 x 235 x 28 mm
Vikt:776 g
Format:Inbunden
Språk:Engelska
Antal sidor:409
Upplaga:2014
Förlag:Springer-Verlag New York Inc.
ISBN:9781461496373

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Matthew A. Pons is Associate Professor of Mathematics at North Central College.

Recensioner i media

From the book reviews: "This book is more than just an excellent introduction to real analysis at the undergraduate level. It also provides the basis for students to gain some experience in measure theory, Lebesgue integration, and functional analysis. ... Summing Up: Highly recommended. Upper-division undergraduates and above." (D. P. Turner, Choice, Vol. 52 (2), October, 2014) "This book contains a reasonably complete exposition of real analysis theory which is needed for beginning undergraduate-level students. It includes basic material connected with this topic as well as more advanced problems. ... All the topics are presented thoroughly. The book includes nice graphic illustrations of the problems considered." (Ryszard J. Pawlak, Mathematical Reviews, September, 2014)

Innehållsförteckning

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.