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Real Analysis for the Undergraduate

With an Invitation to Functional Analysis

Matthew A. Pons (Autor)

Buch | Hardcover

409 Seiten

2014
Springer-Verlag New York Inc.
978-1-4614-9637-3 (ISBN)

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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.

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

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.

Zusatzinfo	43 Illustrations, black and white; XVIII, 409 p. 43 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Functional Analysis • integrals • Lebesgue Theory • Limits • Real analysis
ISBN-10	1-4614-9637-3 / 1461496373
ISBN-13	978-1-4614-9637-3 / 9781461496373
Zustand	Neuware