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OverviewThis 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. Full Product DetailsAuthor: Matthew A. PonsPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of the original 1st ed. 2014 Dimensions: Width: 15.50cm , Height: 2.20cm , Length: 23.50cm Weight: 6.438kg ISBN: 9781493946495ISBN 10: 1493946498 Pages: 409 Publication Date: 27 August 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsThe Real Numbers.- Sequences in R.- Numerical Series.- Continuity.- The Derivative.- Sequence and Series of Functions.- The Riemann Integral.- Lebesgue Measure on R.- Lebesgue Integration.ReviewsFrom 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) Author InformationMatthew A. Pons is Associate Professor of Mathematics at North Central College. Tab Content 6Author Website:Countries AvailableAll regions |
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