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An Introduction To Analysis

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In this textbook the authors have provided an important classroom tool for teaching undergraduates introductory real analysis. Without sacrificing rigor, they treat all the classical topics and principal theorems (convergence of sequences, limits and continuity of functions, differentiation, integration) in a lucid manner by exploiting the elementary machinery of sequences. This approach, free from the technical abstractions of general topology, makes the book much more readable for the average junior/senior level student majoring or minoring in mathematics. I have used the book for a one-semester course, and I don't think I would revert to the standard topological method for ordinary students in a first course in real analysis. Some of the main results can be re-derived as corollaries in a follow-up course on point-set topology for students interested in attending graduate school.


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An Introduction To Analysis Overviews

Complete coverage without sacrificing learning quality is made possible by the authors of this new introductory text. The fundamental concepts of mathematical analysis and proofs of single variable calculus are presented in a patient and accessible manner that will not overwhelm the average math student. An Introduction to Analysis offers a large variety of examples and exercises that will engage your students in active learning and help them develop an ability to perform analysis.

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Customer Review


Beautiful book! - Marisa - Rural Heartland, USA
I have taught this book at least five times. I use it to teach non-graduate track math majors (many are math-secondary math ed majors). I absolutely love working with this book. Since it is currently out of print I have regularly sought the author's permission for the students to make copies if they can't find it used. I can't wait to see it printed again. It is a joy for me to work the material this way.
It is very thorough math, while all the way allowing for almost taking the students by the hand through their first analysis proofs class. The exercises are a real gem. I spend about 1/3 of the class time working recitation-like on exercises.




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