Publication date : May 2004
ISBN : 1-931705-02-X
Content : 355+xii pages, 554 exercises, 26 figures
Publisher : The Trillia Group
Terms and Conditions:
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| All uses of this text are subject to the Terms and Conditions contained in this text. As part of these terms, we offer this text free of charge to students using it for self-study, and to lecturers evaluating it as a required or recommended text for a course. All other uses of this text are subject to a charge of $10US for individual use and $300US for use by all individuals at a single site of a college or university. Check our list of site licenses to see whether you are a member of a group that has purchased a site license. |
This book was suggested by Bradley LucierBook excerpts:
This text covers the basic topics of undergraduate real analysis including metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material. The text also contains background material on set theory, the real numbers (including consequences of the completeness axiom), and Euclidean and vector spaces, taken from the author's Basic Concepts of Mathematics.
This text is designed to be used as early as possible in the undergraduate curriculum; indeed, it was used for many years as the text for a two-semester class for second-year mathematics majors at the University of Windsor. If desired, the material can easily be specialized to n-dimensional (or even two-dimensional) Euclidean space.
Intended Audience:
This text is appropriate for any undergraduate course in real analysis or mathematical analysis, or for a preparatory class for beginning graduate students who will later advance to courses in measure theory and functional analysis. Lecturers can use the author's Basic Concepts of Mathematics, which contains expanded versions of Chapters 1 and 2 and Sections 1 through 10 of Chapter 3 of the present text, as supplementary background material for this text.
Reviews:
theassayer.org
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 "Zakon's 'Mathematical Analysis I' will show you how easy somethings can be by presenting the material in a nice, kind and very clear way with examples and everything you could expect to get a solid background on the subject. " |
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