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Basic Concepts of Mathematics

Posted: Sun Jun 19, 2005 9:04 am by ndaru

Basic Concepts of Mathematics

Author(s) : Elias Zakon
Publication date : 2001
ISBN : 1-931705-00-3
Content : 198+x pages, 332 exercises, 23 figures
Publisher : The Trillia Group

Terms and Conditions:

Quote:

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 Lucier

Book excerpts:

This book helps the student complete the transition from purely manipulative to rigorous mathematics. The clear exposition covers many topics that are assumed by later courses but are often not covered with any depth or organization: basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers (including consequences of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces.

The many exercises and optional topics (isomorphism of complete ordered fields, construction of the real numbers through Dedekind cuts, introduction to normed linear spaces, etc.) allow the instructor to adapt this book to many environments and levels of students. Extensive hypertextual cross-references and hyperlinked indexes of terms and notation add truly interactive elements to the text.

Reviews:

theassayer.org

Quote:

"Excellent for the novice Math student. ... This book comes highly recommended. It is probably useful as well to those already deep into their analysis study to occasionally 'unconfuse' themselves about some of the basic concepts. "

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