Basic Concepts of Mathematics

Basic Concepts of Mathematics

Helps the student complete the transition from purely manipulative to rigorous mathematics.

Tag(s): Mathematics

Publication date: 31 Dec 2001

ISBN-10: 1931705003

ISBN-13: 9781931705004

Paperback: 198 pages

Views: 43,003

Type: N/A

Publisher: The Trillia Group

License: n/a

Post time: 18 Jun 2005 09:04:52

Basic Concepts of Mathematics

Basic Concepts of Mathematics Helps the student complete the transition from purely manipulative to rigorous mathematics.
Tag(s): Mathematics
Publication date: 31 Dec 2001
ISBN-10: 1931705003
ISBN-13: 9781931705004
Paperback: 198 pages
Views: 43,003
Document Type: N/A
Publisher: The Trillia Group
License: n/a
Post time: 18 Jun 2005 09:04:52
:santagrin: 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
:) "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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Elias Zakon

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