BASIC CONCEPTS OF MATHEMATICS BY ELIAS ZAKON PDF

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This book helps the student complete the transition from purely manipulative to rigorous mathematics, with topics that cover basic set theory, fields with emphasis on the real numbers , a review of the geometry of three dimensions, and properties of linear 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.

Extensive hypertextual cross-references and hyperlinked indexes of terms and notation add truly interactive elements to the text.

Book Site. Click here to find out. Book Description This book helps the student complete the transition from purely manipulative to rigorous mathematics, with topics that cover basic set theory, fields with emphasis on the real numbers , a review of the geometry of three dimensions, and properties of linear spaces.

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Basic Concepts of Mathematics

Description: 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. Extensive hypertextual cross-references and hyperlinked indexes of terms and notation add truly interactive elements to the text. Donate: The Trillia Group accepts donations from people who are otherwise licensed to use Basic Concepts of Mathematics free of charge. Students who plan to advance to upper-level classes in computer science discrete structures, algorithms, computability, automata theory,

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