Foundations of Higher Mathematics Exploration and Proof,9780201125870

Foundations of Higher Mathematics Exploration and Proof

by ;
Edition: 1st
ISBN13: 9780201125870
ISBN10: 0201125870
Format: Paperback
Pub. Date: 1990-01-01
Publisher(s): Pearson
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Summary

Foundations of Higher Mathematics: Exploration and Proof is the ideal text to bridge the crucial gap between the standard calculus sequence and upper division mathematics courses. The book takes a fresh approach to the subject: it asks students to explore mathematical principles on their own and challenges them to think like mathematicians. Two unique featuresan exploration approach to mathematics and an intuitive and integrated presentation of logic based on predicate calculusdistinguish the book from the competition. Both features enable students to own the mathematics they're working on. As a result, your students develop a stronger motivation to tackle upper-level courses and gain a deeper understanding of concepts presented.

Table of Contents

Thinking Mathematically
About Exploration and Proof
Exploration and Proofs about Sets and the Integers
The Language and Logic of Mathematics
Basic Methods of Proof and Exploration
Core Mathematics
Induction and the Integers
Relations and Functions
Further Ideas on Functions and Relations
Topics In Mathematics
Cardinality
Limits and Continuity
Groups
Appendicies
Index
Table of Contents provided by Publisher. All Rights Reserved.

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