
Foundations of Higher Mathematics
Exploration and Proof
Pearson (Publisher)
Published on 1. January 1990
Book
Hardback
480 pages
978-0-201-12587-0 (ISBN)
Description
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 features-an exploration approach to mathematics and an intuitive and integrated presentation of logic based on predicate calculus-distinguish 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.
Two unique features-an exploration approach to mathematics and an intuitive and integrated presentation of logic based on predicate calculus-distinguish 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.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 231 mm
Width: 191 mm
Thickness: 2 mm
Weight
824 gr
ISBN-13
978-0-201-12587-0 (9780201125870)
Schweitzer Classification
Content
1. 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.
2. CORE MATHEMATICS.
Induction and the Integers.
Relations and Functions.
Further Ideas on Functions and Relations.
3. TOPICS IN MATHEMATICS.
Cardinality.
Limits and Continuity.
Groups.
Appendicies.
Index.
About Exploration and Proof.
Exploration and Proofs about Sets and the Integers.
The Language and Logic of Mathematics.
Basic Methods of Proof and Exploration.
2. CORE MATHEMATICS.
Induction and the Integers.
Relations and Functions.
Further Ideas on Functions and Relations.
3. TOPICS IN MATHEMATICS.
Cardinality.
Limits and Continuity.
Groups.
Appendicies.
Index.