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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 231 mm
Breite: 191 mm
Dicke: 2 mm
Gewicht
ISBN-13
978-0-201-12587-0 (9780201125870)
Schweitzer Klassifikation
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.
