Proofs and Fundamentals A First Course in Abstract Mathematics /

• Κύριος συγγραφέας: Bloch, Ethan D. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Algebra.; Mathematical logic.; Combinatorics.; Mathematical Logic and Foundations.

This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ideas such as sets, functions, relations, and cardinality. The book serves as a bridge between computational courses such as calculus and more theoretical courses suc...

Πίνακας περιεχομένων:

• Preface to the Second Edition
• Preface to the First Edition
• To the Student
• To the Instructor
• Part I. Proofs
• 1. Informal Logic
• 2. Strategies for Proofs
• Part II. Fundamentals
• 3. Sets
• 4. Functions
• 5. Relations
• 6. Finite and Infinite Sets
• Part III. Extras
• 7. Selected Topics
• 8. Explorations
• Appendix: Properties of Numbers
• Bibliography
• Index.