Introductory Concepts for Abstract Mathematics. (2000)

• Record Type: Book
• Further Information: Note: Kenneth E. Hummel.
• Authors: Hummel, Kenneth E
• Contents: Cover; Half Title; Title Page; Copyright Page; Table of Contents; PREFACE; SECTION I: LOGIC AND PROOF; Chapter 1: Logic and Propositional Calculus; Chapter 2: Tautologies and Validity Chapter; Chapter 3: Quantifiers and Predicates Chapter; Chapter 4: Techniques of Derivation and Rules of Inference; Chapter 5: Informal Proof and Theorem-Proving Techniques; Chapter 6: On Theorem Proving and Writing Proofs; Chapter 7: Mathematical Induction; SECTION II: SETS; Chapter 8: Sets and Set Operations; Chapter 9: Set Union, Intersection, and Complement; Chapter 10: Generalized Union and Intersection SECTION III: FUNCTIONS AND RELATIONSChapter 11: Cartesian Products; Chapter 12: Relations; Chapter 13: Partitions; Chapter 14: Functions; Chapter 15: Composition of Functions; Chapter 16: Image and Preimage Functions; SECTION IV: ALGEBRAIC AND ORDER PROPERTIES OF NUMBER SYSTEMS; Chapter 17: Binary Operations; Chapter 18: The Systems of Whole and Natural Numbers; Chapter 19: The System Z of Integers; Chapter 20: The System Q of Rational Numbers; Chapter 21: Other Aspects of Order; Chapter 22: The Real Number System; SECTION V: TRANSFINITE CARDINAL NUMBERS; Chapter 23: Finite and Infinite Sets Chapter 24: Denumerable and Countable SetsChapter 25: Uncountable Sets; Chapter 26: Transfinite Cardinal Numbers; SECTION VI: AXIOM OF CHOICE AND ORDINAL NUMBERS; Chapter 27: Partially Ordered Sets; Chapter 28: Least Upper Bound and Greatest Lower Bound; Chapter 29: Axiom of Choice; Chapter 30: Well Ordered Sets; READING LIST; HINTS AND SOLUTIONS TO SELECTED EXERCISES; INDEX
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2000
• Extent: 1 online resource
• Subjects: 510; Mathematics; Statistics; Set theory; Mathematics; Set theory; Statistics; Electronic books
• Languages: English
• ISBNs: 9781482285642; 1482285649
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.