Introduction to mathematical proofs : a transition /: a transition. (2015)

• Record Type: Book
• Further Information: Note: Charles Roberts.
• Authors: Roberts, Charles E, 1942-
• Contents: Logic; Statements, Negation, and Compound Statements; Truth Tables and Logical Equivalences; Conditional and Biconditional Statements; Logical Arguments; Open Statements and Quantifiers; Chapter Review; ; Deductive Mathematical Systems and Proofs; Deductive Mathematical Systems; Mathematical Proofs; Chapter Review; ; Set Theory; Sets and Subsets; Set Operations; Additional Set Operations; Generalized Set Union and Intersection; Chapter Review; ; Relations; Relations; The Order Relations <, , >; Reflexive, Symmetric, Transitive, and Equivalence Relations; Equivalence Relations, Equivalence Classes, and Partitions; Chapter Review; ; Functions; Functions; Onto Functions, One-to-One Functions and One-to-One Correspondences; Inverse of a Function; Images and Inverse Images of Sets; Chapter Review; ; Mathematical Induction; Mathematical Induction; The Well-Ordering Principle and the Fundamental Theorem of Arithmetic; ; Cardinalities of Sets; Finite Sets; Denumerable and Countable Sets; Uncountable Sets; ; Proofs from Real Analysis; Sequences; Limit Theorems for Sequences; Monotone Sequences and Subsequences; Cauchy Sequences; ; Proofs from Group Theory; Binary Operations and Algebraic Structures; Groups; Subgroups and Cyclic Groups; ; Appendix Reading and Writing Mathematical Proofs; ; Answers to Selected Exercises; ; References; ; Index
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations
• Subjects: 511.36; Proof theory
• Languages: English
• ISBNs: 9781482246902
• Related ISBNs: 9781482246889; 9781482246896
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• 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.