Logic, mathematics, and computer science : modern foundations with practical applications /: modern foundations with practical applications. (2015)

• Record Type: Book
• Further Information: Note: Yves Nievergelt.
• Authors: Nievergelt, Yves
• Other Names: Nievergelt, Yves
• Contents: Preface -- 1. Propositional logic : proofs from axioms and inference rules -- 2. First order logic : proofs with quantifiers -- 3. Set theory : proofs by detachment, contraposition, and contradiction -- 4. Mathematical induction : definitions and proofs by induction -- 5. Well-formed sets : proofs by transfinite induction with already well-ordered sets -- 6. The axiom of choice : proofs by transfinite induction -- 7. applications : Nobel-Prize winning applications of sets, functions, and relations -- 8. Solutions to some odd-numbered exercises.
• Edition: Second edition
• Publisher Details: New York : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (391 pages)
• Subjects: 511.3; Mathematics; Logic, Symbolic and mathematical; Set theory; Number theory; Computer science -- Mathematics; Computer science; Mathematics -- Logic; Mathematics -- Number Theory; Mathematical theory of computation; Number theory; Mathematical foundations
• Languages: English
• ISBNs: 9781493932238
• Related ISBNs: 9781493932221
• 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.