Proof patterns. (2015)

• Record Type: Book
• Further Information: Note: Mark Joshi.
• Authors: Joshi, Mark
• Contents: Induction and complete induction -- Double Counting -- The pigeonhole principle -- Divisions -- Contrapositive and contradiction -- Intersection-enclosure and Generation -- Difference of invariants -- Linear dependence, fields and transcendence -- Formal equivalence -- Equivalence extension -- Proof by classification -- Specific-generality -- Diagonal tricks and cardinality -- Connectedness and the Jordan curve theorem -- The Euler characteristic and the classification of regular polyhedra -- Discharging -- The matching problem -- Games -- Analytical patterns -- Counterexamples.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Extent: 1 online resource (xiii, 190 pages), illustrations
• Subjects: 511.3/6; Mathematics; Proof theory; Number theory; Number theory; Proof theory; Mathematics; Physical Sciences & Mathematics; Algebra; Mathematics -- Geometry -- General; Mathematics -- Combinatorics; Mathematics -- Mathematical Analysis; Mathematics -- Topology; Education -- Teaching Methods & Materials -- Mathematics; Geometry; Combinatorics & graph theory; Calculus & mathematical analysis; Topology; Teaching of a specific subject; Geometry; Combinatorics; Global analysis (Mathematics); Topology; Mathematics -- Number Theory; Number theory; Electronic books
• Languages: English
• ISBNs: 9783319162508; 3319162500; 3319162497; 9783319162492
• Related ISBNs: 9783319162492
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 25, 2015).
• 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.