000			a
999			_c32681 _d32681
008			240214b xxu||||| |||| 00| 0 eng d
020			_a9783319162492
082			_a511.3 _bJOS
100			_aJoshi, Mark
245			_aProof patterns
260			_bSpringer, _c2015 _aCham :
300			_axiii,190 p. ; _bill., _c24 cm
365			_b49.99 _c€ _d94.80
504			_aIncludes bibliographical references and index.
520			_aThis innovative textbook presents a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that allow them to learn new proofs in different areas of pure mathematics with ease. Patterns are explored in tests from various fields such as algebra, analysis, topology, and number theory. Specific topics examined include game theory, combinatorics, and Euclidean geometry, allowing for broad familiarity. The author, an experienced lecturer and researcher recognized for his innovative vision and intuitive style, illuminates a wide range of techniques and examples, from cube doubling to polygon triangulation, the infinity of prime numbers, and the fundamental theorem of algebra. Designed as a supplement for undergraduate students, this text is an essential addition to every aspiring mathematician's toolkit
650			_aCalculus & mathematical analysis
650			_aComplete induction
650			_aContinuous function
650			_aCountable sets
650			_aEquivalence relation
650			_aEuler characteristic
650			_aHighest common factor
650			_aLeast upper bound
650			_aCombinatorics & graph theory
650			_aGeometry
650			_aMathematics combinatorics
650			_aNumber theory
650			_aTopology
942			_2ddc _cBK