000			00330nam a2200133Ia 4500
999			_c170316 _d170316
020			_a9788184895261
040			_cCUS
082			_a510.76 _bLOZ/W
100			_aLozansky, Edward
245		0	_aWinning solutions/ _cEdward Lozansky and Cecil Rousseau
260			_aNew York: _bSpringer, _c1996.
300			_ax, 244p. : _bill. ; _c24 cm.
440			_a(Problem books in mathematics)
505			_a1 Numbers -- 1.1 The Natural Numbers -- 1.2 Mathematical Induction -- 1.3 Congruence -- 1.4 Rational and Irrational Numbers -- 1.5 Complex Numbers -- 1.6 Progressions and Sums -- 1.7 Diophantine Equations -- 1.8 Quadratic Reciprocity -- 2 Algebra -- 2.1 Basic Theorems and Techniques -- 2.2 Polynomial Equations -- 2.3 Algebraic Equations and Inequalities -- 2.4 The Classical Inequalities -- 3 Combinatorics -- 3.1 What is Combinatorics? -- 3.2 Basics of Counting -- 3.3 Recurrence Relations -- 3.4 Generating Functions -- 3.5 The Inclusion-Exclusion Principle -- 3.6 The Pigeonhole Principle -- 3.7 Combinatorial Averaging -- 3.8 Some Extremal Problems -- Hints and Answers for Selected Exercises -- General References -- List of Symbols.
650			_aNumber theory
650			_aCombinatorial analysis
650			_aMathematics
700			_aRousseau, Cecil
942			_cWB16