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Winning solutions/ Edward Lozansky and Cecil Rousseau

By: Lozansky, EdwardContributor(s): Rousseau, CecilMaterial type: Text

TextSeries: (Problem books in mathematics)Publication details: New York: Springer, 1996Description: x, 244p. : ill. ; 24 cmISBN: 9788184895261Subject(s): Number theory | Combinatorial analysis | MathematicsDDC classification: 510.76

Contents:

1 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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	510.76 LOZ/W (Browse shelf(Opens below))	Available		P25293

Total holds: 0

1 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.

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