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Adventures in mathematics

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Author(s): Martin A. Moskowitz
Publisher: World Scientific
Year: 2003

Language: English

Cover
Title page
Preface
Notation
1 What is a Number?
1.1 The Positive Integers
1.2 The Integers
1.3 The Rational Numbers
1.4 The Real Numbers
1.5 The Integers Revisited
1.6 The Complex Numbers
1.7 Polynomials and Other Analogues of the Integers
1.8 The Algebra on a Dial
2 Groups, Finite Fields and Linear Algebra
2.1 Introduction to Groups and Their Actions
2.2 Applications to Finite Fields and the Theory of Numbers
2.3 Linear Algebra
3 Two and Three Dimensional Geometry and Topology
3.1 The Euclidean Case
3.2 Elliptic and Hyperbolic Geometry
3.3 Some Two- and Three-Dimensional Topology
Index