Description |
1 online resource (ix, 108 pages) : illustrations |
Bibliography |
Includes bibliographical references and index. |
Contents |
Cover -- Contents -- 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. |
Summary |
Though elementary in nature, this book deals with fundamental issues in mathematics -- number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter. |
Note |
Print version record. |
Subject |
Mathematics.
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Number theory.
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MATHEMATICS -- Number Theory.
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Mathematics. (OCoLC)fst01012163
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Number theory. (OCoLC)fst01041214
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Wiskunde.
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Genre/Form |
Electronic books.
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Other Form: |
Print version: Moskowitz, Martin A. Adventures in mathematics. River Edge, N.J. : World Scientific, ©2003 9812386831 9789812386830 (DLC) 2006283995 (OCoLC)54767269 |
ISBN |
9789812794949 (electronic bk.) |
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9812794948 (electronic bk.) |
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