Adventures in mathematics / Martin A. Moskowitz ; with the assistance of Hossein Abbaspour.

Format:

Book

Author/Creator:

Moskowitz, Martin A.

Language:

English

Subjects (All):

Mathematics.

Number theory.

Physical Description:

1 online resource (ix, 108 p. ) ill.

Edition:

1st ed.

Place of Publication:

River Edge, N.J. : World Scientific, c2003.

Language Note:

English

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.

Contents:

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.

Notes:

Includes index.

Includes bibliographical references and index.

ISBN:

9786611935429

9781281935427

1281935425

9789812794949

9812794948

OCLC:

815752477