Includes bibliographical references (p. 311-315) and index.
Contents:
Arithmetic
Geometry
Coordinates
Rational points
Trigonometry
Finite arithmetic
Complex numbers
Conic sections
Elementary functions.
Summary:
Numbers and Geometry is a beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis, and geometry - meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions.