Starting with the simplest ideas of logic, largely in terms of elementary geometry, the treatment covers elementary algebra, functions, analytic geometry, the complex number system, conic sections, polynomials, algebraic functions, and the functions of two variables. Readers who delve deeply into this volume will receive an introduction not just to mathematical methods and problem-solving techniques, but also insights into the nature and beauty of mathematics as a logical structure.
Suitable for a one-year course for advanced high school students or for college undergraduates.