AMS, 2004, 131 p. This book brings the beauty and fun of
mathematics to the classroom. It offers serious mathematics in a
lively, reader-friendly style. Included are exercises and many
figures illustrating the main concepts. The first chapter talks
about the theory of trigonometric and elliptic functions. It
includes subjects such as power series expansions, addition and
multiple-angle formulas, and arithmetic-geometric means. The second
chapter discusses various aspects of the Poncelet Closure Theorem.
This discussion illustrates to the reader the idea of algebraic
geometry as a method of studying geometric properties of figures
using algebra as a tool. This is the second of three volumes
originating from a series of lectures given by the authors at Kyoto
University (Japan). It is suitable for classroom use for high
school mathematics teachers and for undergraduate mathematics
courses in the sciences and liberal arts.
Ueno K., Shiga K., Morita S. A Mathematical Gift, II. The Interplay Between Topology, Functions, Geometry and Algebra
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