Description 
xv, 463 p. : ill. ; 27 cm. 
Bibliography 
Includes bibliographical references (p. 457459) and index. 
Contents 
Arithmetic and combinatorics  Equations  Envelopes and singularities  Developable surfaces  Straight lines  Polyhedra  Two surprising topological constructions  On ellipses and ellipsoids. 
Summary 
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.  Back cover. 
Subject 
Mathematics.

Related Names 
Tabachnikov, Serge.

ISBN 
0821843168 (alk. paper) 

9780821843161 (alk. paper) 
OCLC number 
137306067 
