Graduate Studies in Mathematics 2003; 188 pp; hardcover Volume: 55 ISBN10: 0821833073 ISBN13: 9780821833070 List Price: US$45 Member Price: US$36 Order Code: GSM/55
 This fine book by Herb Clemens quickly became a favorite of many algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of "impressions" of a journey through the theory of complex algebraic curves. Many topics of compelling beauty occur along the way. A cursory glance at the subjects visited reveals a wonderfully eclectic selection, from conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear, culminating in the Schottky problem. The author's intent was to motivate further study and to stimulate mathematical activity. The attentive reader will learn much about complex algebraic curves and the tools used to study them. The book can be especially useful to anyone preparing a course on the topic of complex curves or anyone interested in supplementing his/her reading. Readership Graduate students and others looking for inspiration in the theory of complex algebraic curves. Table of Contents  Conics
 Cubics
 Theta functions
 The Jacobian variety
 Quartics and quintics
 The Schottky relation
 References
 Additional references
 Index
