BKMBRNOP.RVW 20000407 "My Brain is Open", Bruce Schechter, 1998, 0-684-85980-7, U$13.00/C$19.00 %A Bruce Schechter %C 1230 Avenue of the Americas, New York, NY 10020 %D 1998 %G 0-684-85980-7 %I Simon & Schuster/Touchstone %O U$13.00/C$19.00 +1-212-698-7541 www.simonsays.com %P 224 p. %T "My Brain is Open: The Mathematical Journeys of Paul Erdos" The story of Paul Erdos, peripatetic mathematician, is certainly fascinating. His mathematical work is important enough, but of equal or greater significance is the social, or perhaps literary, concept known to mathematicians as the Erdos number (see http://www.acs.oakland.edu/~grossman/erdoshp.html). Erdos collaborated, or co-authored papers, with over five hundred colleagues, and that number is climbing even after his death, as work stimulated by conversations with him continues to be published. Schechter's account of Erdos' unsettled life is seamlessly integrated with the mathematics that inspired it. In fact, I cannot recall another biography which so carefully weaves the technical content in with the biographical facts. Interestingly, it is not Erdos' work itself which is included, but the basic work of proofs, particularly number theory. In this way, the text illuminates, as far as may be possible, the world of the mathematician, even for the non-mathematical reader. This tutelary factor improves the vitality of the work: Erdos was an obsessed man, and the author goes a long way to demonstrating even to those who don't share this obsession what and why it is. The Erdos who inhabits Schechter's book is not necessarily appealing, despite the author's sympathetic treatment. The picture we are presented with, reading between the lines, is not that of a happy or attractive person. Productive, prolific, and undeniably portentous he was, but also unusual and unsettled. The constant travel and endless collaborations can be seen as a rejection of the standards of a world in which he did not, early on, succeed, and the stream of work can also appear as a distraction from a life which had almost none of the normal attachments. Still, the book itself is an excellent piece of work in terms of scientific biography. copyright Robert M. Slade, 2000 BKMBRNOP.RVW 20000407