Springer’s *Classics in Mathematics* series offers paperback reprints of older books that have become established as classics in their fields. *Probability in Banach Spaces* was first published in 1991. The Telegraphic Review in the April 1992 of the *American Mathematical Monthly* said

An attempt to summarize the explosion of developments in the past twenty years. Focuses on two related topics: isoperimetric inequalities/methods, and the regularity of random processes. Highly technical. Contains a huge bibliography. Note price. TAV

“TAV” was Thomas A. Vessey, then a professor at St. Olaf College. The price he was “noting” was indeed spectacular for the time: $129. Today, that price would be less unusual, though still high. This edition comes in at a much smaller nominal price, which is good news.

The book is reprinted essentially unchanged. A welcome addition to the front matter is a page with photos and brief biographies of the authors. Surprisingly, the final page in the original edition, which was an advertisement for other books in the third seris of Springer’s *Ergebnisse*, is included as well. There were 22 books in the series at that time, compared to 57 listed today on Springer’s web site.

The back cover quotes a review from *MathSciNet* by Evarist Giné:

This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development during the last thirty years. There is no doubt in the reviewer’s mind that this book will become a classic. [MR1102015 (93c:60001)]

They make one change, however, replacing “will” in the last sentence with “has.” Well, I guess it has, but that wasn’t what the review said.

The last page in this edition is also new, giving a listing of the books in Springer’s *Classics* series. They have been chosen well: as far as I can tell, the books listed are indeed worthy of inclusion in a series with that title. So is this one.

Fernando Q. Gouvêa loves books, which is a good thing, since he is the editor of MAA Reviews. In real life, he is Carter Professor of Mathematics at Colby College in Waterville, ME.