Volcano-watching in Hawaii. . . with a nod to the history, the mystery, of volcanoes. Kilauea is one of the busiest volcanoes in the world, active 70 percent of the time during the 125 years to 1924, erupting nine times from 1924 to 1959. On November 14, 1959, a research team was on hand for the fireworks; they had been for some time preparing with seismographs and tiltmeters to measure the swell of the summit, the inner life of the volcano. ""Never before has the sequence of summit eruption, flank eruption and summit collapse. . . been manifested this rapidly and completely,"" noted Dr. Jerry Eaton. The relationship between the mechanics of eruption and the composition of erupted lavas is still speculative, there are ""an amazing variety"" of volcanoes and great differences even in those which appear much alike. The frontier in this Frontier of Science series is wide open. From this indication, the series reads at a popular lay level; the book will partially depend for any explosive effect on the 116 photographs and drawings, not seen.