Compelling spring reading; First span over East River The Great Bridge: The Epic Story of the Building of Brooklyn Bridge, by David McCullough. New York: Touchstone Books. 636 pp. $9.95.

How many people are interested in reading the story, in 634 pages, of the building of a bridge? If it is this book, the answer is ''lots of people.'' ''The Great Bridge'' is a phenomenal achievement, treating the Brooklyn Bridge from its conception to its opening, and beyond. The Roeblings, who carried out the construction, Boss Tweed, Henry Ward Beecher, and a host of other characters appear throughout this engrossing story.

McCullough frequently digresses fr/m the main story, and yet he never trivializes. His keen sense of the drama of history enables him to bring to life the secrets it holds.

We want to hear, did we miss an angle we should have covered? Should we come back to this topic? Or just give us a rating for this story. We want to hear from you.