We present the basic data for a large ground-based spectroscopic survey for z~3 ``Lyman break galaxies (LBGs), photometrically selected using rest-UV colors from very deep images in 17 high Galactic latitude fields. The total survey covers an area of 0.38 square degrees, and includes 2347 photometrically-selected candidate LBGs to an apparent R_{AB} magnitude limit of 25.5. Approximately half of these objects have been observed spectroscopically using the Keck telescopes, yielding 940 redshifts with <z> =2.96 +/- 0.29. We discuss the images, photometry, target selection, and the spectroscopic program in some detail, and present catalogs of the photometric and spectroscopic data, made available in electronic form. We discuss the general utility of conducting nearly-volume-limited redshift surveys in prescribed redshift intervals using judicious application of photometric pre-selection.
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