"Non-Euclidean Geometry is a history of the alternate geometries that have emerged since the rejection of Euclidżs parallel postulate. Italian mathematician ROBERTO BONOLA (1874ż1911) begins by surveying efforts by Greek, Arab, and Renaissance mathematicians to close the gap in Euclidżs axiom. Then, starting with the 17th century, as mathematicians began to question whether it was actually possible to prove Euclidżs postulate, he examines non-Euclidean predecessors Saccheri, Lambert, Legendre, W. Bolyai, Wachter, and Thibaut, and non-Euclidean żfoundersż Gauss, Schweikart, Taurinus, Lobachevski, and J. Bolyai. He concludes with a look at later developments in non-Euclidean geometry. Including five appendices and an index of authors, Bonolażs Non-Euclidean Geometry is a useful reference guide for students of mathematical history. "