Heritage of European Mathematics 2010; 322 pp; hardcover Volume: 4 ISBN10: 3037190876 ISBN13: 9783037190876 List Price: US$98 Member Price: US$78.40 Order Code: EMSHEM/4
 Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a résumé of his work on nonEuclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Readership Graduate students and research mathematicians interested in nonEuclidean geometry and its applications. Table of Contents  I. Pangeometry
 II. Lobachevsky's biography
 III. A commentary on Lobachevsky's Pangeometry
 Bibliography
