Foundations of Geometry (Grundlagen der Geometrie). Tenth Edition.

HILBERT, David (1862-1943) [BERNAYS, Paul 1888-1977]:

Edité par La Salle: Open Court, 1971., 1971

A propos de cet article

Final (or possibly next to final) edition in English (1st German ed., 1899; 1st ed. in English, 1902; the 7th ed. in English was the final one published in Hilbert's lifetime), containing five supplements (pp. 200-24). Bernays began editing revised editions in 1956 (8th ed.) and the 9th ed. appeared in 1962. ix, 226 pp. Original wrappers. Signature of former owner on title page, else Very Good+. Bernays's preface to this 10th ed. is dated Feb., 1968. This translation -- not to be confused with the first Edition in English, prepared by E. J. Townsend (1902) -- was reprinted by Kessinger as recently as 2001, with an ISBN of 0875481647 (not present in the 1971 printing offered here). Hans Freudenthal's D.S.B. article on Hilbert (Vol. VI: 388-95; 395) mentions the 1962 9th ed. but not the 10th; he also mentions Bernays's article on Hilbert in Encyclopedia of Philosophy, III (New York, 1967), 496-504. There is no mention of Townsend's translation. 'There is hardly one result of his Grundlagen der Geometrie which would not have been discovered in the course of time if Hilbert had not written this book. But what matters is that one man alone wrote this book, and that it is a fine book. Grundlagen der Geometrie, published in 1899, reached its ninth edition in 1962. This means that it is still being read, and obviously by more people than read Hilbert's other work. It has gradually been modernized, but few readers realize that foundations of geometry as a field has developed more rapidly than Grundlagen der Geometrie as a sequence of reeditions and that Hilbert's book is now a historical document rather than a basis of modern research or teaching' (D.S.B. VI: 390). For Bernays and his longtime collaboration with Hilbert -- he was Hilbert's assistant at Göttingen beginning in 1917 and his co-author of Grundlagen der Mathematik (1934-39) -- see Gregory H. Moore's article in D.S.B. 17: 75-8. On p. 77, Moore writes that Bernays 'also edited the later editions of David Hilbert's Grundlagen der Geometrie,' but gives the date Stuttgart, 1977. Bernays lived until that year but it is possible the 1977 printing merely reprints that of 1971; I'd have to see it to be sure.

N° de réf. du vendeur 18288

Détails bibliographiques

• Titre: Foundations of Geometry (Grundlagen der Geometrie). Tenth Edition.
• Éditeur: La Salle: Open Court, 1971.
• Date de parution: 1971
• Reliure: Soft cover
• Édition: 5th or later Edition
• État de l'article: Fine
• État de la jaquette: No Jacket