Brouwer David Hilbert (2 results)

Hardcover. Condition: Near Fine. Dust Jacket Condition: Very Good + Jacket. First UK Edition. Vii, 536 Pp. Blue Cloth, Gilt. First Uk Printing (1964). The Book Brings Together For The First Time An Extensive Collection Of Essays By Both Philosophers And Mathematicians On The Nature Of Mathematics; Philosophical Questions Are Discussed By Leaders In Each Field. The Selections Include The First English Translations Of Several Important Works, As Well As New Translations Of Others, And Several Articles Have Been Extensively Revised By Their Authors For This Anthology. Book Near Fine, Slight Usage. Dj Priced 63S. Net. With Slight Rubbing.

Leipzig, B.G. Teubner, 1912. 8vo. Bound in half cloth with the original printed wrappers. In "Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 68. Band. 3. Heft." Entire issue offered.Black title-label in leather with gilt lettering to spine. Small library-label pasted on to top of spine. Small library stamp to title page and a few numbers written on front wrapper. Internally very fine and clean. [Brouwer:] Pp. 37-54" Pp. 55-6" Pp. 422-25 [Entire issue: (4), 595 pp.]. First printing of three important papers by Brouwer. In "Zur Invarianz des n-dimensionalen Gebiets" Brouwer introduced his "Invariance of domain" which is a theorem in topology about homeomorphic subsets of Euclidean space."The existence of one-to-one correspondences between numerical spaces Rn for different n, shown by Cantor, together with Peano's subsequent example (1890) of a continuous mapping of the unit segment onto the square, had induced mathematicians to conjecture that topological mappings of numerical spaces Rn would preserve the number n (dimension). In 1910 Brouwer proved this conjecture for arbitrary n." (DSB).