convex surfaces interscience tracts pure di herbert busemann (3 risultati)

Hardcover. Condizione: Good. Solid retired library book with usual library markings; else VG. Text free of underlining, writing and highlighting. PREFACE The purpose of this tract is to acquaint the mathematical public with a subject, convex surfaces, which during the past 25 years has experienced a striking and beautiful development, principally in Russia, but has remained largely unknown, at least in the U.S.A. The book grew out of lectures which the author gave, upon the request of his colleagues, at the Summer Institute for Differential Geometry in the Large at Seattle in 1956. These lectures were, of necessity, hastily prepared and this is, so to speak, the version which the author would have liked to present. It is not an encyclopedic account with complete proofs, which would have required something like 800 pages, and would have frightened a potential friend away from, rather than have acquainted him with, the theory of convex surfaces. Consequently, some indications about the method of presentation will be welcome. The reader will find a self-contained description of the main results of the theory: all definitions are given and all theorems are formulated precisely. The number of complete proofs in the first two chapters is greater than in the last two, for the following reason: Chapters I and II form, in many respects, a natural complement to Bonnesen and Fenchel's Theorie der konvexen Korper (1934). They deal largely with subjects conjectured or suggested in that report and are written in this spirit: proofs found in the report are not repeated. This material appears here for the first time in book form. Most of the content of the last two chapters can be found in books, mainly in A. D. Alexandrov's Die innere Geometrie der konvexen Fldchen. The major part of the present book, also of1 Chapters I and II, is in fact due to Alexandrov, and a great deal of the rest was stimulated by him. Many theorems, in particular of Chapter III, deal with general forms of well-known classical theorems and the absence of proofs, which are usually quite long, will not be found disturbing.

Hard Cover. Condizione: Fair. No Jacket. Ex-library with the usual features. The interior is clean and tight. Binding is good. Cover is scuffed and edge worn. 196 pages. Ex-Library.

First Edition,. ix, 196 pp. with some Figures, Die Originalausgabe (the original edition)! Sprache: Englisch Gewicht in Gramm: 460 Groß 8°, Original-Pappband (Hardcover), Bibliotheks-Exemplar (ordungsgemäß entwidmet) mit leichten Rückständen vom Rückenschild, Stempel auf Titel, insgesamt gutes und innen sauberes Exemplar, (library copy in good condition),