By S.S. Kutateladze
A.D. Alexandrov's contribution to the sphere of intrinsic geometry used to be unique and intensely influential. this article is a vintage that continues to be unsurpassed in its readability and scope. It provides his center fabric, initially released in Russian in 1948, starting wth an overview of the most ideas after which exploring different themes, resembling normal propositions on an intrinsic metric; angles and curvature; life of a convex polyhedron with prescribed metric; curves on convex surfaces; and the function of particular curvature. this article offers Adefinitive resource for the improvement of intrinsic geometry and is fundamental for graduate scholars who need a larger figuring out of this subject.
Read or Download A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics) PDF
Best geometry & topology books
Algebraic topology (also often called homotopy conception) is a flourishing department of contemporary arithmetic. it's very a lot a global topic and this is often mirrored within the heritage of the 36 major specialists who've contributed to the instruction manual. Written for the reader who already has a grounding within the topic, the quantity comprises 27 expository surveys protecting the main lively parts of study.
This quantity is devoted to the reminiscence of the past due Oded Schramm (1961-2008), distinctive mathematician. all through his profession, Schramm made profound and lovely contributions to arithmetic that would have a long-lasting impression. In those volumes, Editors Itai Benjamini and Olle Häggström have gathered a few of his papers, supplemented with 3 survey papers by means of Steffen Rohde, Häggström and Cristophe Garban that extra elucidate his paintings.
We examine GIT quotients of polarized curves. extra in particular, we examine the GIT challenge for the Hilbert and Chow schemes of curves of measure d and genus g in a projective area of measurement d-g, as d decreases with admire to g. We turn out that the 1st 3 values of d at which the GIT quotients switch are given by means of d=a(2g-2) the place a=2, three.
Voici l. a. quatrième édition du cours de géométrie publié pour l. a. première fois en 2004. Cette édition a été revue et complétée avec soin. A los angeles demande de nombreux lecteurs, les graphiques ont été tous améliorés un à un. Ce cours permet d’acquérir des bases solides en géométrie pour passer l’agrégation ou le CAPES mathématiques.
- Leibniz on the Parallel Postulate and the Foundations of Geometry: The Unpublished Manuscripts (Science Networks. Historical Studies)
- Aspects of Topology: In Memory of Hugh Dowker 1912–1982 (London Mathematical Society Lecture Note Series)
- Algebraic Geometry over the Complex Numbers (Universitext)
- Erlebnis Elementargeometrie: Ein Arbeitsbuch zum selbstständigen und aktiven Entdecken (Mathematik Primarstufe und Sekundarstufe I + II) (German Edition)
- Undergraduate Topology: A Working Textbook
- Why Prove it Again?: Alternative Proofs in Mathematical Practice
Additional resources for A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics)
A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics) by S.S. Kutateladze