Download A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: by S.S. Kutateladze PDF

By S.S. Kutateladze

A.D. Alexandrov's contribution to the sector 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 summary of the most strategies after which exploring different subject matters, corresponding to common propositions on an intrinsic metric; angles and curvature; lifestyles 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 necessary for graduate scholars who desire a larger knowing of this subject.

Show description

Read Online or Download A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics) PDF

Similar geometry & topology books

A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics)

A. D. Alexandrov's contribution to the sector of intrinsic geometry was once unique and extremely influential. this article is a vintage that continues to be unsurpassed in its readability and scope. It provides his middle fabric, initially released in Russian in 1948, starting wth an overview of the most ideas after which exploring different issues, akin to basic propositions on an intrinsic metric; angles and curvature; lifestyles of a convex polyhedron with prescribed metric; curves on convex surfaces; and the function of particular curvature.

The Gelfand Mathematical Seminars, 1990–1992

This Seminar started in Moscow in November 1943 and has persevered with out interruption as much as the current. we're chuffed that with this vol­ ume, Birkhiiuser has began to post papers of talks from the Seminar. It was once, regrettably, tricky to arrange their e-book sooner than 1990. because 1990, lots of the talks have taken position at Rutgers college in New Brunswick, New Jersey.

Perspectives in Analysis, Geometry, and Topology: On the Occasion of the 60th Birthday of Oleg Viro: 296 (Progress in Mathematics)

The articles during this quantity are invited papers from the Marcus Wallenberg symposium and specialize in examine topics that bridge the gap between analysis, geometry, and topology. The encounters among those 3 fields are common and infrequently offer impetus for significant breakthroughs in applications. Topics contain new advancements in low dimensional topology with regards to invariants of hyperlinks and 3 and 4 manifolds; Perelman's amazing facts of the Poincare conjecture; and the new advances made in algebraic, advanced, symplectic, and tropical geometry.

Mathematical Concepts

The most purpose of this booklet is to explain and advance the conceptual, structural and summary taking into account arithmetic. particular mathematical buildings are used to demonstrate the conceptual method; supplying a deeper perception into mutual relationships and summary universal gains. those rules are conscientiously influenced, defined and illustrated by means of examples in order that the various extra technical proofs should be passed over.

Extra info for A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics)

Example text

Download PDF sample

Rated 4.31 of 5 – based on 46 votes