Surveys in modern mathematics /
Surveys in modern mathematics /
edited by Victor Prasolov, Yulij Ilyashenko.
- Cambridge : Cambridge University Press, 2005.
- 1 online resource (xi, 348 pages) : digital, PDF file(s).
- London Mathematical Society lecture note series ; 321 .
- London Mathematical Society lecture note series ; 321. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Independent University of Moscow and student sessions at the IUM -- Mysterious mathematical trinities / principle of topological economy in algebraic geometry / Rational curves, elliptic curves, and the Painleve equation / orbit method and finite groups / On the development of the theory of dynamical systems during the past quarter century / Foundations of computational complexity theory / Schrodinger equation and symplectic geometry / Rings and algebraic varieties / Billiard table as a playground for a mathematician / Fibonacci numbers and simplicity of 2[superscript 127] -- 1 / On problems of computational complexity / Values of the [zeta]-function / Combinatorics of trees / What is an operad? / orbit method beyond Lie groups : infinite-dimensional groups / orbit method beyond Lie groups : quantum groups / Conformal mappings and the Whitham equations / Projective differential geometry : old and new / Haken's method of normal surfaces and its applications to classification problem for 3-dimensional manifolds -- the life story of one theorem / V. I. Arnold -- V. I. Arnold -- Yu. I. Manin -- A. A. Kirillov -- D. V. Anosov -- A. A. Razborov -- S. P. Novikov -- M. Reid -- A. B. Katok -- A. N. Rudakov -- S. Smale -- P. Cartier -- P. Cartier -- P. Cartier -- A. A. Kirillov -- A. A. Kirillov -- I. M. Krichever -- V. Yu. Ovsienko -- S. V. Matveev.
This collection of articles from the Independent University of Moscow is derived from the Globus seminars held there. They are given by world authorities, from Russia and elsewhere, in various areas of mathematics and are designed to introduce graduate students to some of the most dynamic areas of mathematical research. The seminars aim to be informal, wide-ranging and forward-looking, getting across the ideas and concepts rather than formal proofs, and this carries over to the articles here. Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups. The volume as a whole is a fascinating and exciting overview of contemporary mathematics.
9780511614156 (ebook)
Mathematics.
QA37.3 / .S87 2005
510
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Independent University of Moscow and student sessions at the IUM -- Mysterious mathematical trinities / principle of topological economy in algebraic geometry / Rational curves, elliptic curves, and the Painleve equation / orbit method and finite groups / On the development of the theory of dynamical systems during the past quarter century / Foundations of computational complexity theory / Schrodinger equation and symplectic geometry / Rings and algebraic varieties / Billiard table as a playground for a mathematician / Fibonacci numbers and simplicity of 2[superscript 127] -- 1 / On problems of computational complexity / Values of the [zeta]-function / Combinatorics of trees / What is an operad? / orbit method beyond Lie groups : infinite-dimensional groups / orbit method beyond Lie groups : quantum groups / Conformal mappings and the Whitham equations / Projective differential geometry : old and new / Haken's method of normal surfaces and its applications to classification problem for 3-dimensional manifolds -- the life story of one theorem / V. I. Arnold -- V. I. Arnold -- Yu. I. Manin -- A. A. Kirillov -- D. V. Anosov -- A. A. Razborov -- S. P. Novikov -- M. Reid -- A. B. Katok -- A. N. Rudakov -- S. Smale -- P. Cartier -- P. Cartier -- P. Cartier -- A. A. Kirillov -- A. A. Kirillov -- I. M. Krichever -- V. Yu. Ovsienko -- S. V. Matveev.
This collection of articles from the Independent University of Moscow is derived from the Globus seminars held there. They are given by world authorities, from Russia and elsewhere, in various areas of mathematics and are designed to introduce graduate students to some of the most dynamic areas of mathematical research. The seminars aim to be informal, wide-ranging and forward-looking, getting across the ideas and concepts rather than formal proofs, and this carries over to the articles here. Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups. The volume as a whole is a fascinating and exciting overview of contemporary mathematics.
9780511614156 (ebook)
Mathematics.
QA37.3 / .S87 2005
510