Author: Yuri I. Manin
Publisher: American Mathematical Society
Keywords: works, collected, metaphor, mathematics
Number of Pages: 232
Published: 2007-11-21
List price: $49.00
ISBN-10: 0821843311
ISBN-13: 9780821843314

The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay

Authors:Sergei I. Gelfand, Yuri I. Manin,
Publisher: Springer
Keywords: algebra, homological, methods
Number of Pages: 376
Published: 2003-01-17
List price: $119.00
ISBN-10: 3540435832
ISBN-13: 9783540435839

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of

Authors:S.I. Gelfand, Yu.I. Manin, A.I. Kostrikin, I.R. Shafa
Publisher: Springer
Keywords: sciences, mathematical, encyclopaedia, algebra, homological
Number of Pages: 227
Published: 2001-05-24
List price: $139.00
ISBN-10: 3540533737
ISBN-13: 9783540533733

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-k

Authors:Vladimir I. Arnold, Ludvig D. Faddeev, Yu. I. Manin,
Publisher: Springer
Keywords: century, twentieth, events, mathematical
Number of Pages: 545
Published: 2005-10-26
List price: $149.00
ISBN-10: 3540232354
ISBN-13: 9783540232353

This book contains several contributions on the most outstanding events in the development of 20th century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous mathematicians of 20th century mathematics who exerted great influence in its development. This book will be of great interest to mathematicians, who will enjoy see

Authors:Yu. I. Manin, Alexei A. Panchishkin,
Publisher: Springer
Keywords: theories, encyclopaedia, mathematical, sciences, ideas, problems, modern, number, theory, fundamental, introduction
Number of Pages: 514
Published: 2005-05-23
List price: $159.00
ISBN-10: 3540203648
ISBN-13: 9783540203643

"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles’ proof of Fermat’s Last Theorem, and relevant techniques coming from a synt

Authors:Yuri Tschinkel, Yuri Zarhin,
Publisher: Birkhäuser Boston
Keywords: manin, progress, mathematics, honor, volume, arithmetic, geometry, algebra
Number of Pages: 704
Published: 2010-04-15
List price: $129.00
ISBN-10: 0817647465
ISBN-13: 9780817647469

Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics. Contributors in the second volume: M. Harris D. Kaledin M. Kapranov N.M. Katz R.M. Kaufmann J. Kollár M. Kontsevich M. Larsen M. Markl L. Merel S.A. Merkulov M.V. Movshev E. Mukhin J. Nekovárˇ V.V. Nikulin O. Ogievetsky F. Oort D. Orlov A. Panchishkin I. Penkov A. Polishchuk P. Sarnak V. Schechtman V. Tarasov A.S. Tikhomirov J. Tsimerman K. Vankov A. Varchenko A.

Authors:Adam Przeworski, Susan C. Stokes, Bernard Manin,
Publisher: Cambridge University Press
Keywords: democracy, theory, studies, representation, accountability, cambridge
Number of Pages: 364
Published: 1999-09-13
List price: $41.00
ISBN-10: 0521646162
ISBN-13: 9780521646161

This book examines whether mechanisms of accountability characteristic of democratic systems are sufficient to induce the representatives to act in the best interest of the represented. The first part of the volume focuses on the role of elections, distinguishing different ways in which they may cause representation. The second part is devoted to the role of checks and balances, between the government and the parliament as well as between the government and the bureaucracy. Overall, the essays combine theoretical discussions, game-theoretic models, case studies, and statistical analyses, withi