Book Description
Detailed Description
Author : Frédérique Bassino
Publisher : Walter de Gruyter GmbH & Co KG
Page : 386 pages
File Size : 33,15 MB
Release : 2020-06-08
Category : Mathematics
ISBN : 3110667029
Detailed Description
Author : Frédérique Bassino
Publisher : Walter de Gruyter GmbH & Co KG
Page : 412 pages
File Size : 16,58 MB
Release : 2020-06-08
Category : Mathematics
ISBN : 3110667525
Detailed Description
Author : Olga Kharlampovich
Publisher : Walter de Gruyter GmbH & Co KG
Page : 244 pages
File Size : 36,66 MB
Release : 2021-05-10
Category : Mathematics
ISBN : 3110719711
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .
Author : Lane Hemaspaandra
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 39,56 MB
Release : 2001-12-01
Category : Computers
ISBN : 9783540674191
Here is an accessible, algorithmically oriented guide to some of the most interesting techniques of complexity theory. The book shows that simple algorithms are at the heart of complexity theory. The book is organized by technique rather than by topic. Each chapter focuses on one technique: what it is, and what results and applications it yields.
Author : A. Shen
Publisher : American Mathematical Soc.
Page : 534 pages
File Size : 27,47 MB
Release : 2017-11-02
Category : Computers
ISBN : 1470431823
Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory. The first part of this book is a textbook-style exposition of the basic notions of complexity and randomness; the second part covers some recent work done by participants of the “Kolmogorov seminar” in Moscow (started by Kolmogorov himself in the 1980s) and their colleagues. This book contains numerous exercises (embedded in the text) that will help readers to grasp the material.
Author : John H. Miller
Publisher : Basic Books
Page : 268 pages
File Size : 25,12 MB
Release : 2016-01-05
Category : Science
ISBN : 0465073867
A top expert explains why a social and economic understanding of complex systems will help society to anticipate and confront our biggest challenges Imagine trying to understand a stained glass window by breaking it into pieces and examining it one shard at a time. While you could probably learn a lot about each piece, you would have no idea about what the entire picture looks like. This is reductionism -- the idea that to understand the world we only need to study its pieces -- and it is how most social scientists approach their work. In A Crude Look at the Whole, social scientist and economist John H. Miller shows why we need to start looking at whole pictures. For one thing, whether we are talking about stock markets, computer networks, or biological organisms, individual parts only make sense when we remember that they are part of larger wholes. And perhaps more importantly, those wholes can take on behaviors that are strikingly different from that of their pieces. Miller, a leading expert in the computational study of complex adaptive systems, reveals astounding global patterns linking the organization of otherwise radically different structures: It might seem crude, but a beehive's temperature control system can help predict market fluctuations and a mammal's heartbeat can help us understand the "heartbeat" of a city and adapt urban planning accordingly. From enduring racial segregation to sudden stock market disasters, once we start drawing links between complex systems, we can start solving what otherwise might be totally intractable problems. Thanks to this revolutionary perspective, we can finally transcend the limits of reductionism and discover crucial new ideas. Scientifically founded and beautifully written, A Crude Look at the Whole is a powerful exploration of the challenges that we face as a society. As it reveals, taking the crude look might be the only way to truly see.
Author : Sanjeev Arora
Publisher : Cambridge University Press
Page : 609 pages
File Size : 22,66 MB
Release : 2009-04-20
Category : Computers
ISBN : 0521424267
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Author : Alexei G. Myasnikov
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 33,60 MB
Release : 2011
Category : Computers
ISBN : 0821853600
Examines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be used in public key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory.
Author : Alexander A. Ushakov
Publisher : Alfred A. Knopf
Page : 296 pages
File Size : 21,25 MB
Release : 1989
Category : Biography & Autobiography
ISBN :
Ushakov relates the dramatic story of his spectacular escape from the Soviet Union. He attempted to cross the Turkish border in the Caucasus Mountains against insurmountable odds. His success came three weeks later, after being relentlessly pursued by helicopters and soldiers.
Author : J. M. Landsberg
Publisher : Cambridge University Press
Page : 353 pages
File Size : 38,68 MB
Release : 2017-09-28
Category : Computers
ISBN : 110819141X
Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.