Author: József Attila TudományegyetemPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 818
Book Description
Acta Scientiarum Mathematicarum
Author: Acta Scientiarum Mathematicarum
Author: József Attila TudományegyetemPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 818
Book Description
Acta Scientiarum Mathematicarum
Author: József Attila TudományegyetemPublisher:
ISBN:
Category : Mathematics
Languages : de
Pages : 608
Book Description
Studia Scientiarum Mathematicarum Hungarica
Author: Concentration Inequalities
Author: Stéphane BoucheronPublisher: OUP Oxford
ISBN: 0191655503
Category : Mathematics
Languages : en
Pages : 492
Book Description
Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great revolution in the last few decades, and has applications in a wide variety of areas such as machine learning, statistics, discrete mathematics, and high-dimensional geometry. Roughly speaking, if a function of many independent random variables does not depend too much on any of the variables then it is concentrated in the sense that with high probability, it is close to its expected value. This book offers a host of inequalities to illustrate this rich theory in an accessible way by covering the key developments and applications in the field. The authors describe the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented. A self-contained introduction to concentration inequalities, it includes a survey of concentration of sums of independent random variables, variance bounds, the entropy method, and the transportation method. Deep connections with isoperimetric problems are revealed whilst special attention is paid to applications to the supremum of empirical processes. Written by leading experts in the field and containing extensive exercise sections this book will be an invaluable resource for researchers and graduate students in mathematics, theoretical computer science, and engineering.
The World as a Mathematical Game
Author: Giorgio IsraelPublisher: Springer Science & Business Media
ISBN: 3764398965
Category : Science
Languages : en
Pages : 215
Book Description
Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.
National Bureau of Standards Circular
Author: Periodicals and Serials Received in the Library of the National Bureau of Standards
Author: Natalie J. HopperPublisher:
ISBN:
Category : Science
Languages : en
Pages : 44
Book Description
Ω-Bibliography of Mathematical Logic
Author: Heinz-Dieter EbbinghausPublisher: Springer Science & Business Media
ISBN: 3662090589
Category : Mathematics
Languages : en
Pages : 653
Book Description
Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
New Serial Holdings
Author: United States. National Bureau of Standards. Library DivisionPublisher:
ISBN:
Category : Engineering
Languages : en
Pages : 246
Book Description