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Action-minimizing Methods in Hamiltonian Dynamics (MN-50)An Introduction to Aubry-Mather Theory

Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Alfonso Sorrentino

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691164502
eISBN:
9781400866618
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691164502.001.0001
Subject:
Mathematics, Applied Mathematics

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical ... More

Advances in AnalysisThe Legacy of Elias M. Stein

Advances in Analysis: The Legacy of Elias M. Stein

Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159416
eISBN:
9781400848935
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159416.001.0001
Subject:
Mathematics, Numerical Analysis

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His ... More

Agent_ZeroToward Neurocognitive Foundations for Generative Social Science

Agent_Zero: Toward Neurocognitive Foundations for Generative Social Science

Joshua M. Epstein

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691158884
eISBN:
9781400848256
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158884.001.0001
Subject:
Mathematics, Applied Mathematics

This book introduces a new theoretical entity: Agent_Zero. This software individual, or “agent,” is endowed with distinct emotional/affective, cognitive/deliberative, and social modules. Grounded in ... More

Alan Turing's Automatic Computing EngineThe Master Codebreaker's Struggle to build the Modern Computer

Alan Turing's Automatic Computing Engine: The Master Codebreaker's Struggle to build the Modern Computer

B. Jack Copeland (ed.)

Published in print:
2005
Published Online:
January 2008
ISBN:
9780198565932
eISBN:
9780191714016
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198565932.001.0001
Subject:
Mathematics, History of Mathematics

The mathematical genius Alan Turing (1912-1954) was one of the greatest scientists and thinkers of the 20th century. Now well known for his crucial wartime role in breaking the ENIGMA code, he was ... More

Algebraic and Geometric Surgery

Algebraic and Geometric Surgery

Andrew Ranicki

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509240
eISBN:
9780191708725
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509240.001.0001
Subject:
Mathematics, Geometry / Topology

This book is an introduction to surgery theory, the standard algebraic topology classification method for manifolds of dimension greater than 4. It is aimed at those who have already been on a basic ... More

An Alternative Approach to Lie Groups and Geometric Structures

An Alternative Approach to Lie Groups and Geometric Structures

Ercüment H. Ortaçgil

Published in print:
2018
Published Online:
September 2018
ISBN:
9780198821656
eISBN:
9780191860959
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821656.001.0001
Subject:
Mathematics, Pure Mathematics

This book is about the foundations of geometric symmetry, namely, Lie groups and differential geometry. Although this is a classical subject about which hundreds of books have been written, this book ... More

The Ambient Metric (AM-178)

The Ambient Metric (AM-178)

Charles Fefferman and C. Robin Graham

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691153131
eISBN:
9781400840588
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153131.001.0001
Subject:
Mathematics, Geometry / Topology

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient ... More

Analysis and Stochastics of Growth Processes and Interface Models

Analysis and Stochastics of Growth Processes and Interface Models

Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer (eds)

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.001.0001
Subject:
Mathematics, Probability / Statistics, Analysis

There has been a significant increase recently in activities on the interface between applied analysis and probability theory. With the potential of a combined approach to the study of various ... More

Applied Shape Optimization for Fluids

Applied Shape Optimization for Fluids

Bijan Mohammadi and Olivier Pironneau

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199546909
eISBN:
9780191720482
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546909.001.0001
Subject:
Mathematics, Mathematical Physics

The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering ... More

Arithmetic Compactifications of PEL-Type Shimura Varieties

Arithmetic Compactifications of PEL-Type Shimura Varieties

Kai-Wen Lan

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691156545
eISBN:
9781400846016
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691156545.001.0001
Subject:
Mathematics, Geometry / Topology

By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical ... More

Asymptotic Differential Algebra and Model Theory of Transseries

Asymptotic Differential Algebra and Model Theory of Transseries

Matthias Aschenbrenner, Lou van den Dries, and Joris van der Hoeven

Published in print:
2017
Published Online:
October 2017
ISBN:
9780691175423
eISBN:
9781400885411
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175423.001.0001
Subject:
Mathematics, Computational Mathematics / Optimization

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a ... More

Bayesian Nets and CausalityPhilosophical and Computational Foundations

Bayesian Nets and Causality: Philosophical and Computational Foundations

Jon Williamson

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198530794
eISBN:
9780191712982
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530794.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book provides an introduction to, and analysis of, the use of Bayesian nets in causal modelling. It puts forward new conceptual foundations for causal network modelling: The book argues that ... More

Bayesian Smoothing and Regression for Longitudinal, Spatial and Event History Data

Bayesian Smoothing and Regression for Longitudinal, Spatial and Event History Data

Ludwig Fahrmeir and Thomas Kneib

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199533022
eISBN:
9780191728501
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199533022.001.0001
Subject:
Mathematics, Probability / Statistics, Biostatistics

Several recent advances in smoothing and semiparametric regression are presented in this book from a unifying, Bayesian perspective. Simulation-based full Bayesian Markov chain Monte Carlo (MCMC) ... More

Bayesian Statistics 9

Bayesian Statistics 9

José M. Bernardo, M. J. Bayarri, James O. Berger, A. P. Dawid, David Heckerman, Adrian F. M. Smith, and Mike West (eds)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199694587
eISBN:
9780191731921
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199694587.001.0001
Subject:
Mathematics, Probability / Statistics

The Valencia International Meetings on Bayesian Statistics – established in 1979 and held every four years – have been the forum for a definitive overview of current concerns and activities in ... More

Bayesian Theory and Applications

Bayesian Theory and Applications

Paul Damien, Petros Dellaportas, Nicholas G. Polson, and David A. Stephens (eds)

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199695607
eISBN:
9780191744167
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199695607.001.0001
Subject:
Mathematics, Probability / Statistics

The development of hierarchical models and Markov chain Monte Carlo (MCMC) techniques forms one of the most profound advances in Bayesian analysis since the 1970s and provides the basis for advances ... More

Benford's LawTheory and Applications

Benford's Law: Theory and Applications

Steven J. Miller (ed.)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691147611
eISBN:
9781400866595
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147611.001.0001
Subject:
Mathematics, Probability / Statistics

Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from ... More

Bolzano's Logical System

Bolzano's Logical System

Ettore Casari

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198788294
eISBN:
9780191830228
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198788294.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

A starting point of Bolzano’s logical reflection was the conviction that among truths there is a connection, according to which some truths are grounds of others, and these in turn are consequences ... More

Catalan Numbers with Applications

Catalan Numbers with Applications

Thomas Koshy

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Fibonacci and Lucas sequences are “two shining stars in the vast array of integer sequences,” and because of their ubiquitousness, tendency to appear in quite unexpected and unrelated places, ... More

Category Theory

Category Theory

Steve Awodey

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.001.0001
Subject:
Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More

Causality in the Sciences

Causality in the Sciences

Phyllis McKay Illari, Federica Russo, and Jon Williamson (eds)

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199574131
eISBN:
9780191728921
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574131.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

There is a need for integrated thinking about causality, probability, and mechanism in scientific methodology. A panoply of disciplines, ranging from epidemiology and biology through to econometrics ... More

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