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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

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

Computing with CellsAdvances in Membrane Computing

Computing with Cells: Advances in Membrane Computing

Pierluigi Frisco

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199542864
eISBN:
9780191715679
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199542864.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Biology

How could we use living cells to perform computation? Would our definition of computation change as a consequence of this? Could such a cell-computer outperform digital computers? These are some of ... More

Concentration InequalitiesA Nonasymptotic Theory of Independence

Concentration Inequalities: A Nonasymptotic Theory of Independence

Stéphane Boucheron, Gábor Lugosi, and Pascal Massart

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199535255
eISBN:
9780191747106
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535255.001.0001
Subject:
Mathematics, Probability / Statistics, Applied Mathematics

This monograph presents a mathematical theory of concentration inequalities for functions of independent random variables. The basic phenomenon under investigation is that if a function of many ... More

Consumer Credit ModelsPricing, Profit and Portfolios

Consumer Credit Models: Pricing, Profit and Portfolios

Lyn C. Thomas

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199232130
eISBN:
9780191715914
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199232130.001.1
Subject:
Mathematics, Applied Mathematics, Mathematical Finance

Credit scoring — the quantitative and statistical techniques which assess the credit risks when lending to consumers — has been one of the most successful if unsung applications of mathematics in ... More

Credit Risk ManagementBasic Concepts: Financial Risk Components, Rating Analysis, Models, Economic and Regulatory Capital

Credit Risk Management: Basic Concepts: Financial Risk Components, Rating Analysis, Models, Economic and Regulatory Capital

Tony Van Gestel and Bart Baesens

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199545117
eISBN:
9780191720147
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199545117.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Finance

This book is the first book of a series of three that provides an overview of all aspects, steps, and issues that should be considered when undertaking credit risk management, including the Basel II ... More

Dynamics of Viscous Compressible Fluids

Dynamics of Viscous Compressible Fluids

Eduard Feireisl

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528388
eISBN:
9780191713590
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528388.001.0001
Subject:
Mathematics, Applied Mathematics

The book presents and develops the most recent ideas and concepts of the mathematical theory of viscous, compressible, and heat conducting fluids. Two main objectives are pursued: (i) global ... More

Electromagnetism of Continuous MediaMathematical Modelling and Applications

Electromagnetism of Continuous Media: Mathematical Modelling and Applications

Mauro Fabrizio and Angelo Morro

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198527008
eISBN:
9780191713316
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527008.001.0001
Subject:
Mathematics, Applied Mathematics

This book is devoted to the mathematical modelling of electromagnetic materials. Electromagnetism in matter is developed with particular emphasis on material effects, which are ascribed to memory in ... More

Everyday CryptographyFundamental Principles and Applications

Everyday Cryptography: Fundamental Principles and Applications

Keith M. Martin

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199695591
eISBN:
9780191774898
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199695591.001.0001
Subject:
Mathematics, Applied Mathematics

Cryptography is a vital technology that underpins the security of information in computer networks. This book presents an introduction to the role that cryptography plays in providing information ... More

The Factorization Method for Inverse Problems

The Factorization Method for Inverse Problems

Andreas Kirsch and Natalia Grinberg

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.001.0001
Subject:
Mathematics, Applied Mathematics

This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to traditional methods which are based on ... More

The Fascinating World of Graph Theory

The Fascinating World of Graph Theory

Ping Zhang, Gary Chartrand, and Arthur Benjamin

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175638
eISBN:
9781400852000
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175638.001.0001
Subject:
Mathematics, Applied Mathematics

Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, ... More

Finite Elasticity Theory

Finite Elasticity Theory

David J. Steigmann

Published in print:
2017
Published Online:
December 2017
ISBN:
9780198567783
eISBN:
9780191746536
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198567783.001.0001
Subject:
Mathematics, Applied Mathematics

This book is suitable for a first-year graduate course on Non-linear Elasticity Theory. It is aimed at graduate students, post-doctoral fellows and researchers working in Mechanics. Included is a ... More

Gamma-Convergence for Beginners

Gamma-Convergence for Beginners

Andrea Braides

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.001.0001
Subject:
Mathematics, Applied Mathematics

This book introduces the main concepts of the theory of De Giorgi's Gamma-convergence and gives a description of its main applications to the study of asymptotic variational problems. The content is ... More

General Relativity and the Einstein Equations

General Relativity and the Einstein Equations

Yvonne Choquet-Bruhat

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.001.0001
Subject:
Mathematics, Applied Mathematics

General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these ... More

Hybrid Dynamical SystemsModeling, Stability, and Robustness

Hybrid Dynamical Systems: Modeling, Stability, and Robustness

Rafal Goebel, Ricardo G. Sanfelice, and Andrew R. Teel

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153896
eISBN:
9781400842636
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153896.001.0001
Subject:
Mathematics, Applied Mathematics

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, ... More

Inverse Eigenvalue ProblemsTheory, Algorithms, and Applications

Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Moody Chu and Gene Golub

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.001.0001
Subject:
Mathematics, Applied Mathematics

The basic goal of an inverse eigenvalue problem is to reconstruct the physical parameters of a certain system from the knowledge or desire of its dynamical behavior. Depending on the application, ... More

Krylov Subspace MethodsPrinciples and Analysis

Krylov Subspace Methods: Principles and Analysis

Jörg Liesen and Zdenek Strakos

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199655410
eISBN:
9780191744174
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199655410.001.0001
Subject:
Mathematics, Applied Mathematics, Algebra

This book offers a detailed treatment of the mathematical theory of Krylov subspace methods with focus on solving systems of linear algebraic equations. Starting from the idea of projections, Krylov ... More

Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691142173
eISBN:
9781400842650
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691142173.001.0001
Subject:
Mathematics, Applied Mathematics

Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important ... More

Mathematical Methods in Elasticity Imaging

Mathematical Methods in Elasticity Imaging

Habib Ammari, Elie Bretin, Josselin Garnier, Hyeonbae Kang, Hyundae Lee, and Abdul Wahab

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691165318
eISBN:
9781400866625
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691165318.001.0001
Subject:
Mathematics, Applied Mathematics

This book comprehensively explores elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave ... More

Modern Anti-windup SynthesisControl Augmentation for Actuator Saturation

Modern Anti-windup Synthesis: Control Augmentation for Actuator Saturation

Luca Zaccarian and Andrew R. Teel

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691147321
eISBN:
9781400839025
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147321.001.0001
Subject:
Mathematics, Applied Mathematics

This book provides a wide variety of state-space-based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. Specifically, it addresses and solves ... More

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