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## 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_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

## 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

## Formal Verification of Control System Software

*Pierre-Loïc Garoche*

- Published in print:
- 2019
- Published Online:
- January 2020
- ISBN:
- 9780691181301
- eISBN:
- 9780691189581
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691181301.001.0001
- Subject:
- Mathematics, Applied Mathematics

The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can ... More

## 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

## The Master Equation and the Convergence Problem in Mean Field Games: (AMS-201)

*Pierre Cardaliaguet, François Delarue, Jean-Michel Lasry, and Pierre-Louis Lions*

- Published in print:
- 2019
- Published Online:
- May 2020
- ISBN:
- 9780691190716
- eISBN:
- 9780691193717
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691190716.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical ... More

## 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

*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 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

## Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

*John A. Adam*

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691148373
- eISBN:
- 9781400885404
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148373.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. It includes discussions of how ocean waves are refracted around ... More

## Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach

*Wassim M. Haddad and Sergey G. Nersesov*

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691153469
- eISBN:
- 9781400842667
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153469.001.0001
- Subject:
- Mathematics, Applied Mathematics

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social ... More

## Totally Nonnegative Matrices

*Shaun M. Fallat and Charles R. Johnson*

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691121574
- eISBN:
- 9781400839018
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691121574.001.0001
- Subject:
- Mathematics, Applied Mathematics

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, ... More

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