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The Plaid Model: (AMS-198)

Richard Evan Schwartz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.001.0001
Subject:
Mathematics, Educational Mathematics

Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane ... More


Epilogue: Natural Complexity

Paul Charbonneau

in Natural Complexity: A Modeling Handbook

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691176840
eISBN:
9781400885497
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691176840.003.0012
Subject:
Computer Science, Programming Languages

In this epilogue, the author reflects on complexity in nature, first by sharing his observations on lichens in the slickrock mountain bike trails of the Moab region in southeastern Utah. More ... More


Gravitational Scattering

John A. Adam

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

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691148373
eISBN:
9781400885404
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148373.003.0016
Subject:
Mathematics, Applied Mathematics

This chapter discusses Kepler's laws of planetary motion in relation to gravitational scattering. Gravitational scattering occurs when the paths of particles passing near a massive body are ... More


Locke and Cartesian Cosmology

Peter R. Anstey

in Locke and Cartesian Philosophy

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198815037
eISBN:
9780191852855
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198815037.003.0003
Subject:
Philosophy, History of Philosophy

The Cartesian vortex theory was of great interest to John Locke. Yet, the evidence for Locke’s interactions with and attitude towards Cartesian cosmology has never been assembled. After providing a ... More


The Kepler problem

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter considers Newton’s 1665 explanations of the dynamics in the laws governing the motion of a planet around the Sun, which were established by Johannes Kepler in 1618. The first law states ... More


Introduction

John A. Adam

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

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691148373
eISBN:
9781400885404
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691148373.003.0001
Subject:
Mathematics, Applied Mathematics

This book deals with rays, waves, and scattering and covers many of the mathematical concepts, structures, and techniques used to study them. The subject of rays is explored in an ... More


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