Richard H. Cushman's Books

Global Aspects of Classical Integrable Systems

By: Richard H. Cushman,Larry M. Bates

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Global Aspects of Classical Integrable Systems

By: Richard H. Cushman,Larry M. Bates

This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.

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Page Count

493

Publisher

Birkhäuser

Published Date

ISBN 10

3034809182

ISBN 13

9783034809184

Geometry of Nonholonomically Constrained Systems

By: Richard H. Cushman,Hans Duistermaat,J?drzej ?niatycki

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Geometry of Nonholonomically Constrained Systems

By: Richard H. Cushman,Hans Duistermaat,J?drzej ?niatycki

This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Carathodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat. The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields.

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Page Count

421

Publisher

World Scientific

Published Date

ISBN 10

9814289485

ISBN 13

9789814289481

The Making of Environmental Law

By: Richard J. Lazarus

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The Making of Environmental Law

By: Richard J. Lazarus

The unprecedented expansion in environmental regulation over the past thirty years—at all levels of government—signifies a transformation of our nation's laws that is both palpable and encouraging. Environmental laws now affect almost everything we do, from the cars we drive and the places we live to the air we breathe and the water we drink. But while enormous strides have been made since the 1970s, gaps in the coverage, implementation, and enforcement of the existing laws still leave much work to be done. In The Making of Environmental Law, Richard J. Lazarus offers a new interpretation of the past three decades of this area of the law, examining the legal, political, cultural, and scientific factors that have shaped—and sometimes hindered—the creation of pollution controls and natural resource management laws. He argues that in the future, environmental law must forge a more nuanced understanding of the uncertainties and trade-offs, as well as the better-organized political opposition that currently dominates the federal government. Lazarus is especially well equipped to tell this story, given his active involvement in many of the most significant moments in the history of environmental law as a litigator for the Justice Department's Environment and Natural Resources Division, an assistant to the Solicitor General, and a member of advisory boards of the U.S. Environmental Protection Agency, the World Wildlife Fund, and the Environmental Defense Fund. Ranging widely in his analysis, Lazarus not only explains why modern environmental law emerged when it did and how it has evolved, but also points to the ambiguities in our current situation. As the field of environmental law "grays" with middle age, Lazarus's discussions of its history, the lessons learned from past legal reforms, and the challenges facing future lawmakers are both timely and invigorating.

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Page Count

335

Publisher

University of Chicago Press

Published Date

ISBN 10

0226470644

ISBN 13

9780226470641

State and Local Government

By: Ann O'M. Bowman,Richard C. Kearney

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State and Local Government

By: Ann O'M. Bowman,Richard C. Kearney

Provides coverage of state and local institutions, political behaviour, and policy-making. Users cite the text's strengths as its policy orientation and it's unifying theme of the increased capacity and responsibility of state and local government.

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Page Count

584

Published Date

ISBN 10

0395906172

ISBN 13

9780395906170

Book's by Richard H. Cushman

Global Aspects of Classical Integrable Systems

Global Aspects of Classical Integrable Systems

Geometry of Nonholonomically Constrained Systems

Geometry of Nonholonomically Constrained Systems

The Making of Environmental Law

The Making of Environmental Law

State and Local Government

State and Local Government

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