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Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem
INTRODUCTION TO ARNOLD’S PROOF OF THE KOLMOGOROV–ARNOLD–MOSER THEOREM This book provides an accessible step-by-step account of Arnold’s classical proof of the Kolmogorov–Arnold–Moser (KAM) Theorem. It begins with a general background of the theorem, proves the famous Liouville–Arnold theorem for integrable systems and introduces Kneser’s tori in four-dimensional phase space. It then introduces and discusses the ideas and techniques used in Arnold’s proof, before the second half of the book walks the reader through a detailed account of Arnold’s proof with all the required steps. It will be a useful guide for advanced students of mathematical physics, in addition to resear...
The History of Mental Illness in Criminal Cases: The English Tradition
Whether the accused is competent to stand trial, whether the plaintiff is competent to accuse, or whether a witness is competent to testify has had a long legal history. Such questions draw legal reasoning into areas of ethical reflection and scientific debate deeply rooted in the moral history of the United States. Mental competence has come to play a central and controversial role in proving guilt, and in evaluating the severity of a crime and its corresponding punishment. This compendium brings together the major legal precedents and legal commentaries that have defined the role of mental illness in criminal trials throughout U.S. history. The reprint collection considers, among other issues, the evolution of the Supreme Court's position on the insanity defense and mental retardation, how these affect one's competency to stand trial or be executed, and how these affect culpability and punishment. Each volume begins with an introductory essay, and includes both cases and commentary. Scholars as well as students will find these volumes a useful research tool.
Finite Element Exterior Calculus
Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world?wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more?are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The...
The Real Benedict Arnold
Every account of the American Revolution mentions Benedict Arnold and brands him--correctly--as a traitor. There's no question that Arnold, an American army officer, switched his loyalty to the British side. Over the years, however, historians, partisans, and gossips have added to Arnold's unsavory reputation by distorting, embroidering, or simply ignoring factual details. In this informed and thoughtful account, Jim Murphy goes in search of the real man behind the "traitor" label, rumors, and folktales that became part of the Benedict Arnold legend. Drawing on Arnold's few surviving writings and on the letters, memoirs, and political documents of his contemporaries, Murphy builds a fascinating portrait of a brilliant man, consistently undervalued by his peers, who made a choice that continues to reverberate through American history. Dramatic accounts of crucial battles and political maneuvers round out this lively biography of a patriot who could have been a hero.
A Complement to Genealogies in the Library of Congress
Previously published by Magna Carta, Baltimore. Published as a set by Genealogical Publishing with the two vols. of the Genealogies in the Library of Congress, and the two vols. of the Supplement. Set ISBN is 0806316691.
Bio-Geo Interactions in Metal-Contaminated Soils
Metal contamination is an increasing ecological and eco-toxicological risk. Understanding the processes involved in metal mobilization, sorption and mineralization in soils are key features for soil bioremediation. Following an introduction to the physical, chemical and biological components of contaminated soils, various chapters address the interactions of soil, microorganisms, plants and the water phase necessary to transfer metals into biological systems. These include topics such as potential hazards at mining sites; rare earth elements in biotic and abiotic acidic systems; manganese redox reactions; biomineralisation, uranium in seepage water; metal-resistant streptomycetes; mycorrhiza in re-forestation; metal (hyper)accummulation in plants; microbial metal uptake; and their potential for bioremediation. This book will be of interest to soil biologists, geologists and chemists, researchers and graduate students, as well as consulting companies and small enterprises involved in bioremediation.
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