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Classical Mechanics
This advanced text is the first book to describe the subject of classical mechanics in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability.
Stochastic Calculus and Differential Equations for Physics and Finance
Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.
Chaos, Dynamics, and Fractals
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
Dynamics of Markets
This second edition presents the advances made in finance market analysis since 2005. The book provides a careful introduction to stochastic methods along with approximate ensembles for a single, historic time series. The new edition explains the history leading up to the biggest economic disaster of the 21st century. Empirical evidence for finance market instability under deregulation is given, together with a history of the explosion of the US Dollar worldwide. A model shows how bounds set by a central bank stabilized FX in the gold standard era, illustrating the effect of regulations. The book presents economic and finance theory thoroughly and critically, including rational expectations, cointegration and arch/garch methods, and replaces several of those misconceptions by empirically based ideas. This book will be of interest to finance theorists, traders, economists, physicists and engineers, and leads the reader to the frontier of research in time series analysis.
Dynamics of Markets
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Hydrodynamics of Speed on the Water
High speed boats necessarily use surface-piercing propellers, but there is very little literature available on surface piercing. My aim is to quantify what I have understood about speed on the water from theory and practice combined. I'm uniquely qualified to write about the combination of fast planing hulls, propellers, and hydrodynamics. I know how a race boat feels under all conditions from 60-85 mph from driving successfully in competition. I have reworked and improved many existing propellers for racing and also for better performance on sport boats. I do my own work on boat bottoms, propellers, and motors. I've set nine outboard speed records, have won four national championships, and ...
Dynamics of Complex Interconnected Systems: Networks and Bioprocesses
This book reviews the synergism between various fields of research that are confronted with networks, such as genetic and metabolic networks, social networks, the Internet and ecological systems. In many cases, the interacting networks manifest so-called emergent properties that are not possessed by any of the individual components. Knowledge gained from the study of complex non-biological systems can be applied to the intricate braided relationships that govern cellular functions.
Capital Ideas
Capital Ideas traces the origins of modern Wall Street, from the pioneering work of early scholars and the development of new theories in risk, valuation, and investment returns, to the actual implementation of these theories in the real world of investment management. Bernstein brings to life a variety of brilliant academics who have contributed to modern investment theory over the years: Louis Bachelier, Harry Markowitz, William Sharpe, Fischer Black, Myron Scholes, Robert Merton, Franco Modigliani, and Merton Miller. Filled with in-depth insights and timeless advice, Capital Ideas reveals how the unique contributions of these talented individuals profoundly changed the practice of investment management as we know it today.
Critical Mineral Resources of the United States
As the importance and dependence of specific mineral commodities increase, so does concern about their supply. The United States is currently 100 percent reliant on foreign sources for 20 mineral commodities and imports the majority of its supply of more than 50 mineral commodities. Mineral commodities that have important uses and face potential supply disruption are critical to American economic and national security. However, a mineral commodity's importance and the nature of its supply chain can change with time; a mineral commodity that may not have been considered critical 25 years ago may be critical today, and one considered critical today may not be so in the future. The U.S. Geologi...
Computable, Constructive & Behavioural Economic Dynamics
The book contains thirty original articles dealing with important aspects of theoretical as well as applied economic theory. While the principal focus is on: the computational and algorithmic nature of economic dynamics; individual as well as collective decision process and rational behavior, some contributions emphasize also the importance of classical recursion theory and constructive mathematics for dynamical systems, business cycles theories, growth theories, and others are in the area of history of thought, methodology and behavioural economics. The contributors range from Nobel Laureates to the promising new generation of innovative thinkers. This volume is also a Festschrift in honour...
