Introductory Course on Differential Equations


Book Description

Provides an excellent exposition of the fundamentals of ordinary and partial differential equations. The aim of this book is to present the elementary theories of differential equations in the forms suitable for use of those students whose main interest in the subject are based on simple mathematical ideas.




LEV


Book Description




RETRACTED BOOK: 151 Trading Strategies


Book Description

The book provides detailed descriptions, including more than 550 mathematical formulas, for more than 150 trading strategies across a host of asset classes and trading styles. These include stocks, options, fixed income, futures, ETFs, indexes, commodities, foreign exchange, convertibles, structured assets, volatility, real estate, distressed assets, cash, cryptocurrencies, weather, energy, inflation, global macro, infrastructure, and tax arbitrage. Some strategies are based on machine learning algorithms such as artificial neural networks, Bayes, and k-nearest neighbors. The book also includes source code for illustrating out-of-sample backtesting, around 2,000 bibliographic references, and more than 900 glossary, acronym and math definitions. The presentation is intended to be descriptive and pedagogical and of particular interest to finance practitioners, traders, researchers, academics, and business school and finance program students.




Qualitative Choice Analysis


Book Description

This book addresses two significant research areas in an interdependent fashion. It is first of all a comprehensive but concise text that covers the recently developed and widely applicable methods of qualitative choice analysis, illustrating the general theory through simulation models of automobile demand and use. It is also a detailed study of automobile demand and use, presenting forecasts based on these powerful new techniques. The book develops the general principles that underlie qualitative choice models that are now being applied in numerous fields in addition to transportation, such as housing, labor, energy, communications, and criminology. The general form, derivation, and estimation of qualitative choice models are explained, and the major models - logit, probit, and GEV - are discussed in detail. And continuous/discrete models are introduced. In these, qualitative choice methods and standard regression techniques are combined to analyze situations that neither alone can accurately forecast. Summarizing previous research on auto demand, the book shows how qualitative choice methods can be used by applying them to specific auto-related decisions as the aggregate of individuals' choices. The simulation model that is constructed is a significant improvement over older models, and should prove more useful to agencies and organizations requiring accurate forecasting of auto demand and use for planning and policy development. The book concludes with an actual case study based on a model designed for the investigations of the California Energy Commission. Kenneth Train is Visiting Associate Professor in Economics at the University of California, Berkeley, and Director of Economic Research at Cambridge Systematics, Inc., also in Berkeley. Qualitative Choice Analysisis included in The MIT Press Transportation Studies Series, edited by Marvin L. Manheim.




An Introduction to Laplace Transforms and Fourier Series


Book Description

This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.













Optimal Regulation


Book Description

Optimal Regulation addresses the central issue of regulatory economics - how toregulate firms in a way that induces them to produce and price "optimally." It synthesizes the majorfindings of an extensive theoretical literature on what constitutes optimality in various situationsand which regulatory mechanisms can be used to achieve it. It is the first text to provide aunified, modern, and nontechnical treatment of the field.The book includes models for regulatingoptimal output, tariffs, and surplus subsidy schemes, and presents all of the material graphically,with clear explanations of often highly technical topics.Kenneth E. Train is Associate AdjunctProfessor in the Department of Economics and Graduate School of Public Policy at the University ofCalifornia, Berkeley. He is also Principal of the firm Cambridge Systematics.Topics include: Thecost structure of natural monopoly (economies of scale and scope). Characterization of firstandsecond-best optimality. Surplus subsidy schemes for attaining first-best optimality. Ramsey pricesand the Vogelsang-Finsinger mechanism for attaining them. Time-ofuse (TOU) prices and Riordan'smechanisms for attaining the optimal TOU prices' Multipart and self-selecting tariffs, and Sibley'smethod for using self-selecting tariffs to achieve optimality. The Averch-Johnson model of howrate-of-return regulation induces inefficiencies. Analysis of regulation based on the firm's returnon Output, costs, or sales. Price-cap regulation. Regulatory treatment of uncertainty and its impacton the firm's behavior. Methods of attaining optimality without direct regulation (contestability,auctioning the monopoly franchise.)




Transport in Plants I


Book Description

When WILHELM RUHLAND developed his plan for an Encyclopedia of Plant Physiol ogy more than three decades ago, biology could still be conveniently subdivided into classical areas. Even within plant physiology, subdivisions were not too difficult to make, and general principles could be covered sufficiently in the two introductory volumes of the Encyclopedia on the physical and chemical basis of cell biology. But the situation changed rapidly even during the 12-year publication period of the Encyclopedia (1955-1967). The new molecular direction of genetics and structural research on biopolymers had an integrating effect on all other biological fields, including plant physiology, and it became increasingly difficult to keep previously distinct areas separated. RUHLAND'S overall plan included 18 volumes and about 22,000 pages. It covered the entire field of plant physiology, in most cases from the very beginning. But, as each volume appeared, it was clear that its content would soon be outdated.