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"This book provides a practical introduction to Computational Finance, formulating methods and algorithms that can be implemented and used. The first part presents basic features of options and mathematical models and the foundations of simulation methods such as Monte Carlo methods. The main topic of the book is the valuation of options based on the partial differential equations and inequalities of Black and Scholes. Basic approaches of finite-difference...
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"To real baseball fans, statistics are indispensable, and inextricably tied to understanding and enjoying the game. But how useful are ordinary baseball stats as tools for evaluating a player, choosing a strategy, or predicting a winner?" "In this look at the numbers and the game, Jim Albert and Jay Bennett examine just what we learn, and just what we think we learn, from baseball statistics. The authors consider the key questions every serious fan...
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"Part of the International Series in Mathematics Mathematical Modeling for the Scientific Method is intended for the sophomore/junior-level student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/or medicine. It clarifies the connection between deductive and inductive reasoning as used in Mathematics and Science and urges students to think critically about concepts and applications....
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"Illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as...
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"Beginning with one of the most remarkable ecological collapses of recent time, that of the passenger pigeon, Hadlock goes on to survey collapse processes across the entire spectrum of the natural and man-made world. He takes us through extreme weather events, technological disasters, evolutionary processes, crashing markets and companies, the chaotic nature of Earth's orbit, revolutionary political change, the spread and elimination of disease, and...
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"Provides students with a solid foundation in climate science, with which to understand global warming, natural climate variations, and climate models. As climate models are one of our primary tools for predicting and adapting to climate change, it is vital we appreciate their strengths and limitations. Also key is understanding what aspects of climate science are well understood and where quantitative uncertainties arise. This textbook will inform...
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This graduate-level textbook is intended for PhD students, advanced MBA students, and industry professionals interested in the econometrics of financial modeling. The book covers the entire spectrum of empirical finance, including the predictability of asset returns, tests of the random walk hypothesis, the microstructure of securities markets, event analysis, the Capital Asset Pricing Model and the Arbitrage Pricing Theory, the term structure of...
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"Combining history, astronomy, and philosophy, this insightful book demonstrates how mathematics evolved and was used to explain planetary movements based on centuries of manual observations and careful data collection. Historical and social contexts behind the mathematical advances are provided, and the history includes the larger political and philosophical environment that affected the lives of the contributing scientists. A prime objective is...
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The Big Bang theory--the leading explanation for the origin of the universe--posits that space and time sprang into being about 14 billion years ago in a hot, expanding fireball of nearly infinite density. Over the last three decades, the theory has repeatedly had to be revised to address such issues as how galaxies and stars first formed and why the expansion of the universe is speeding up--let alone what caused the Big Bang in the first place. This...
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"A groundbreaking book providing a new take on three of cosmology's most profound questions: What, if anything, came before the Big Bang? What is the source of order in our universe? What is the universe's ultimate future? Current understanding of our universe dictates that all matter will eventually thin out to zero density, with huge black holes finally evaporating away into massless energy. Roger Penrose--one of the most innovative mathematicians...
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"Scientists have used models for hundreds of years as a means of describing phenomena and as a basis tor further analogy. In Scientific Models in Philosophy of Science, Daniela M. Bailer-Jones assembles an original and comprehensive philosophical analysis of how models have been used and interpreted in both historical and contemporary contexts." "Bailer-Jones delineates the many forms models can take (ranging from equations to animals; from physical...
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As the world faces ever more complex and demanding environmental and social challenges, the need for interdisciplinary models and practical guidance becomes acute. The human ecosystem model described in this landmark book provides a groundbreaking response. Broad in scope, detailed in method, at once theoretical and applied, this grand study offers an in-depth understanding of human ecosystems and tools for action. The authors draw from Goethe's Faust,...
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