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Mathematics for Dynamic Modeling
This new edition of Mathematics for Dynamic Modeling updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines. The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest. Contains a new chapter on stability of dynamic models Covers many realistic applications from a wide variety of fields in an accessible manner Provides a broad introduction to the full scope of dynamical systems Incorporates new developments such as new models for chemical reactions and autocatalysis Integrates MATLAB throughout the text in both examples and illustrations Includes a new introduction to nonlinear differential equations
The Strange Ways of Chance
This book is a laypersons introduction to the mathematics of chance but with just a little of the math. The idea is to help the reader untangle the plethora of often misleading data and sometimes dubious claims that appear in the world of politics, finance, medicine and public health, sports, criminal trials, and the like. It is relevant to current events with many quotes from newspaper articles. This is not a textbook, and no special requirements are assumed on the part of the reader other than an interest in public affairs, curiosity about how to interpret the many statements that he or she confronts in the media, and a willingness to engage in some quantitative reasoning. The idea is to survey the conundrums and confusion engendered by the intrusion of chance into the public discourse where the consequences can be counter-intuitive and unexpected. To keep it simple, the few technicalities that arise are explained in the notes at end of each chapter, but this material is purely optional and is intended for those readers who are undaunted by the notation.
What Is Random?
In this fascinating book, mathematician Ed Beltrami takes a close enough look at randomness to make it mysteriously disappear. The results of coin tosses, it turns out, are determined from the start, and only our incomplete knowledge makes them look random. "Random" sequences of numbers are more elusive, but Godels undecidability theorem informs us that we will never know. Those familiar with quantum indeterminacy assert that order is an illusion, and that the world is fundamentally random. Yet randomness is also an illusion. Perhaps order and randomness, like waves and particles, are only two sides of the same (tossed) coin.
Mathematics for Dynamic Modeling
This new edition of Mathematics for Dynamic covers tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. Each chapter includes exercises, many of which expand on the material in the text.
Mathematical Models for Society and Biology
Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also n...
An Algorithmic Approach to Nonlinear Analysis and Optimization
An Algorithmic Approach to Nonlinear Analysis and Optimization
Digressions in Elementary Probability
This book is about the interplay between chance and order, but limited to mostly binary events, such as success/failure as they occur in a diversity of interesting applications. The goal is to entertain and instruct with topics that range from unexpected encounters with chance in everyday experiences, to significant “must know” insights regarding human health and other concerns in the social sciences. The first section provides the tools for being able to discuss random sequences with hints at what is to follow. This is followed by another surprising and, to some extent, bizarre result known as Stein’s Paradox, which is applied to baseball. The troublesome topic of disease clusters, na...
Models for Public Systems Analysis
Models for Public Systems Analysis considers the mathematical model formulation to improve the delivery of urban service systems, such as sanitation, fire, police, and ambulances. This book is composed of five chapters that demonstrate the translation of significant societal problems into a mathematical framework, as well as the advantages and limitations of these models. Chapter 1 deals with the issue of plant location and siting questions, with a brief overview of water resource modeling, while Chapter 2 provides set-covering models for manpower scheduling as a direct outgrowth of the author's experience with the Sanitation Department in New York City. Chapters 3 and 4 describe the deliver...
