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Data-Driven Methods for Dynamic Systems
As experimental data sets have grown and computational power has increased, new tools have been developed that have the power to model new systems and fundamentally alter how current systems are analyzed. This book brings together modern computational tools to provide an accurate understanding of dynamic data. The techniques build on pencil-and-paper mathematical techniques that go back decades and sometimes even centuries. The result is an introduction to state-of-the-art methods that complement, rather than replace, traditional analysis of time-dependent systems. Data-Driven Methods for Dynamic Systems provides readers with methods not found in other texts as well as novel ones developed j...
Integrodifference Equations in Spatial Ecology
This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.
Data-Driven Science and Engineering
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Differential Equations
This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
A Genealogy of William Ball and His Descendants, 1783-1982
William Ball (1819-1903) immigrated from England to Northumberland County, Ontario, and married Jane Baker during or before 1843. Descendants lived in Ontario, Manitoba, Saskatchewan, Alberta and elsewhere. Some descendants immigrated to Pennsylvania and elsewhere in the United States.
The Koopman Operator in Systems and Control
This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a s...
The Discrete Nonlinear Schrödinger Equation
This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.
Elvis Presley
Elvis Presley, in his remarkable career, only toured outside the United States once and that was in 1957. On two separate tours, he performed concerts in three Canadian cities: Toronto, Ottawa and Vancouver. Notably, the Elvis concert in Vancouver at Empire Stadium on August 31, 1957, would be the final time the King performed in Canada. Over six decades have passed since those unforgettable concerts and fans (young and old) still remember when the King rocked Canada! The book contains interviews with fans and media members who attended Elvis' Canadian concerts; some had the opportunity to meet Elvis backstage. In addition, there are rare photos taken of Elvis in Vancouver, as well as photos of Elvis taken by fans who met the King in the 1960s. Also, there are insightful comments and reflections about Elvis: Canadian TV personality, Elaine "Lainey" Lui; Canadian music manager, Bruce Allen; legendary Vancouver disc jockey, Red Robinson (emcee of the King's 1957 Vancouver concert) and more. This is a book not only for Elvis fans, but fans of rock 'n' roll music and pop culture history. Long live the King!
Internally Heated Convection and Rayleigh-Bénard Convection
This Brief describes six basic models of buoyancy-driven convection in a fluid layer: three configurations of internally heated convection and three configurations of Rayleigh-Bénard convection. The author discusses the main quantities that characterize heat transport in each model, along with the constraints on these quantities. This presentation is the first to place the various models in a unified framework, and similarities and differences between the cases are highlighted. Necessary and sufficient conditions for convective motion are given. For the internally heated cases only, parameter-dependent lower bounds on the mean fluid temperature are proven, and results of past simulations and laboratory experiments are summarized and reanalyzed. The author poses several open questions for future study.
Nonlinear Dynamics and Chaos
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
