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From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t
An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring o...
For over twenty years, JG Lenhart has used four principles to solve multi-million dollar problems and create predictive models. In "Modeling God", he quickly shows how these four principles (Modeletics(tm)) prove God's existence and identity. The rest of the book shows how all of God's characteristics are a result of God's identity. Understanding God's identity is a cause resulting in being able to take direction from God more clearly and more often. Religion and science are supposed to work together. Religion is a belief system (worldview). Science is not a worldview. Science is a tool for determining truth. Religion has always used science to determine truth. Throughout history, every mist...