Using R as a Simulation Platform
Focusing on mathematical modeling, this book covers essential concepts and the mathematics behind them, providing readers with practical implementation skills. Through numerous examples, it guides users in applying models using the open-source package R, ensuring a hands-on learning experience.
This second edition of "Approaches to Teaching Milton's" Paradise Lost addresses Milton in the light of the digital age, new critical approaches to his poem, and his continued presence in contemporary culture. It aims to help instructors enliven the teaching of "Paradise Lost" and address the challenges presented to students by the poema "the early modern syntax and vocabulary, the political and theological contexts, and the abounding classical references. The first part of the volume, "Materials," evaluates the many available editions of the poem, points to relevant reference works, recommends additional reading, and outlines useful audiovisual and online aids for teaching Milton's epic poem. The essays in the second part, "Approaches," are grouped by several themes: literary and historical contexts, characters, poetics, critical approaches, classrooms, and performance. The essays cover epic conventions and literary and biblical allusions, new approaches such as ecocriticism and masculinity studies, and reading Milton on the Web, among other topics.
Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis.