The purpose of this companion volume to our text is to provide instructors (and eventu ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every technique which is discussed at the theoretical level. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. The subject of differential equations is particularly well-suited to self-study, since one can always verify by hand calculation whether or not a given proposed solution is a bona fide solution of the differential equation and initial conditions. Accordingly, we have not reproduced the steps of the verification process in every case, rather content with the illustration of some basic cases of verification in the text. As we state there, students are strongly encouraged to verify that the proposed solution indeed satisfies the requisite equation and supplementary conditions.

Introduction to Ordinary Differential Equations with Mathematica®: Solutions Manual

Computers & Technology

Pinsky, Mark

Gray, Alfred

Mezzino, Mike

Computer Science

Springer

<p>Electromagnetic fields and radiation are everywhere - near power lines, computers, radio and television signals, microwave ovens, toasters, alarm clocks and everyday electrical appliances. The media are warning of the possible hazards of EMFs and EMR and recent studies suggest that they cause leukaemia in children and breast and brain cancer in adults. This book gives facts about the dangers, revealing that most of us are exposed to radiation and electromagnetic fields everyday. It advises which levels to worry about, and how to minimize the risks. It is also a sourcebook for citizens seeking action from utility companies, employers, manufacturers and governmental agencies.</p>

EMF Book: What You Should Know About Electromagnetic Fields, Electromagnetic Radiation & Your Health

Medical Books

Grand Central Publishing

<p>This book presents the most comprehensive and systematic description currently available of both classical and novel theories of cloud processes, providing a much-needed link between cloud theory, observation, experimental results, and cloud modeling. This volume shows why and how modern models serve as a major tool of investigation of cloud processes responsible for atmospheric phenomena, including climate change. It systematically describes classical as well as recent advancements in cloud physics, including cloud-aerosol interaction; collisions of particles in turbulent clouds; and the formation of multiphase cloud particles. As the first of its kind to serve as a practical guide for using state-of-the-art numerical cloud models, major emphasis is placed on explaining how microphysical processes are treated in modern numerical cloud resolving models. The book will be a valuable resource for advanced students, researchers and numerical model designers in cloud physics, atmospheric science, meteorology, and environmental science.</p>

Physical Processes in Clouds and Cloud Modeling

Science & Math

Khain, Alexander P.

Earth Sciences

Cambridge University Press

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