The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability.

Differential equations are vital to science, engineering and mathematics, and this book enables the reader to develop the required skills needed to understand them thoroughly. The authors focus on constructing solutions analytically and interpreting their meaning and use MATLAB extensively to illustrate the material along with many examples based on interesting and unusual real world problems. A large selection of exercises is also provided.

Robert Knapp seeks out the ordinary people who formed the fabric of everyday life in ancient Rome and the outlaws and pirates who lay beyond it. They are the housewives, prostitutes, freedmen, slaves, soldiers, and gladiators who lived commonplace lives and left almost no trace in history - until now. But their words are preserved in literature, letters, inscriptions and graffiti and their traces can be found in the histories, treatises, plays and poetry created by the elite.

This graduate level textbook offers graduate students a rapid introduction to the language of the subject of ordinary differential equations followed by a careful treatment of the central topics of the qualitative theory. In addition, special attention is given to the origins and applications of differential equations in physical science and engineering.

This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. This book strictly presents numerical analysis as a part of the more general field of scientific computing. Important algorithmic concepts are explained down to questions of software implementation. For initial value problems, a dynamical systems approach is used to develop Runge-Kutta, extrapolation, and multistep methods. For boundary value problems including optimal control problems, both multiple shooting and collocation methods are worked out in detail.

The backbone of the story is Angus Buchan - at the 2009 Mighty Men Conference - sharing his simple but rock solid faith with a few hundred thousand men. We experience his on-stage heart attack and the resulting personal insight he received from God regarding his own ministry. In the vast crowd we find three typical men - all in the process of being touched by the Holy Spirit through Angus's words. We find Andre Cloete - a twenty something man who became ensnared in alcohol abuse and a wasted life - due to his broken relationship with his 'strictly religious' and absent father. Then there is John Peters - a middle aged panel beater from Bethlehem who's business, family relationships and health have been spiraling down to the brink of collapse. Lastly we meet Lucky Nzimande - a young, black criminal who naively attempts to hi-jack the vehicle of two ex special-forces policemen en route to the Mighty Men Conference. The film tells the dramatic story of the three men's journeys and ...

Well known trader, bestselling author, and founder of Marketwise Trading School, David Nassar is offering his 5-day/$3000 trading course in a comprehensive book/DVD package. Whether you're a novice or an active trader, this full course lets you benefit from the methods and expertise Nassar has perfected over the past decade. He covers everything from introductory to advanced methods, including technical analysis, charting patterns, risk management, Fibonacci, pivot strategies, swing trading, and short selling.

Building on the concept of The Spaghetti Sauce Gourmet and The Gourmet’s Guide to Cooking with Wine, this book shows how to use beer, ale, stouts, ciders, and nonalcoholic brews such as ginger and root beer as a convenience ingredient that will add nuanced flavor and earthy flair to your cooking and baking repertoire.

NASA unlocks their vaults and lends their footage to the Discovery Channel to form this fascinating HD series. Narrated by Gary Sinise, this collection of training videos, home movies and more detail some of the first missions to the moon.