Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.
A new Emperor sits on the throne of Justava, one who many now suspect has lead the Necromancers from the very beginning. The Masked Man is cunning and ruthless, and it will take more than a single victory for the Resistance to overthrow his tyrannical rule. In an attempt to expand his army, Brenik divides his forces, sending Nalia and Yukov to the desert lands of Al Quidin whilst he and Ornith venture into the very heart of Resgard in search of a weapon that could change the fortunes of the war. In the midst of all the fighting arrives Torrin Welfast, an explorer from a distant country. Venturing into a land at war, Torrin comes across an old man who claims to be hiding a power that dates back to the very founding of Justava and that endangers the country far more than the civil war that rages over the land. Tasked with destroying this artefact, Torrin embarks on a quest that sees him battling the Emperor and his dark past, confronting his innermost fears and desires, and that will ultimately decide the fate of Justava and the world around her.
This monograph presents the basic mathematics underlying the subject of celestial mechanics. Chapter 1 formulates the central force problem and then deals with Kepler's first and second laws, orbits under non-Newtonian attraction, elements of an orbit, the two-body system, the solar system, and disturbed motion. Chapter 2 introduces the n-body problem. Included in Chapter 2 are the Lagrange—Jacobi formula, Sundman's theorem on total collapse, the three-body problem, and Lagrange's and Euler's solutions to the three-body problem. Chapter 3 is an introduction to Hamilton-Jacobi Theory.
“First published in 1955 to wide acclaim, T. Harry Williams’ P. G. T. Beauregard is universally regarded as “the first authoritative portrait of the Confederacy’s always dramatic, often perplexing” general (Chicago Tribune). Chivalric, arrogant, and of exotic Creole Louisiana origin, Beauregard participated in every phase of the Civil War from its beginning to its end. He rigidly adhered to principles of war derived from his studies of Jomini and Napoleon, and yet many of his battle plans were rejected by his superiors, who regarded him as excitable, unreliable, and contentious. After the war, Beauregard was almost the only prominent Confederate general who adapted successfully to the New South, running railroads and later supervising the notorious Louisiana Lottery. This paradox of a man who fought gallantly to defend the Old South and then helped industrialize it is the fascinating subject of Williams’ superb biography.”-Print ed.
* How do teachers assess the ordinary classroom work of young children? * How do pupils understand and respond to that assessment - does it help or hinder their development? * How can classroom assessment be developed to be more effective in assisting the learning process? This book brings together various perspectives from the fields of assessment policy development, theories of learning and the sociology of the classroom. The book explores how the assessment of young children is carried out in classrooms and with what consequences for their understanding of schooling and the development of their learning in particular subject areas. The book is based on extensive video and audio tape recordings of classroom assessment 'incidents' along with interviews of teachers and pupils about the process of assessment.
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