One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.
Focusing on basics of algebraic theory, this text presents detailed explanations of integral functions, permutations, and groups as well as Lagrange and Galois theory. Many numerical examples with complete solutions. 1930 edition.
French photographer Frédéric Lagrange began taking pictures of Mongolia in 2001. Since then, he has taken 12 trips to the country over the course of 15 years, visiting in all 4 seasons and traveling through the nation's vastly different regions. Frédéric Lagrange: Mongolia is the result: a visual portrait of Mongolia and its people, captured in stunning focus. Designed in an oversized format to maximize the impact of the smallest detail--from the warp and weft of a colorful textile or the flushed cheeks of a baby to the sandy dunes of a desert.
The Wide syndrome It is the not-too-distant future. The space colony Lagrangia, on the moon's orbit, is an idyllic utopia of parks, mountains, streams and blue skies. Lulled by its beauty, citizens can sometimes forget that the 'stream' are recycled water, and the 'blue skies' are titanium strips bound together. But there are a few who can never forget. There are the victims of the Wide syndrome - a terrifying form of contagious, claustrophobic madness that can strike anyone - at any time - on Lagrange Five.
“An important reminder of the lessons Madiba taught us all.”—President Bill Clinton There are numerous books about Nelson Mandela, but Good Morning, Mr. Mandela is the first by a trusted member of his inner circle. In addition to offering a rare close portrait, Zelda la Grange pays tribute to Madiba as she knew him—a teacher who gave her the most valuable lessons of her life. Growing up in apartheid South Africa, La Grange, a white Afrikaner, feared the imprisoned Nelson Mandela as “a terrorist.” Yet she would become one of his most devoted associates for almost two decades. Inspiring and deeply felt, this book honors a great man’s lasting gift.
Analyses Lagrange multiplier theory and demonstrates its impact on the development of numerical algorithms for variational problems in function spaces.
Joseph-Louis Lagrange (1736-1813), one of the notable French mathematicians of the Revolutionary period, is remembered for his work in the fields of analysis, number theory and mechanics. Like Laplace and Legendre, Lagrange was assisted by d'Alembert, and it was on the recommendation of the latter and the urging of Frederick the Great himself that Lagrange succeeded Euler as the director of mathematics at the Prussian Academy of Sciences in Berlin. The two-volume Mécanique analytique was first published in 1788; the edition presented here is that of 1811-15, revised by the author before his death. In this work, claimed to be the most important on classical mechanics since Newton, Lagrange developed the law of virtual work, from which single principle the whole of solid and fluid mechanics can be derived.
Differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena. Very often, the starting point for such studies is a variational problem formulated for a convenient Lagrangian. From a formal point of view, a Lagrangian is a smooth real function defined on the total space of the tangent bundle to a manifold satisfying some regularity conditions. The main purpose of this book is to present: (a) an extensive discussion of the geometry of the total space of a vector bundle; (b) a detailed exposition of Lagrange geometry; and (c) a description of the most important applications. New methods are described for construction geometrical models for applications. The various chapters consider topics such as fibre and vector bundles, the Einstein equations, generalized Einstein--Yang--Mills equations, the geometry of the total space of a tangent bundle, Finsler and Lagrange spaces, relativistic geometrical optics, and the geometry of time-dependent Lagrangians. Prerequisites for using the book are a good foundation in general manifold theory and a general background in geometrical models in physics. For mathematical physicists and applied mathematicians interested in the theory and applications of differential-geometric methods.
The essence of this work is the control of electromechanical systems, such as manipulators, electric machines, and power converters. The common thread that links together the results presented here is the passivity property, which is at present in numerous electrical and mechanical systems, and which has great relevance in control engineering at this time. Amongst other topics, the authors cover: Euler-Lagrange Systems, Mechanical Systems, Generalised AC Motors, Induction Motor Control, Robots with AC Drives, and Perspectives and Open Problems. The authors have extensive experience of research and application in the field of control of electromechanical systems, which they have summarised here in this self-contained volume. While written in a strictly mathematical way, it is also elementary, and will be accessible to a wide-ranging audience, including graduate students as well as practitioners and researchers in this field.