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Parliamentary Papers
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Nonlinear Stability and Bifurcation Theory
Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlin ear problems has been either avoided completely or is confined to special courses where a great number of different ad-hoc methods are presented. The wide-spread believe that no straightforward solution procedures for nonlinear problems are available prevails even today in engineering cir cles. Though in some courses it is indicated that in principle nonlinear problems are solveable by numerical methods the treatment of nonlinear problems, more or less, is considered to be an art or an intellectual game. A good example for this statement was the sea...
Competition and Succession in Pastures
This book describes how competition between plant species, and succession in plant ecosystems, operate in grasslands and grazed pastures, both natural and sown. It discusses how competition both affects botanical structure, productivity and persistence of pastures and is itself regulated by biological, environmental and management factors, such as grazing animals. The book also examines the ways in which competition and succession are analysed, evaluated and measured, and brings to the agricultural arena the considerable progress made in understanding the principles of competition from theoretical and experimental ecology.
A Dictionary of Slang and Unconventional English
The definitive work on the subject, this Dictionary - available again in its eighth edition - gives a full account of slang and unconventional English over four centuries and will entertain and inform all language-lovers.
Current Algebras and Groups
Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode.
