Deformation theory
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In mathematics, deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions P , where is a small number, or vector of small quantities. The infinitesimal conditions are therefore the result of applying the approach of differential calculus to solving a problem with constraints. One can think of a structure that is not completely rigid, and that deforms slightly to accommodate forces applied from outside; this explains the name.Some characteristic phenomena are: the derivation of first-order equations by treating the quantities as having negligible squares; the possibility of isolated solutions, in that varying a solution may not be possible, or does not bring anything new; and the question of whether the infinitesimal constraints actually 'integrate', so that their solution does provide small variations. In some form these considerations have a history of centuries in mathematics, but also in physics and engineering.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130290726
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T5mm
- Jahr 2010
- EAN 9786130290726
- Format Fachbuch
- ISBN 978-613-0-29072-6
- Titel Deformation theory
- Untertitel Differential calculus, Physics, Geometry of numbers, Perturbation theory, Complex manifold, Algebraic variety, Kunihiko Kodaira, Donald C. Spencer, Zariski tangent space, Moduli space
- Gewicht 130g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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