Sattinger, David H.Overview
Publication Timeline
Most widely held works by
David H Sattinger
Lie groups and algebras with applications to physics, geometry, and mechanics
by David H Sattinger
(
Book
)
23 editions published between 1986 and 2010 in 3 languages and held by 628 WorldCat member libraries worldwide This is an introductory text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. The material is presented in a way that is at once intuitive, geometric, applications oriented, and, most of the time, mathematically rigorous. It is intended for students and researchers without an extensive background in physics, algebra, or geometry. In addition to an exposition of the fundamental machinery of the subject, there are many concrete examples that illustrate the role of Lie groups and algebras in various fields of mathematics and physics: elementary particle physics, Riemannian geometry, symmetries of differential equations, completely integrable systems, and bifurcation theory
Nonlinear problems in the physical sciences and biology; proceedings of a Battelle Summer Institute, Seattle, July 328, 1972
by Ivar Stakgold
(
Book
)
18 editions published between 1973 and 2008 in English and German and held by 585 WorldCat member libraries worldwide
Group theoretic methods in bifurcation theory
by David H Sattinger
(
Book
)
22 editions published between 1978 and 1979 in English and German and held by 559 WorldCat member libraries worldwide
Topics in stability and bifurcation theory
by David H Sattinger
(
Book
)
24 editions published between 1972 and 2008 in English and German and held by 548 WorldCat member libraries worldwide
Branching in the presence of symmetry
by David H Sattinger
(
Book
)
16 editions published between 1983 and 1988 in English and Undetermined and held by 356 WorldCat member libraries worldwide A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field
Solitons in physics, mathematics, and nonlinear optics
by Peter J Olver
(
Book
)
10 editions published in 1990 in English and held by 264 WorldCat member libraries worldwide This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 198889 IMA year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry. The present contributions represent only a fraction of these areas, but give the reader a good overview of several current research directions, including optics, fluid dynamics, inverse scattering, cellular automata, Bäcklund equations, symmetries and Hamiltonian systems
Inverse scattering and applications
by AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Inverse Scattering on the Line
(
Book
)
13 editions published in 1991 in English and held by 245 WorldCat member libraries worldwide
Scaling limits and models in physical processes
by Carlo Cercignani
(
Book
)
11 editions published in 1998 in English and held by 203 WorldCat member libraries worldwide This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of nonequilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger operator. The book provides an uptodate and detailed overview to this very active area of research and is intended as an accessible introduction for nonspecialists and graduate students in mathematics, physics and engineering
Selected papers of Norman Levinson
by Norman Levinson
(
Book
)
3 editions published in 1998 in English and held by 97 WorldCat member libraries worldwide
Les symetries des equations et leurs applications dans la mecanique et la physique
by David H Sattinger
(
Book
)
3 editions published in 1980 in French and held by 26 WorldCat member libraries worldwide
Fredholm determinants and the [tau] function for the KadomtsevPetviashvili hierarchy
by Christoph Pöppe
(
Book
)
2 editions published in 1987 in German and held by 4 WorldCat member libraries worldwide
Selected papers of Norman Levinson
by Norman Levinson
(
Book
)
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
Selected papers of Norman Levinson
by Norman Levinson
(
Book
)
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
Proceedings ... nonlinear problems in the physical sciences and biology
by Ivar Stakgold
(
Book
)
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
The YangBaxter equations and differential identities
by University of Minnesota
(
Book
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
Integrable systems
by David H Sattinger
(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Gauge Theories and Spontaneous Symmetry Breaking
(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide This report summarizes attempts to understand in what way spontaneous symmetry breaking arose in the context of guage field theories of elementary particles. The main interest was in knowing whether techniques of bifurcation theory could be applied to the problem of spontaneous symmetry breaking in gauge field theories. It was felt that the symmetry breaking used by the physicists (a procedure known as the Higgs mechanism) is not precisely a bifurcation problem in the usual sense of the term, but more a matter of fixing a guage and thereby reducing the amount of symmetry of the problem. In other words, it is not really a matter of 'spontaneous' symmetry breaking
The YangBaxter equation for integrable systems
by University of Minnesota
(
Book
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
Solitons in physics, mathematics and nonlinear optics : Proceedings of two workshops [...] of the
by IMA programs on nonlinear waves
(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Partial differential equations of applied mathematics : lecture notes, Math 713, Fall 2003
by David H Sattinger
(
Book
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide more
fewer
Audience Level
Related Identities
Associated Subjects
Bifurcation theory Differential equations Differential equations, Partial Differential equations, PartialNumerical solutions Evolution equations, Nonlinear Functional equations Inverse problems (Differential equations) Lie algebras Lie groups Mathematical analysis Mathematical physics Mathematicians Mathematics Maxima and minima Nonlinear optics Nonlinear theories Physics Representations of groups Scaling laws (Statistical physics) Scattering (Mathematics) Singularities (Mathematics) Solitons Stability Symmetry groups Transport theory United States

Alternative Names
Sattinger, D. H.
Sattinger, D. H. 1940
Sattinger, D. H. (David H.)
Sattinger, D. H. (David H.), 1940
Sattinger, David
Languages
Covers
