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...r|dean}} and is a co-author of two textbooks on [[calculus]] and dynamical systems. ...ics, areas within dynamical systems that examine the long-term behavior of systems through a mathematical lens. She is also involved in initiatives that suppo ...

...ial development of the study of [[quantum group]]s, the development of the theory of <math>\tau</math>-functions for the KP ...983).</ref> and development of the theory of [[isomonodromic deformation]] systems for rational covariant derivative operators.<ref name="JMU"> M. Jimbo, T. ...

...(born June 16, 1940) is an American mathematician who researches dynamical systems. ...ring points were introduced by [[George Birkhoff]] to describe dissipative systems (with chaotic behavior). In the case of a dynamical system given by a map ' ...

==Books== The books published in this series include:<ref>{{Official|https://www.springer.com/s ...

==Books== ...{r|hardy}} and ''<math>C_0</math>-groups, commutator methods and spectral theory of <math>N</math>-body Hamiltonians'' (Birkhäuser, 1996).{{r|c0g}} ...

...l equations and topological considerations in the integrability of dynamic systems. In 1979 he proved that for 2-dimensional manifolds <math>M</math> with gen ...ng=eng Topological obstructions to the integrability of natural mechanical systems], Doklady Akad. Nauka SSSR, vol. 249, 1979, pp.&nbsp;1299–1302 (English tra ...

...thor2=Kogut, J. B.|title=Hamiltonian formulation of Wilson's lattice gauge theory|journal=Physical Review D|volume=11|issue=2|year=1975|pages=395–408|doi=10. ...tists|volume=42|issue=1|year=1986|pages=27–30|url=https://books.google.com/books?id=owYAAAAAMBAJ&pg=PA27|doi=10.1080/00963402.1986.11459308|bibcode=1986BuAt ...

...rino {{!}} Introduction to Quantum Mechanics, Quantum Statistics and Field Theory|website=didattica.polito.it|access-date=2017-09-26}}</ref><ref>{{Cite web|u # The [[Path integral formulation|Path Integral Formulation]] of Quantum Theory ...

...rt]] and [[Andrzej Schinzel]], who applied them to certain problems in the theory of [[differential equation]]s.{{r|ph}} They are finite sequences of symbols ...r shows; the third concerns higher orders. The fourth chapter applies this theory to line segments, ...

...Technology]]</ref> is a type of integral with respect to a [[fuzzy measure theory|fuzzy measure]]. ...s: Some Defects and Their Compensation |journal=IEEE Transactions on Fuzzy Systems |date=December 2016 |volume=24 |issue=6 |pages=1668–1672 |doi=10.1109/TFUZZ ...

...alker's early mathematical research, in the 1960s and 1970s, concerned the theory of [[abelian group]]s. In the 1990s, her interests shifted to [[fuzzy logic ==Books== ...

...2nd degree in Russia) with thesis ''Completely integrable models of field theory and statistical mechanics''. ...and gave a talk titled ''Integrable models in classical and quantum field theory''. ...

...group extension |id=group+extension}}</ref><ref>Saunders MacLane, {{google books|title=Homology|id=ujRqCQAAQBAJ|page=103|text=factor system}}</ref> It consi ...91|isbn= 9783642728990|doi=10.1007/978-3-642-72899-0}}</ref>{{rp|[{{google books|id=ve_vCAAAQBAJ|pg=PA31|text=fantor+system|plainurl=1}} 31]}} is a map ''c' ...

..., [[Maxwell relations|Maxwell's relations]], [[stability of thermodynamics systems]], and [[first-order phase transition]]s. As the author lays down the basic ** Chapter 3: Some Formal Relationships, and Sample Systems ...

...f Functions of mathematical physics and their eigenvalues, [[Quantum field theory]], [[Periodic instantons]], [[Supersymmetry]] ...h>1/r^4</math> (cf. modified Mathieu equation) and application to [[string theory]].<ref>H.H. Aly, H.J.W. Müller-Kirsten and N. Vahedi-Faridi, J. Math. Phys. ...

...Numbers Interesting''''' is a book in [[popular mathematics]] and [[number theory]] by [[Constance Reid]]. It was originally published in 1955 by the Thomas ..."housewife and free-lance writer".{{r|gibb}} She became known for her many books about mathematics and mathematicians, aimed at a popular audience, of which ...

...ve operators and the linear Krein-Rutman theorem|title=''In:'' Fixed point theory|series=Lecture Notes in Mathematics|pages=309–330|publisher=Springer|locati ...2|title=Some remarks on a conjecture in parameter adaptive control|journal=Systems & Control Letters|volume=3|issue=5|year=1983|pages=243–246|issn=0167-6911|d ...

...ne or in collaboration,<ref>F. Diacu, Near-Collision Dynamics for Particle Systems with Quasihomogeneous Potentials, [[Journal of Differential Equations]], 12 ...vel approach to the ''n''-body problem in curved space, blending dynamical systems, differential geometry, and geometric and celestial mechanics in a lucid, i ...

...n is most well-known for his role in establishing the use of [[probability theory]] in [[artificial intelligence]] and in the development of the field [[Baye ...nce appeared in his 1989 text ''Probabilistic Reasoning in Expert Systems: Theory and Algorithms''.<ref name="neoexpert" /> ...

...der [[G. D. Birkhoff]] with thesis ''Double Pendulum and Similar Dynamical Systems''.<ref>{{MathGenealogy|id=4955}}</ref> Apart from a period of service with * 1935: "On reversible dynamical systems", [[Transactions of the American Mathematical Society]] 37(1): 51–59, {{doi ...