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5 produkter
5 produkter
2 128 kr
Skickas inom 10-15 vardagar
This volume is the proceedings of a workshop to discuss the recent work on complex systems in physics and biology, its epistemological and cultural implications, and its effect for the development of these two sciences. The workshop is geared towards physicists, biologists, and science historians.
2 128 kr
Skickas inom 10-15 vardagar
This volume is the proceedings of a workshop to discuss the recent work on complex systems in physics and biology, its epistemological and cultural implications, and its effect for the development of these two sciences. The workshop is geared towards physicists, biologists, and science historians.
Variational Methods in Nonlinear Field Equations
Solitary Waves, Hylomorphic Solitons and Vortices
Inbunden, Engelska, 2014
538 kr
Skickas inom 10-15 vardagar
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.
Variational Methods in Nonlinear Field Equations
Solitary Waves, Hylomorphic Solitons and Vortices
Häftad, Engelska, 2016
538 kr
Skickas inom 10-15 vardagar
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.
How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers
Inbunden, Engelska, 2019
1 738 kr
Skickas inom 3-6 vardagar
"This text shows that the study of the almost-forgotten, non-Archimedean mathematics deserves to be utilized more intently in a variety of fields within the larger domain of applied mathematics."CHOICEThis book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.The book also provides a comprehensive exposition of the Theory of Numerosity, a new way of counting (countable) infinite sets that maintains the ancient Euclid's Principle: "The whole is larger than its parts". The book is organized into five parts: Alpha-Calculus, Alpha-Theory, Applications, Foundations, and Numerosity Theory.