Results 231 to 240 of about 1,014,243 (274)

Mathematical Methods for Physics

2022
This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras ...
Esko Keski-Vakkuri, Claus Montonen, Marco Panero   +2 more
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A group theory of group theory: Collaborative mathematics and the ‘uninvention’ of a 1000-page proof

Social Studies of Science, 2012
Over a period of more than 30 years, more than 100 mathematicians worked on a project to classify mathematical objects known as finite simple groups. The Classification, when officially declared completed in 1981, ranged between 300 and 500 articles and ran somewhere between 5,000 and 10,000 journal pages. Mathematicians have hailed the project as one
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The Mathematics of Symmetry: Group Theory

1995
The conceptual approach to symmetry, which is the subject of Chapters 8–10, is the best approach for understanding the concepts involved in symmetry and the significance of symmetry in science. (The reader choosing the “concept” track will have finished reading those chapters at this point.) Such understanding is, indeed, very important.
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The Reasonable Effectiveness of Mathematics: Partial Structures and the Application of Group Theory to Physics

Synthese, 2000
Physicists, philosophers, and mathematicians often discuss E. Wigner's idea of ``unreasonable'' effectiveness of mathematics in physics. As an example of unexpected effectiveness, Wigner mentioned the successes of group theory -- a theory that was originally developed to deal with symmetric situations -- in physical situations with no exact symmetry ...
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The Role of Fourier Series in Mathematics and in Signal Theory

International Journal of Research in Undergraduate Mathematics Education, 2021
Frode RØnning
exaly  

Renormalization Theory and Group in Mathematical Physics

1988
A description of how to define in a mathematically rigorous way the beta function, well known from the nonrigorous perturbative formulation of quantum field theory. The definition is based on a kind of effective potentials, for which a "tree expansion'' is proposed. It is also described how to use such a beta function in order to rigorously construct a
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Group Theory and Applied Mathematics

Science, 1929
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Should Type Theory Replace Set Theory as the Foundation of Mathematics?

Global Philosophy, 2023
Thorsten Altenkirch
exaly  

An activity theory perspective on contradictions in flipped mathematics classrooms at the university level

International Journal of Mathematical Education in Science and Technology, 2020
Helge Fredriksen, Said Hadjerrouit
exaly  

Examining the dynamics of mathematics anxiety, perceived cost, and achievement: A control-value theory approach

Contemporary Educational Psychology, 2023
Sufen Chen
exaly