Results 41 to 50 of about 1,832,566 (208)
Towards a Hermeneutic Categorical Mathematics or why Category theory goes beyond Mathematical Structuralism [PDF]
Category theory provides an alternative to Hilbert's Formal Axiomatic method and goes beyond Mathematical ...
arxiv
Categories without structures [PDF]
The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics. While structural mathematics studies invariant forms (Awodey) categorical mathematics studies covariant transformations which, generally, don t ...
arxiv
Modern Mathematical Physics: what it should be? [PDF]
Personal view of author on goals and content of Mathematical Physics.
arxiv
Survey of mathematical foundations of QFT and perturbative string theory [PDF]
Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments. It serves as an introduction to the more detailed collection "Mathematical Foundations of Quantum Field Theory and Perturbative String Theory".
arxiv
Despite the growing research base on preservice teacher noticing of children’s mathematical thinking in video, few, if any studies consider the complex nature of the video representations themselves.
Alison Castro Superfine, John Bragelman
semanticscholar +1 more source
Topological Aspects of Gauge Theories [PDF]
To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.
arxiv
Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method [PDF]
2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is ...
Bedratyuk, Leonid
core
Courseware have an important role in the achievement of the objectives of education. Nevertheless, it does not mean any learning resources can be used for a type of learning. The teacher should provide and develop materials appropriate to the characteristics and the social environment of its student.
openaire +4 more sources
Adeles in Mathematical Physics [PDF]
Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
arxiv
String Theory and Math: Why This Marriage May Last [PDF]
String theory is changing the relationship between mathematics and physics. The central role is played by the phenomenon of duality, which is intrinsic to quantum physics and abundant in string theory.
arxiv