Results 31 to 40 of about 2,764,315 (203)
Mathematics in Hands-On Science for Liberal Arts Students [PDF]
, 2000 We describe a number of experiments from the courses called, General Science 9, part of the science program for elementary education majors at Brooklyn College. These courses provide hands-on learning experiences for students who are insecure and weak in
Sobel, M. I.
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Towards a Hermeneutic Categorical Mathematics or why Category theory goes beyond Mathematical Structuralism [PDF]
arXiv, 2006 Category theory provides an alternative to Hilbert's Formal Axiomatic method and goes beyond Mathematical ...
arxiv
Topological Entropy and Algebraic Entropy for group endomorphisms [PDF]
, 2012 The notion of entropy appears in many fields and this paper is a survey about entropies in several branches of Mathematics. We are mainly concerned with the topological and the algebraic entropy in the context of continuous endomorphisms of locally ...
Bruno, Anna Giordano, Dikranjan, Dikran
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Discrete Mathematics/Number Theory
, 2017 Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics such as integers, graphs, and statements do not vary smoothly in this way, but have distinct, separated values ...
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Categories without structures [PDF]
arXiv, 2009 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
The Kronecker-Weber Theorem: An Exposition [PDF]
, 2013 This paper is an investigation of the mathematics necessary to understand the Kronecker-Weber Theorem. Following an article by Greenberg, published in The American Mathematical Monthly in 1974, the presented proof does not use class field theory, as the ...
Verser, Amber
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A Mathematical Theory of Origami Numbers and Constructions
, 1999 We give a hierarchial set of axioms for mathematical origami. The hierachy gives the fields of Pythagorean numbers, first discussed by Hilbert, the field of Euclidean constructible numbers which are obtained by the usual constructions of straightedge and compass, and the Origami numbers, which is also the field generated from the intersections of ...
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Mathematical Models in Schema Theory [PDF]
arXiv, 2005 In this paper, a mathematical schema theory is developed. This theory has three roots: brain theory schemas, grid automata, and block-shemas. In Section 2 of this paper, elements of the theory of grid automata necessary for the mathematical schema theory are presented.
arxiv
Poincaré and the idea of a group [PDF]
, 2012 In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called ...
Gray, Jeremy
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Parasitology, 1992 The paper describes a mathematical model for canine leishmaniasis and presents formulae which can be used to estimate the basic reproduction number,R0. The primary concern has been to devise methods of estimation which make best use of those data most easily obtained by fieldwork, e.g. surveys of prevalence in dog (by age) and sandfly populations.
Günther Hasibeder +2 more
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