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, 2005 In this paper I present, through examples, the problem of the mathematical rigour of the bases of physics and explain what the utility of a precise mathematical perspective of the real world is. I also offer some arguments for the existing difference in the approach to the truth as understood by mathematicians and physicists.
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Mathematical Physics in Mathematics and Physics
2001An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center by H. Baumgartel and F. Lledo Modular invariants and subfactors by J. Bockenhauer and D. E. Evans On the PCT-theorem in the theory of local observables by H. J. Borchers and J.
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2013
Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research.
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Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research.
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Mathematical and Physical Papers
2011William Thomson, first Baron Kelvin (1824–1907), is best known for devising the Kelvin scale of absolute temperature and for his work on the first and second laws of thermodynamics, though throughout his 53-year career as a mathematical physicist and engineer at the University of Glasgow he investigated a wide range of scientific questions in areas ...
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Reflecting on mathematics and mathematical physics
2017Let me begin by expressing my appreciation to the Scientific Committee for awarding me the 2016Wigner Medal, and to those on the Organizing Committee who have made it possible for me to be here tonight as well as all of you who are sharing with me in this great honor.
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The Physicalization of Mathematics
The British Journal for the Philosophy of Science, 1994L'A. presente les conceptions de mathematiques realistes de Bigelow et Maddy pour discuter des caracteristiques de la pensee mathematique, et voir si il est possible de physicaliser cette science et ses ...
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1997
In his famous work “The Assayer”, which appeared in Florence in 1623, Galileo wrote: “Philosophy is written in this great book, which is continuously open in front of us (I am talking about Universe), but it cannot be understood if before we do not learn to understand the language and to know the letters in which it is written.
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In his famous work “The Assayer”, which appeared in Florence in 1623, Galileo wrote: “Philosophy is written in this great book, which is continuously open in front of us (I am talking about Universe), but it cannot be understood if before we do not learn to understand the language and to know the letters in which it is written.
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Nature, 1947
Carslaw and Jaeger have produced an interve esting book, different parts of which will meet the needs of mathematical physicists, experimental physicists, university teachers and design engineers. It is didactic rather than exploratory. In plan it owes much to Carslaw's “Introduction to the Mathematical Theory of the Conduction of Heat in Solids” which
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Carslaw and Jaeger have produced an interve esting book, different parts of which will meet the needs of mathematical physicists, experimental physicists, university teachers and design engineers. It is didactic rather than exploratory. In plan it owes much to Carslaw's “Introduction to the Mathematical Theory of the Conduction of Heat in Solids” which
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2001
In the last chapter the subject of our investigations is mathematics and its role as an auxiliary discipline for physics. It is undenied, I presume, that mathematics as a pure construction of the human mind has foundations of its own independent of physics and indeed of any other discipline.
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In the last chapter the subject of our investigations is mathematics and its role as an auxiliary discipline for physics. It is undenied, I presume, that mathematics as a pure construction of the human mind has foundations of its own independent of physics and indeed of any other discipline.
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Mathematics and physics in engineering
Electrical Engineering, 1939MANY definitions are given of an engineer. For the purpose of this discussion I would define an engineer as a scientist who uses physics and mathematics to promote the welfare of mankind. His use of physics and mathematics presupposes a thorough knowledge of them and demands that he be capable of:
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