Chris Talbot | University of Huddersfield (original) (raw)
Retired academic (in engineering mathematics). In retirement have studied the history of science, especially the writings of David Bohm and Boris Hessen.
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The Soviet historian and philosopher of science Boris Hessen (English spelling also Gessen) is we... more The Soviet historian and philosopher of science Boris Hessen (English spelling also Gessen) is well known for the paper “On the Social and Economic Roots of Newton’s Principia” he gave in 1931 to the Second International Congress of the History of Science in London. Its focus on the socio-economic aspects of the development of science – later called “externalism”– was regarded as groundbreaking. We present here an English translation of a lecture he gave in Moscow in April 1936, recently discovered in Russian archives, and believed to be one of his last works. He was arrested in August that year, admitting to “participation in counter-revolutionary Trotskyist activity” and “animosity toward Comrade Stalin”. He was subject to torture and eventually executed in December, after denying “creating a terrorist cell at Moscow State University”. The lecture shows that despite being under enormous psychological pressure he coninued working on the history of physics but also returned to the philosophical questions of his earlier writings. We give a brief introduction to the lecture, attempting to place it in its context, and linking to his earlier work on the philosophy of physics from a Marxist standpoint which we have previously translated into English.
Nuclear Engineering and Design, 2011
Journal of Scientific Computing, 2006
Pseudo spectral methods offer an attractive alternative to finite element procedures for the solu... more Pseudo spectral methods offer an attractive alternative to finite element procedures for the solution of problems in elasticity. Especially for simple domains, questions involving both two and three dimensional elasticity (Navier’s Equations or their non-linear generalisations) would seem to be reasonable candidates for a pseudo spectral approach. This paper examines some simple vibrational eigenvalue type problems, demonstrating how Navier’s equations can be recast into pseudo- spectral format, including first derivative boundary conditions representing zero traction. Fourier–Chebyshev methods are shown to give solutions with typical spectral accuracy, with the addition of pole conditions being necessary for the case of a two dimensional disc. There is also consideration given to time-stepping solutions of elastodynamic problems, especially those involving non-linear friction effects, the authors particular interest being the study of disc brake noise. It is shown that, at least for relatively simple cases, it is possible to model systems in such a way that animated graphical output can be provided as the system of partial differential equations is numerically integrated. This provides a useful tool for engineers to rapidly examine the effect of parameter changes on a system model.
Summary. The focus of this paper is to provide a reliable approach for associating families of cu... more Summary. The focus of this paper is to provide a reliable approach for associating families of curves from within a large number of curves. The method developed assumes that it is not known how many families are present, or how many curves are held within a family. The ...
The Soviet historian and philosopher of science Boris Hessen (English spelling also Gessen) is we... more The Soviet historian and philosopher of science Boris Hessen (English spelling also Gessen) is well known for the paper “On the Social and Economic Roots of Newton’s Principia” he gave in 1931 to the Second International Congress of the History of Science in London. Its focus on the socio-economic aspects of the development of science – later called “externalism”– was regarded as groundbreaking. We present here an English translation of a lecture he gave in Moscow in April 1936, recently discovered in Russian archives, and believed to be one of his last works. He was arrested in August that year, admitting to “participation in counter-revolutionary Trotskyist activity” and “animosity toward Comrade Stalin”. He was subject to torture and eventually executed in December, after denying “creating a terrorist cell at Moscow State University”. The lecture shows that despite being under enormous psychological pressure he coninued working on the history of physics but also returned to the philosophical questions of his earlier writings. We give a brief introduction to the lecture, attempting to place it in its context, and linking to his earlier work on the philosophy of physics from a Marxist standpoint which we have previously translated into English.
Nuclear Engineering and Design, 2011
Journal of Scientific Computing, 2006
Pseudo spectral methods offer an attractive alternative to finite element procedures for the solu... more Pseudo spectral methods offer an attractive alternative to finite element procedures for the solution of problems in elasticity. Especially for simple domains, questions involving both two and three dimensional elasticity (Navier’s Equations or their non-linear generalisations) would seem to be reasonable candidates for a pseudo spectral approach. This paper examines some simple vibrational eigenvalue type problems, demonstrating how Navier’s equations can be recast into pseudo- spectral format, including first derivative boundary conditions representing zero traction. Fourier–Chebyshev methods are shown to give solutions with typical spectral accuracy, with the addition of pole conditions being necessary for the case of a two dimensional disc. There is also consideration given to time-stepping solutions of elastodynamic problems, especially those involving non-linear friction effects, the authors particular interest being the study of disc brake noise. It is shown that, at least for relatively simple cases, it is possible to model systems in such a way that animated graphical output can be provided as the system of partial differential equations is numerically integrated. This provides a useful tool for engineers to rapidly examine the effect of parameter changes on a system model.
Summary. The focus of this paper is to provide a reliable approach for associating families of cu... more Summary. The focus of this paper is to provide a reliable approach for associating families of curves from within a large number of curves. The method developed assumes that it is not known how many families are present, or how many curves are held within a family. The ...