By Ian F. McNeely, Lisa Wolverton
This is an highbrow leisure, a sweeping historical past of the most important associations that experience equipped wisdom within the West from the classical interval onward. With attractiveness and wit, this exhilarating heritage alights on the pivotal issues of cultural transformation. The motivating query all through: How does heritage support us comprehend the tremendous alterations we're now experiencing within the panorama of knowledge?Beginning in Alexandria and its nice middle of Hellenistic studying and imperial strength, we then see the monastery within the wasteland of a collapsed civilization, the rambunctious universities of the past due medieval towns, and the thick social networks of the Enlightenment republic of letters. the advance of technology and the laboratory as a dominant wisdom establishment brings us to the current, looking styles within the new electronic networks of knowledge.Full of memorable characters, this clean heritage succeeds in restoring the strangeness and the importance of the earlier.
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Extra info for Reinventing Knowledge: From Alexandria to the Internet
Maxwell’s equations for the electric field E and magnetic field B are well known to have the form (see Landau and Lifshitz 1975, Chap. 4, Sect. 30) Here B and E are the exact magnetic and electric fields. The fields are completely determined by electric charges and electric currents. 6). t/, see Fig. 6. 32) i D1 ei e1 vi (t) ri (t) Fig. 34) Let us count the number of unknown quantities: the vectors B; E; ri ; and vi . N C 1/. N C 1/ C 2. Therefore two equations seem to be unnecessary. Why is this so?
2). Rewrite the Liouville theorem by using the Hamilton equations instead of the Newton equations. Answer. 25) in the Hamilton form (see Landau and Lifshitz 1976, Chap. 7, Sect. P; q/ is the Hamiltonian of the system under consideration, q˛ and P˛ are the generalized coordinates and momenta, respectively. 11) by the generalized variables q and P. 47) Therefore, from a mathematical point of view, the Liouville equation represents the linear differential equation in partial derivatives of the first order, for which the characteristic equations coincide with the Hamilton equations.
E. the energy flux density for electromagnetic field. This is called the Poynting vector. 52) is the power of work done by the electric field on all the charged particles in the unit volume of space. 6)). 56) Compare this simple approach to the energy conservation law for charged particles and an electromagnetic field with the more general situation considered in Sect. 3. 7 (Sect. 2). 35). Answer. 35). 57) Chapter 2 Statistical Description of Interacting Particle Systems Abstract In a system which consists of many interacting particles, the statistical mechanism of “mixing” in phase space works and makes description of the system’s behavior on average more simple.