By John G Papastavridis
It is a accomplished, cutting-edge, treatise at the full of life mechanics of Lagrange and Hamilton, that's, classical analytical dynamics, and its valuable purposes to restricted structures (contact, rolling, and servoconstraints). it's a publication on complex dynamics from a unified perspective, particularly, the kinetic precept of digital paintings, or precept of Lagrange. As such, it maintains, renovates, and expands the grand culture laid by way of such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many thoroughly solved examples supplement the speculation, in addition to many difficulties (all of the latter with their solutions and plenty of of them with hints). even though written at a complicated point, the subjects coated during this 1400-page quantity (the such a lot broad ever written on analytical mechanics) are eminently readable and inclusive. it truly is of curiosity to engineers, physicists, and mathematicians; complex undergraduate and graduate scholars and lecturers; researchers and execs; all will locate this encyclopedic paintings a rare asset; for lecture room use or self-study. during this variation, corrections (of the unique version, 2002) were integrated.
Readership: scholars and researchers in engineering, physics, and utilized arithmetic.
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Extra info for Analytical Mechanics : A Comprehensive Treatise on the Dynamics of Constrained Systems (Reprint Edition)
1. For Background (Elementary to Intermediate Level): Butenin et al. (1985), Coe (1938), Crandall et al. ; 1927), Loitsianskii and Lur’e (1983), Milne (1948), Nielsen (1935), Osgood (1937), Papastavridis (EM, in preparation), Parkus (1966), Rosenberg (1977), Smith (1982), Sommerfeld (1964), Spiegel (1967), Sta¨ckel (1905), Suslov (1946), Synge and Griﬃth (1959), Wells (1967). 2. For Concurrent Reading (Intermediate to Advanced Level): Boltzmann (1902, 1904), Butenin (1971), Dobronravov (1970, 1976), Gantmacher (1970), Gray (1918), Greenwood (1977, 2000), Hamel (1949), Heil and Kitzka (1984), Heun (1906), Lamb (1943), Lanczos (1970), Lur’e (1968), MacMillan (1927, 1936), Mei (1985, 1987), Neimark and Fufaev (1972), Nordheim (1927), Pars (1965), 13 14 INTRODUCTION Pa¨sler (1968), Pe´re`s (1953), Poliahov et al.
Guide Through the Literature on the History of Mechanics 1. ): Qualitative and quantitative tracing of the evolution of ideas from antiquity to modern quantum mechanics; excellent. Hoppe [1926(a), (b)]: Concise history of physics, with some quantitative detail; good place to start. Hund (1972): Panoramic, competent and compact history of physics, from antiquity to modern quantum mechanics, cosmology, and so on; one of the best places to start. Simonyi (1990): Comprehensive and suﬃciently quantitative history of physics from antiquity to modern; beautifully and richly illustrated; most highly recommended.
Kramer (1970): Like a more elementary version of Kline’s book; interesting account of the evolution of determinism in physics (pp. 204–245). Struik (1987): Compact, dependable; includes socioeconomic explanations of mathematical inventions. Also Dictionary of Scientiﬁc Biography (ed. Gillispie, 1970s). 3 SUGGESTIONS TO THE READER A cumulative and alphabetical bibliography is located at the end of the book (see References and Suggested Reading, pp. 1323–1370). The following grouping of textbooks and treatises aims to better orient the reader relative to (some of ) the best available international mechanics/dynamics literature, and thus obtain maximum beneﬁt from this work.