Discrete Mechanics A Unified Approach

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Free Download Discrete Mechanics A Unified Approach by Hayrettin Kardestuncer
English | PDF | 1975 | 57 Pages | ISBN : 3211813799 | 2.5 MB
Nature always tends to minimize its effort in achieving its goal. Whether it is the maxi- mum area of Queen Dido of Carthage, the minimum resistance of Newton or the shortest time of Bernouilli, most physical problems fall, theoretically at least, within the jurisdiction of variational calculus.

Although the basic concept (minimum, maximum) of variational calculus was known to ancient Egyptians (reallocation of land after the Nile £loodings), and Greeks (maximum area or minimum distance), it could not be considered a mathematical discipline until the period of Newton, Leibnitz and the Bernouillis. Much of the formulation of this mathema- tics was developed by Euler [1] (1707-83) who was a pupil of Jacob Bernouilli.

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