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Published in:
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2015 | OriginalPaper | Chapter

1. Classical Mechanics

Author : Isamu Kusaka

Published in: Statistical Mechanics for Engineers

Publisher: Springer International Publishing

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Abstract

A macroscopic object we encounter in our daily life consists of an enormously large number of atoms. While the behavior of these atoms is governed by the laws of quantum mechanics, it is often acceptable to describe them by means of classical mechanics. In this chapter, we familiarize ourselves with the basic concepts of classical mechanics. From the outset, we assume that concepts such as mass, time, displacement, and force are understood on the basis of our everyday experiences without further elaboration. The role of classical mechanics, then is to explore the precise relationship among these objects in mathematical terms.

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next chapter Thermodynamics
Literature
1.
Goldstein H (1980) Classical Mechanics, 2nd edn. Addison-Wesley, Reading, Massachusetts The book has much to recommend and it is in fact one of the standard references on classical mechanics. For a detailed discussion of what we saw in this chapter, see Chaps. 1, 2, and 8. For a discussion on the relation between the energy function and the mechanical energy, see pp. 60-61. The corresponding discussion regarding the Hamiltonian and the mechanical energy is in pp. 349-351. For Routhian and its application, see Sect. 8.3. Note that his Routhian is the negative of ours. Various properties of the Poisson bracket are given in Chap. 9.
2.
Lanczos C (1986) The variational principles of mechanics. Dover, New York A very detailed, yet highly accessible and engaging, discussion of the variational principles including Hamilton’s principle.
3.
Landau L D, Lifshitz E M (1973) Mechanics, 3rd edn. Pergamon Press, New York A very short account on classical mechanics. The book is full of unusual insights, though not everything they say is immediately obvious. Their Poisson bracket is the negative of ours.
4.
Tolman R C (1979) The principles of statistical mechanics. Dover, New York Chapter 2 gives a short review of classical mechanics including topics we have omitted.
Metadata
Title
Classical Mechanics
Author
Isamu Kusaka
Copyright Year
2015
Book
Statistical Mechanics for Engineers

Print ISBN: 978-3-319-13809-1

Electronic ISBN: 978-3-319-15018-5

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-13809-1_1