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eBook - ePub
Mechanics and Electrodynamics
About this book
Largely a condensed amalgamation of two previous books by the same authors - Mechanics and The Classical Theory of Fields - omitting the rather more advanced topics such as general relativity.
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Yes, you can access Mechanics and Electrodynamics by L D Landau,E.M. Lifshitz in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.
Information
Part I
Mechanics
CHAPTER 1
THE EQUATIONS OF MOTION
Publisher Summary
The relations among accelerations, velocities, and coordinates are called the equations of motion. They are second-order differential equations for the functions and their integration makes possible, in principle, the determination of these functions and so of the path of the system. This chapter reviews generalized coordinates and the principle of least action. The most general formulation of the law governing the motion of mechanical systems is the principle of least action or Hamiltonās principle. The chapter also discusses Galileoās relativity principle. Galileoās relativity principle states that the laws of nature are invariant under transformation. The chapter further discusses the determination of the form of the Lagrangian and considers all the simplest case that of the free motion of a particle relative to an inertial frame of reference. As the homogeneity of space and time, the Lagrangian of a free particle cannot depend explicitly on either the position vector r or the time t, that is, L is a function of the velocity Ī½ only; because of the isotropy of space, the Lagrangian must also be independent of the direction of the vector v and is, therefore, a function only of its magnitude, that is, v2 = Ī½2: L = L(Ī½2). This form of this function is uniquely determined by Galileoās relativity principle, whi...
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- PREFACE
- TRANSLATORāS NOTE
- NOTATION
- Part I: Mechanics
- Part II: Electrodynamics
- INDEX