Elementary Principles in Statistical Mechanics: Developed with Especial Reference to the Rational Foundation of Thermodynamics / J.Willard Gibbs.

Select Frontmatter
Frontmatterpp i-vi
Select PREFACE
PREFACEpp vii-xii

Select Contents
Contentspp xiii-xviii

Select ELEMENTARY PRINCIPLES IN STATISTICAL MECHANICS
ELEMENTARY PRINCIPLES IN STATISTICAL MECHANICS

Select CHAPTER I - GENERAL NOTIONS. THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE
CHAPTER I - GENERAL NOTIONS. THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE
Select CHAPTER II - APPLICATION OF THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE TO THE THEORY OF ERRORS
CHAPTER II - APPLICATION OF THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE TO THE THEORY OF ERRORS
Select CHAPTER III - APPLICATION OF THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE TO THE INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF MOTION
CHAPTER III - APPLICATION OF THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE TO THE INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF MOTION

Select CHAPTER IV - ON THE DISTRIBUTION-IN-PHASE CALLED CANONICAL, IN WHICH THE INDEX OF PROBABILITY IS A LINEAR FUNCTION OF THE ENERGY
CHAPTER IV - ON THE DISTRIBUTION-IN-PHASE CALLED CANONICAL, IN WHICH THE INDEX OF PROBABILITY IS A LINEAR FUNCTION OF THE ENERGY

Select CHAPTER V - AVERAGE VALUES IN A CANONICAL ENSEMBLE OF SYSTEMS
CHAPTER V - AVERAGE VALUES IN A CANONICAL ENSEMBLE OF SYSTEMS

Select CHAPTER VI - EXTENSION-IN-CONFIGURATION AND EXTENSION-IN-VELOCITY
CHAPTER VI - EXTENSION-IN-CONFIGURATION AND EXTENSION-IN-VELOCITY

Select CHAPTER VII - FARTHER DISCUSSION OF AVERAGES IN A CANONICAL ENSEMBLE OF SYSTEMS
CHAPTER VII - FARTHER DISCUSSION OF AVERAGES IN A CANONICAL ENSEMBLE OF SYSTEMS

Select CHAPTER VIII - ON CERTAIN IMPORTANT FUNCTIONS OF THE ENERGIES OF A SYSTEM
CHAPTER VIII - ON CERTAIN IMPORTANT FUNCTIONS OF THE ENERGIES OF A SYSTEM

Select CHAPTER IX - THE FUNCTION ϕ AND THE CANONICAL DISTRIBUTION
CHAPTER IX - THE FUNCTION ϕ AND THE CANONICAL DISTRIBUTION

Select CHAPTER X - ON A DISTRIBUTION IN PHASE CALLED MICROCANONICAL IN WHICH ALL THE SYSTEMS HAVE THE SAME ENERGY
CHAPTER X - ON A DISTRIBUTION IN PHASE CALLED MICROCANONICAL IN WHICH ALL THE SYSTEMS HAVE THE SAME ENERGY

Select CHAPTER XI - MAXIMUM AND MINIMUM PROPERTIES OF VARIOUS DISTRIBUTIONS IN PHASE
CHAPTER XI - MAXIMUM AND MINIMUM PROPERTIES OF VARIOUS DISTRIBUTIONS IN PHASE

Select CHAPTER XII - ON THE MOTION OF SYSTEMS AND ENSEMBLES OF SYSTEMS THROUGH LONG PERIODS OF TIME
CHAPTER XII - ON THE MOTION OF SYSTEMS AND ENSEMBLES OF SYSTEMS THROUGH LONG PERIODS OF TIME

Select CHAPTER XIII - EFFECT OF VARIOUS PROCESSES ON AN ENSEMBLE OF SYSTEMS
CHAPTER XIII - EFFECT OF VARIOUS PROCESSES ON AN ENSEMBLE OF SYSTEMS

Select CHAPTER XIV - DISCUSSION OF THERMODYNAMIC ANALOGIES
CHAPTER XIV - DISCUSSION OF THERMODYNAMIC ANALOGIES

Select CHAPTER XV - SYSTEMS COMPOSED OF MOLECULES
CHAPTER XV - SYSTEMS COMPOSED OF MOLECULES

Josiah Willard Gibbs (1839–1903) was the greatest American mathematician and physicist of the nineteenth century. He played a key role in the development of vector analysis (his book on this topic is also reissued in this series), but his deepest work was in the development of thermodynamics and statistical physics. This book, Elementary Principles in Statistical Mechanics, first published in 1902, gives his mature vision of these subjects. Mathematicians, physicists and engineers familiar with such things as Gibbs entropy, Gibbs inequality and the Gibbs distribution will find them here discussed in Gibbs' own words.