|Product dimensions:||6.00(w) x 1.25(h) x 9.00(d)|
About the Author
As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics. He was responsible for formulating the Poincaré conjecture, which was one of the most famous unsolved problems in mathematics until it was solved in 2002-2003.
In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory. He is also considered to be one of the founders of the field of topology.
Poincaré made clear the importance of paying attention to the invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form. Poincaré discovered the remaining relativistic velocity transformations and recorded them in a letter to Dutch physicist Hendrik Lorentz (1853-1928) in 1905. Thus he obtained perfect invariance of all of Maxwell's equations, an important step in the formulation of the theory of special relativity.
Table of Contents
PART I. NUMBER AND MAGNITUDE.
CHAPTER I. ON THE NATURE OF MATHEMATICAL REASONING
CHAPTER II. MATHEMATICAL MAGNITUDE AND EXPERIMENT
PART II. SPACE.
CHAPTER III. NON-EUCLIDEAN GEOMETRIES
CHAPTER IV. SPACE AND GEOMETRY
CHAPTER V. EXPERIMENT AND GEOMETRY
PART III. FORCE.
CHAPTER VI. THE CLASSICAL MECHANICS
CHAPTER VII. RELATIAVE AND ABSOLUTE MOTION
CHAPTER VIII. ENERGY AND THERMO-DYNAMICS
PART IV. NATURE.
CHAPTER IX. HYPOTHESES IN PHYSICS
CHAPTER X. THE THEORIES OF MODERN PHYSICS
CHAPTER XI. THE CALCULUS OF PROBABILITIES
CHAPTER XII. OPTICS AND ELECTRICITY
CHAPTER XIII. ELECTRO-DYNAMICS