Written by the man hailed as the last mathematical universalist and the greatest mathematician since Gauss, this book explores the basic methodology and psychology of scientific discovery, particularly in regard to mathematics and mathematical physics. It explains how scientists analyze and select the facts with which they work and examines the application of experimentation, theory, and the mind in pursuit of organized knowledge. Poincare illustrates his discussion of the germination of ideas with examples from many scientific fields and from his personal experience. This volume contains his famous discussion of his own idea-creating mental processes and use of the unconscious mind. Modern mathematicians and logicians will find his searching examination of the ideas of Whitehead, Hilbert, and Russell especially illuminating.
Table of Contents
|I.||The Scientist and Science|
|I.||The Selection of Facts||15|
|II.||The Future of Mathematics||25|
|I.||The Relativity of Space||93|
|II.||Mathematical Definitions and Education||117|
|III.||Mathematics and Logic||143|
|IV.||The New Logics||160|
|V.||The Last Efforts of the Logisticians||177|
|III.||The New Mechanics|
|I.||Mechanics and Radium||199|
|II.||Mechanics and Optics||213|
|III.||The New Mechanics and Astronomy||235|
|I.||The Milky Way and the Theory of Gases||253|
Most Helpful Customer Reviews
Science and Method (Barnes & Noble Library of Essential Reading) based on 0 ratings. 1 reviews.
I have many books by contemporary authors that propose to popularize math, science and philosophy and some are very good. This is an original work by one of the greatest mathematicians of all time. Henri Poincare not only contributed to many different fields of mathematics, but invented a few himself. He was a great expositor of scientific learning and philsophy as well. This little book was extremely influentual in the science world and with the general public early in the 20th century and is still published and a great benefit to today's reader. Even the least curious among us have probably heard Poincare's name bandied about in the past few years' newspapers (Poincre's Conjecture) and most of us have at least heard of Einstein's theory of relativity. Poincare not only had an immense influence on Einstein, he 'almost' had the theory of relativity worked out for himself before Einstein. Science and Method should be a required read by any student of science or philosophy, and it won't hurt the rest of us to broaden and deepen our views. As a side note for any chaos theory aficionados out there; this book is where Poincare discussed some of the basics dynamical systems and why he is sometimes called the "father of chaos theory".