The book describes the life of Henri Poincare, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincare's contributions to automorphic functions, differential equations and dynamical systems, celestial mechanics, mathematical physics in particular the theory of the electron and relativity, topology (analysis situs). A chapter on philosophy explains Poincare's conventionalism in mathematics and his view of conventionalism in physics; the latter has a very different character. In the foundations of mathematics his position is between intuitionism and axiomatics. One of the purposes of the book is to show how Poincare reached his fundamentally new results in many different fields, how he thought and how one should read him. One of the new aspects is the description of two large fields of his attention: dynamical systems as presented in his book on `new methods for celestial mechanics' and his theoretical physics papers. At the same time it will be made clear how analysis and geometry are intertwined in Poincare's thinking and work.In dynamical systems this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings and his fixed points theory. There is no comparable book on Poincare, presenting such a relatively complete vision of his life and achievements. There exist some older biographies in the French language, but they pay only restricted attention to his actual work. The reader can obtain from this book many insights in the working of a very original mind while at the same time learning about fundamental results for modern science
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461424062
eBay Product ID (ePID)
111576013
Product Key Features
Author
Ferdinand Verhulst
Publication Name
Henri Poincare: Impatient Genius
Format
Hardcover
Language
English
Subject
Engineering & Technology, Mathematics, Physics
Publication Year
2012
Type
Textbook
Number of Pages
260 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
576g
Additional Product Features
Title_Author
Ferdinand Verhulst
Country/Region of Manufacture
United States
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