Neuware -The book describes the life of Henri Poincar�, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincar�'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 Poincar�'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 Poincar� 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 Poincar�'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 Poincar�, 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 scienceSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 272 pp. Englisch.

Bestandsnummer des Verk�ufers 9781489999146

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Bibliografische Details

Titel: Henri Poincar�
Verlag: Springer US, Springer US Sep 2014
Erscheinungsjahr: 2014
Sprache: Englisch
ISBN-10: 1489999140
ISBN-13: 9781489999146
Einband: Taschenbuch
Zustand: Neu
Abmessungen: Breite: 235 mm, H�he: 155 mm, Tiefe: 15 mm
Gewicht: 417 Gramm

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Inhaltsangabe

The book describes the life of Henri Poincar�, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincar�'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 Poincar�'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 Poincar� 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 Poincar�'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 Poincar�, 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

�ber die Autorin bzw. den Autor

Ferdinand Verhulst is a Professor at the University of Utrecht.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

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