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This book describes the life and work of Henri Poincaré, detailing most of his unique achievements in mathematics and physics. It is divided into two parts-the first on Poincaré's life, and the second on his contributions to the mathematical sciences. Apart from biographical details, attention is given to Poincaré's results on automorphic functions; differential equations and dynamical systems; celestial mechanics; mathematical physics, in particular the theory of the electron and relativity; and topology (analysis situs). A chapter on philosophy explains Poincaré's conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincaré reached his fundamentally new results in many different fields, how he thought about problems, and how one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincaré'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-point theory. There is no comparable book on Poincaré presenting such a relatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest.
Reviews of this book:"The title of this biography is particularly well chosen : Henri Poincaré was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, completed by particularly well chosen illustrations.
Jean Mawhin, Université Catholique de Louvain, Belgium
"Ferdinand Verhulst has written a true scientific biography, introducing Poincaré the man, his cultural milieu, and his mathematics. This book shows why, a century after his death, Poincaré's ideas still shape a substantial part of the mathematical sciences."
Philip J Holmes, PrincetonUniversity, USA
Inhaltsverzeichnis
The early years. - Academic education, 1873-1879. - Impressive results in Vesoul and Caen. - Career in Paris. - The prize competition of Oscar II. - Philosophy and essays. - At the end, what kind of a man? - Automorphic functions. - Differential equations and dynamical systems. - Analysis Situs. - Mathematical Physics. - Poincaré. - Historical data and biographical details. - References. - Index. -
From the reviews:
Henri Poincaré (1854-1912) is arguably one of the two greatest mathematicians of the late-19th and early-20th centuries. The volume is roughly divided into two parts: the first part is an account of Poincaré s life, with particular focus on his professional exploits; the second is a discussion of many aspects of his mathematics. The latter strongly emphasizes differential equations, dynamical systems, and mathematical physics . Summing Up: Recommended. Mathematics and history of science collections serving upper-division undergraduates through faculty. (S. J. Colley, Choice, Vol. 50 (7), March, 2013)
The very readable book conveys a good impression to the reader about Poincaré s life and work supported by many illustrations. the book is of special interest for historians of mathematics, mathematicians and mathematical physicists with historical inclinations, but also a reader with a lower mathematical training will gain a colourful insight into the life and personality of a genius. (Karl-Heinz Schlote, zbMATH, Vol. 1272, 2013)
With this book, Verhulst did a marvelous job in sketching not only the person of Henri Poincaré, but also by restricting to the differential equations and dynamical systems, among the diverse subjects that Poincaré worked on, he succeeds very well in communicating the essence of what the theory is about. This is a book obviously interesting for historians of mathematics, but also for any mathematician who want to catch a glimpse of the person and the mind of a genius. (A. Bultheel, The European Mathematical Society, October, 2012)
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