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OverviewThe book describes the life of Henri Poincaré, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincaré'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 Poincaré'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 Poincaré 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 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 points theory. There is no comparable book on Poincaré, 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 Full Product DetailsAuthor: Ferdinand VerhulstPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2012 ed. Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 0.576kg ISBN: 9781461424062ISBN 10: 1461424062 Pages: 260 Publication Date: 11 August 2012 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsFrom the reviews: With this book, Verhulst did a marvelous job in sketching not only the person of Henri Poincare, but also by restricting to ... the differential equations and dynamical systems, among the diverse subjects that Poincare 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) "From the reviews: ""With this book, Verhulst did a marvelous job in sketching not only the person of Henri Poincare, but also by restricting to ... the differential equations and dynamical systems, among the diverse subjects that Poincare 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)" From the reviews: With this book, Verhulst did a marvelous job in sketching not only the person of Henri Poincare, but also by restricting to ... the differential equations and dynamical systems, among the diverse subjects that Poincare 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) Henri Poincare (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 Poincare'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) Author InformationFerdinand Verhulst is a Professor at the University of Utrecht. Tab Content 6Author Website:Countries AvailableAll regions |