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Frobenius is best known as creator of the theory of group characters and representations, but his name is attached to a multitude of theorems and concepts from a broad spectrum of mathematical disciplines. In this book his mathematics is presented “in context” in two senses. The first provides the reader with the historical background necessary to understand why Frobenius undertook to solve a particular problem and to appreciate the magnitude of his achievement. Part of the context involves Frobenius’ training in the Berlin school of mathematics presided over by Weierstrass, Kronecker, and Kummer, from whom he learned disciplinary ideals as well as theorems. Frobenius’ mathematics is also presented “in context” in that the author traces the ways in which his work was subsequently applied, developed, and ultimately incorporated into present-day mathematics. As a consequence of the contextual approach, the reader will encounter a broad swath of diverse and important strands of 18th–20th century mathematics, ranging from the work of Lagrange and Laplace on stability of linear systems of differential equations to the theory of complex abelian varieties.
The book is divided into three parts. Part I provides an overview of Frobenius’ entire mathematical career and thus serves as an introduction to the main body of the book. Here, within the framework of his educational and professional career, his contributions to mathematics and the attendant backgrounds are briefly sketched and their subsequent impact upon the development of mathematics indicated. Part II presents the development of core aspects of linear algebra up to and including the work of Weierstrass and Kronecker. The chapters of Part III deal in depth with Frobenius’ major works and can be read independently of one another.
Thomas Hawkins was awarded the MAA Chauvenet Prize for expository writing and was the first recipient of the AMS Whiteman Prize for historical exposition. His last book was Emergence of the Theory of Lie Groups (Springer, 2000).
Thomas Hawkins won the 2001 Whiteman Prize, an AMS prize that honors notable exposition in the history of mathematics. The citation for the prize calls Hawkins "an outstanding historian of mathematics whose current research and numerous publications display the highest standards of mathematical and historical sophistication." The citation also mentions a number of Hawkins’ works, including his book, The Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926. "Hawkins’ work has truly transformed our understanding of how modern mathematics has evolved," the citation concludes.
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Frobenius made many important contributions to mathematics in thelatter part of the 19th century. Hawkins here focuses on his work inlinear algebra and its relationship with the work of Burnside, Cartan,and Molien, and its extension by Schur and Brauer. He also discussesthe Berlin school of mathematics and the guiding force of Weierstrassin that school, as well as the fundamental work of d'Alembert,Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laidthe groundwork for Frobenius's work in linear algebra. The bookconcludes with a discussion of Frobenius's contribution to the theoryof stochastic matrices. 716 pp. Englisch. Seller Inventory # 9781489987006
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Written by an expert in the field with forty years of research on the subject Presented in three parts for optimal accessibility Contains a detailed table of contents to guide readers to the works of greatest interest to themThom. Seller Inventory # 385696281
Book Description Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9781489987006
Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Frobenius made many important contributions to mathematics in thelatter part of the 19th century. Hawkins here focuses on his work inlinear algebra and its relationship with the work of Burnside, Cartan,and Molien, and its extension by Schur and Brauer. He also discussesthe Berlin school of mathematics and the guiding force of Weierstrassin that school, as well as the fundamental work of d'Alembert,Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laidthe groundwork for Frobenius's work in linear algebra. The bookconcludes with a discussion of Frobenius's contribution to the theoryof stochastic matrices. Seller Inventory # 9781489987006
Book Description Condition: New. Seller Inventory # I-9781489987006