The Legacy of Niels Henrik Abel : the Abel Bicentennial, Oslo, 2002 /

Abel's influence on modern mathematics is substantial. This is seen in many ways, but maybe clearest in the number of mathematical terms containing the adjective Abelian. In algebra, algebraic and complex geometry, analysis, the theory of differential and integral equations, and function theory...

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Bibliographic Details
Main Author: Laudal, Olav Arnfinn
Corporate Author: SpringerLink (Online service)
Other Authors: Piene, Ragni
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
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Online Access:Connect to the full text of this electronic book
Description
Summary:Abel's influence on modern mathematics is substantial. This is seen in many ways, but maybe clearest in the number of mathematical terms containing the adjective Abelian. In algebra, algebraic and complex geometry, analysis, the theory of differential and integral equations, and function theory there are terms like Abelian groups, Abelian varieties, Abelian integrals, Abelian functions. A number of theorems are attributed to Abel. The famous Addition Theorem of Abel, proved in his Paris Mmoire, stands out, even today, as a mathematical landmark. This book, written by some of the foremost specialists in their fields, contains important survey papers on the history of Abel and his work in several fields of mathematics. The purpose of the book is to combine a historical approach to Abel with an overview of his scientific legacy as perceived at the beginning of the 21st century.
Item Description:Electronic resource.
Physical Description:1 online resource (X, 784 pages 37 illustrations)
ISBN:9783642189081 (electronic bk.)
3642189083 (electronic bk.)