The Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo, 2002 - Softcover

Softcover

ISBN 10: 3642623506 ISBN 13: 9783642623509

Publisher: Springer, 2013

Synopsis

A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.

About this title

From the Back Cover:

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 Mémoire, 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.

Review:

From the reviews:

" [... ] The result is a massive book with a lot of interesting material in it. About half of this material should be accessible to a wide audience; the other half will be of interest mostly to specialists.

With the book comes a CD-ROM containing still more material related to Abel and to the conference. [...]

It's a delightful package, particularly for those of us who are interested in the history of mathematics and/or in number theory, algebraic geometry, and complex function theory. Just the images on the CD would make me want to have a copy. Given the size of this book and the extras on the CD, this isn't even very expensive; no library should be without a copy."

Fernando Q. Gouvêa, MAA Online (for complete review see "Briefly noted" at http://www.maa.org/reviews)

"The core of the book consists of contributions presented at the Abel bicentennial conference held at the University of Oslo ... . The book contains a huge amount of information of historical and mathematical nature. It can be recommended not only to those working in fields having roots in one of Abel’s versatile contributions to mathematics but also to anybody who likes to read how ideas can influence the future development." (EMS Newsletter, June, 2005)

About this edition

• Publisher: Springer
• Publication date: 2013
• ISBN 10: 3642623506
• ISBN 13: 9783642623509
• Binding: Paperback
• Number of pages: 793
• Editor: Laudal Olav Arnfinn, Piene Ragni