This publication features a sequence of analysis papers on matters concerning the paintings of Niels Henrik Abel, written by way of a few of the optimum experts of their fields.
Some of the authors were in particular invited to offer papers, discussing the effect of Abel in a mathematical-historical context. Others have submitted papers offered on the Abel Bicentennial convention, Oslo June 3-8, 2002. the assumption in the back of the ebook has been to supply a textual content masking a considerable a part of the legacy of Abel, as perceived at first of the twenty first century.
It is followed through a CD-ROM with a large number of info relating to Niels Henrik Abel, corresponding to at the Abel Centennial in 1902 and the Abel Bicentennial convention in 2002, the launching of the Abel Prize, Abel monuments, and stamps, banknotes, cash and so on. issued in honour of Niels Henrik Abel.
Read Online or Download The Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo 2002 PDF
Similar Algebraic Geometry books
Fractal styles have emerged in lots of contexts, yet what precisely is a trend? How can one make specified the constructions mendacity inside of gadgets and the relationships among them? This e-book proposes new notions of coherent geometric constitution to supply a clean method of this ordinary box. It develops a brand new thought of self-similarity referred to as "BPI" or "big items of itself," which makes the sphere a lot more straightforward for individuals to go into.
The idea of elliptic curves is unusual via its lengthy historical past and by way of the range of the tools which were utilized in its examine. This e-book treats the mathematics strategy in its glossy formula, by using simple algebraic quantity thought and algebraic geometry. Following a quick dialogue of the mandatory algebro-geometric effects, the ebook proceeds with an exposition of the geometry and the formal crew of elliptic curves, elliptic curves over finite fields, the advanced numbers, neighborhood fields, and worldwide fields.
This publication introduces the speculation of modular kinds, from which all rational elliptic curves come up, with a watch towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner concept; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms.
Extra resources for The Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo 2002