Essays in Constructive Mathematics

2. Auflage 2022
ISBN: 978-3-030-98557-8
Verlag: Springer International Publishing

Buch, Englisch, 322 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 670 g

Contents and treatment are fresh and very different from the standard treatments

Presents a fully constructive version of what it means to do algebra

The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

Zielgruppe

Research

Autoren/Hrsg.

Edwards, Harold M.

Weitere Mitwirkende

Cox, David A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

Part I.- 1. A Fundamental Theorem.- 2. Topics in Algebra.- 3. Some Quadratic Problems.- 4. The Genus of an Algebraic Curve.- 5. Miscellany. Part II.- 6. Constructive Algebra.- 7. The Algorithmic Foundation of Galois's Theory.- 8. A Constructive Definition of Points on an Algebraic Curve.- 9. Abel's Theorem.

Über Autor(innen)

Harold M. Edwards [1936–2020] was Professor Emeritus of Mathematics at New York University. His research interests lay in number theory, algebra, and the history and philosophy of mathematics. He authored numerous books, including Riemann’s Zeta Function (1974, 2001) and Fermat’s Last Theorem (1977), for which he received the Leroy P. Steele Prize for mathematical exposition in 1980.

David A. Cox (Contributing Author) is Professor Emeritus of Mathematics in the Department of Mathematics and Statistics of Amherst College. He received the Leroy P. Steele Prize for mathematical exposition in 2016 for his book Ideals, Varieties, and Algorithms, with John Little and Donal O’Shea.