Harold M. Edwards

Essays in Constructive Mathematics (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 322
• Erscheinungstermin: 29. September 2022
• Englisch
• ISBN-13: 9783030985585
• Artikelnr.: 65972886

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

"A book of this kind with significantly worked-out algorithmic calculations, including many examples, is a rare valuable product." (Wim Ruitenburg, Mathematical Reviews, April, 2024)

"This is the second edition of Harold Edwards' Essays in Constructive Mathematics ... . The essays contained in this volume are serious works of mathematics done from a constructivist perspective. ... I think that most mathematicians already familiar with these topics will find Edwards' constructivist approach to the topics covered to be fascinating." (Benjamin Linowitz, MAA Reviews, December 31, 2023)