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Mathematical Treasure: Hilbert on Algebraic Number Fields

Author(s): 
Frank J. Swetz (The Pennsylvania State University)

David Hilbert (1862-1943) forced a rethinking of the foundations of mathematics in the early twentieth century. His Die Theorie der algebraischen Zahlkörper (Theory of Algebraic Number Fields), published in 1897, consisted of five parts comprising 542 pages.

Title page of Die Theorie der algebraischen Zahlkörper by David Hilbert, 1897

The topics covered in the first part are listed below.

Page 1 of the table of contents to Part I of Die Theorie der algebraischen Zahlkörper by David Hilbert, 1897

Page 2 of the table of contents to Part I of Die Theorie der algebraischen Zahlkörper by David Hilbert, 1897

The first page of the first chapter, to which a past reader added a clarifying comment:

Page 1 of Chapter 1 of Die Theorie der algebraischen Zahlkörper by David Hilbert, 1897

The images above were obtained through the courtesy of e-rara, where the work may be viewed in its entirety.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Hilbert on Algebraic Number Fields," Convergence (August 2018)

Dummy View - NOT TO BE DELETED