Logo

Essays on the Theory of Numbers

Large book cover: Essays on the Theory of Numbers

Essays on the Theory of Numbers
by

Publisher: The Open Court Publishing
ISBN/ASIN: 0486210103
Number of pages: 78

Description:
This is a book combining two essays by Dedekind: "Continuity and irrational numbers" - Dedekind's way of defining the real numbers from rational numbers; and "The nature and meaning of numbers" where Dedekind offers a precise explication of the natural numbers (using what are now called the Peano axioms, since Peano made so much of them after reading Dedekind).

Home page url

Download or read it online for free here:
Download link
(460KB, PDF)

Similar books

Book cover: Harmonic Analysis, the Trace Formula, and Shimura VarietiesHarmonic Analysis, the Trace Formula, and Shimura Varieties
by - American Mathematical Society
The goal of this volume is to provide an entry point into the challenging field of the modern theory of automorphic forms. It is directed on the one hand at graduate students and professional mathematicians who would like to work in the area.
(12752 views)
Book cover: Predicative ArithmeticPredicative Arithmetic
by - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
(17873 views)
Book cover: Lectures On Irregularities Of DistributionLectures On Irregularities Of Distribution
by - Tata Institute of Fundamental Research
The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.
(9069 views)
Book cover: Arithmetic Duality TheoremsArithmetic Duality Theorems
by - BookSurge Publishing
This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.
(15808 views)