**Essays on the Theory of Numbers**

by Richard Dedekind

**Publisher**: The Open Court Publishing 1901**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).

Download or read it online for free here:

**Download link**

(460KB, PDF)

## Similar books

**Predicative Arithmetic**

by

**Edward Nelson**-

**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.

(

**11918**views)

**A set of new Smarandache functions, sequences and conjectures in number theory**

by

**Felice Russo**-

**American Research Press**

The fascinating Smarandache's universe is halfway between the recreational mathematics and the number theory. This book presents new Smarandache functions, conjectures, solved and unsolved problems, new type sequences and new notions in number theory.

(

**7745**views)

**Introduction to Shimura Varieties**

by

**J.S. Milne**

This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.

(

**4444**views)

**Arithmetic Duality Theorems**

by

**J.S. Milne**-

**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.

(

**10602**views)