---
product_id: 15316747
title: "Contributions to the Founding of the Theory of Transfinite Numbers (Dover Books on Mathematics) First Edition"
brand: "georg cantor"
price: "28950CFA"
currency: XOF
in_stock: true
reviews_count: 7
url: https://www.desertcart.sn/products/15316747-contributions-to-the-founding-of-the-theory-of-transfinite-numbers
store_origin: SN
region: Senegal
---

# Contributions to the Founding of the Theory of Transfinite Numbers (Dover Books on Mathematics) First Edition

**Brand:** georg cantor
**Price:** 28950CFA
**Availability:** ✅ In Stock

## Quick Answers

- **What is this?** Contributions to the Founding of the Theory of Transfinite Numbers (Dover Books on Mathematics) First Edition by georg cantor
- **How much does it cost?** 28950CFA with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.sn](https://www.desertcart.sn/products/15316747-contributions-to-the-founding-of-the-theory-of-transfinite-numbers)

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## Customer Reviews

### ⭐⭐⭐⭐⭐ The genius and founder of the modern treatment of the real numbers.
*by K***R on September 11, 2016*

Cantor probably contributed more to our modern theory than any other mathematician. In my opinion, a true genius who dedicated most of his life to getting a clearer and more in-depth understanding of the topic than almost any other human. However, reading this book is for those who might enjoy reading "Euclid's Elements." A wonderful co-joining of a truly powerful mind and allowing insights into how they approached the topic, but definitely not a modern textbook. For a historian, it is where modern foundations of numbers were first treated. I hope you enjoy it as much as I did.

### ⭐⭐⭐⭐⭐ Woohoo for Cantor!
*by T***I on January 8, 2020*

I love number theory and my first argument with a mathematics teacher was when I was eight years old on the topic of inequalities, integers, and real numbers. Enjoy reading Mr. Cantor’s foundations.

### ⭐⭐⭐⭐ Detailed Axiomatic Development of Transfinite Numbers - Not Suitable as Introduction
*by M***R on August 25, 2006*

Georg Cantor's final and logically purified memoir on transfinite numbers was published in the late 1890s. This Dover reprint is the 1915 English translation by the mathematician Philip E. B. Jourdain; it also includes a lengthy, technically diffcult introduction by Jourdain.Contributions to the Founding of the Theory of Transfinite Numbers is not suitable as an introduction. I unwisely disregarded caution from an earlier reviewer that Cantor's work would not be appropriate for a beginner in set theory. (I thought that I was reasonably acquainted with set theory, but I do admit that I was not a math major.)The 82-page introduction by Jourdain assumes that the reader is reasonably familiar with the work of key nineteenth century mathematicians. While it is possible to skip the introduction, Jourdain's context setting is quite helpful. Cantor's transfinite numbers are so innovative and so unexpected that it almost seems as though they spring forth in a vacuum, but Jourdain shows that the earlier work of Dirichlet, Cauchy, Riemann, and Weierstrass helped point the way for Cantor.Cantor's memoir (that is, his two-part discussion of transfinite number theory) comprise the remaining 125 pages. The difficulty with Cantor's axiomatic presentation is two-fold. First, the material itself is not easy - despite Cantor's careful approach. I even bogged down for awhile on his early discussion of the exponentiation of powers and how this leads to aleph-zero. And second, much of his terminology is outdated and unfamiliar. For example, there is no mention of sets, just aggregates and parts. Another example is that Cantor speaks of reciprocal and univocal correspondence. I have yet to complete Cantor's work, but I am continuing to plod along.A recommendation: A much better starting point for readers new to transfinite numbers is a fascinating book by Mary Tiles, titled The Philosophy of Set Theory - An Historical Introduction to Cantor's Paradise. This work targets mathematics and philosophy majors, but is accessible to others.

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*Last updated: 2026-02-24*