The Number Concept: Its Origin and Development

Conant, Levi L. (Levi Leonard), 1857-1916Project Gutenberg · United StatesDec 2019

3.8

Word count: 322K words
Chapters: 33

Summary

Project Gutenberg was the first provider of free electronic books, or eBooks. Michael Hart, founder of Project Gutenberg, invented eBooks in 1971 and his memory continues to inspire the creation of eBooks and related technologies today.The Number Concept: Its Origin and Development by Levi L. ConantAuthor: Conant, Levi L. (Levi Leonard), 1857-1916,Language: English, Class: QA: Science: Mathematics, Release Date: Aug 5, 2005

Editor's review

This is an early English monograph devoted to a systematic examination of the origin and development of the concept of number. From the perspectives of the history of mathematics and anthropology, the author, Conant, traces how humanity moved from concrete counting to abstract number systems. Its value lies not in offering the latest research but in presenting the overall imagination and argumentative style of late nineteenth-century scholarship regarding the evolution of numerical ideas; it is a primary source for understanding the early landscape of the anthropology of mathematics. The book's discussions of primitive counting methods and the evolution of number names and symbols make it suitable as background reading for readers interested in the history of mathematics, anthropology, and the history of science. Because it was written early, some materials and views now appear outdated; readers should maintain a critical eye and treat it as a document in the history of scholarship rather than a modern authoritative survey. The electronic edition comes from Project Gutenberg, making it easy to search and excerpt, and suitable for topical notes or supplementary course reading.

Who it's for

A good fit for

General readers interested in the history of mathematics and the origin of the concept of number
Anthropology and history of science students seeking background reading
Instructors needing early English mathematical sources for course supplements
Readers who enjoy public-domain scholarly classics and taking topical notes

Not a good fit for

Readers seeking the latest conclusions in modern mathematics education or cognitive science
Mathematics learners needing systematic textbooks or exercise practice
Casual readers impatient with nineteenth-century English prose style

Reading tips

Read the table of contents and introduction first to grasp the author's overall framework for the evolution of the concept of number, then choose chapters for close reading.
Take notes on the ethnographic counting cases cited in the book for easy comparison with modern research.
Treat the book as material in the history of scholarship; verify conclusions against modern research before accepting them.
Read alongside general works on the history of mathematics to avoid cognitive bias from relying on a single old work.

About the publisher

Project Gutenberg United States · Founded in 1971

Project Gutenberg is a digital publishing project focused on public-domain ebooks. Its publishing direction centers on classic literary works whose copyright has expired, covering genres such as poetry, drama, fiction, and epic. Representative books include Lyrical Ballads by Wordsworth and Coleridge, Proust's Du côté de chez Swann, Shakespeare's Macbeth and The Complete Works of William Shakespeare, Homer's The Iliad, Dante's La Divina Comèdia: Purgatòri, Cervantes's The History of Don Quixote, Volume 2, and Grahame's The Wind in the Willows. Its author resources consist mainly of classic Western writers such as Wordsworth, Proust, Shakespeare, Homer, Dante, Cervantes, Grahame, and Tolstoy. Its publishing feature is the provision of freely accessible ebooks in EPUB and Kindle formats; it is not a traditional publisher, and publicly available information is limited.

FAQ

Is this book suitable for readers with weak mathematical foundations?

It can be read, but expectations should be adjusted. It discusses the history of the concept of number and anthropological materials, not problem-solving techniques, so the mathematical barrier is low; however, old-fashioned English prose and nineteenth-century academic expression increase reading difficulty. It is advisable to read the introduction and conclusion first, then select chapters of interest.

Are the book's views still reliable today?

They should not be taken directly as modern authoritative conclusions. The book was written in the late nineteenth century, and some ethnographic materials and evolutionary frameworks have been revised by later research. Its value lies in presenting an early scholarly landscape; it should be read as a document in the history of mathematics and anthropology, not as the latest survey.

What should be noted when reading the electronic edition?

The Project Gutenberg edition is a public-domain e-book, convenient for searching and excerpting, but its layout and annotations are rather plain. It is recommended to use a reader that supports full-text search and to mark proper names and terms as you go for easy reference.

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About the author

Conant, Levi L. (Levi Leonard), 1857-1916 Author · American · 1857–1916

Levi L. Conant (1857–1916) was an American mathematics educator and writer on popular mathematics. Public information about him is limited, and few details of his life are systematically recorded; his surviving works nonetheless show a lasting commitment to presenting mathematics to general readers in a clear and accessible way. His representative work, The Number Concept: Its Origin and Development, examines how the human concept of number took shape, comparing counting practices among different peoples, and reflects an open-minded, plain-spoken style attentive to historical context. He also wrote several arithmetic and geometry textbooks, contributing to basic mathematics education and popular mathematical reading.