Lighthouse BooksInternational Academic Publisher
Search Submit a ManuscriptLogin
BooksSeriesSubjectsAuthorsAccount
Cover of Number Theory through the History of Mathematical Ideas
Mathematics and Mathematical ThoughtMathematics & Statistics

Number Theory through the History of Mathematical Ideas

What can number theory reveal about historical development? This manuscript proposal develops that question through defined cases. The planned chapters distinguish mechanisms from metaphors, empirical findings from predictions, and strong evidence from plausible conjecture. The emphasis is on number theory viewed through historical development, with worked models, derivations, observational data, and explanatory diagrams. How do methods of measurement shape the conclusions that readers draw?

PublisherLighthouse Books, Delaware, USA
Universal Book ID19201
SubjectNumber Theory
DisciplineMathematics & Statistics
Publication TypeMonograph
LanguageEnglish
CategoryMathematical and physical science study
TagsNumber Theory

Table of Contents

Introduction — Number Theory through the History of Mathematical Ideas
1. The Problem and Its Vocabulary in Number Theory
2. Evidence, Sources, and Their Limits for Historical Development
3. Historical and Conceptual Foundations of Number Theory
4. Methods for Comparative Inquiry in Mathematics and Mathematical Thought
5. Theory in Contact with Practice: Number Theory
6. Consequences Beyond the Immediate Case: Historical Development
7. Why Definitions Matter: Mathematics and Mathematical Thought
8. Mechanisms and Explanatory Models: Number Theory
9. Evidence Gaps and Future Research: Historical Development
10. Testing Rival Accounts: Mathematics and Mathematical Thought
11. Disagreements in the Literature: Number Theory
12. Ethics, Access, and Practical Limits: Historical Development
Conclusion — What the Evidence Allows
References and Further Reading
Index

Related Books

View all books →