Making up Numbers: A History of Invention in Mathematics by Ekkehard Kopp
Making up Numbers: A History of Invention in Mathematics - Table of Contents
1. Arithmetic in Antiquity
2. Writing and Solving Equations
3. Construction and Calculation
4. Coordinates and Complex Numbers
5. Struggles with the Infinite
6. From Calculus to Analysis
7. Number Systems
8. Axioms for Number Systems
9. Counting Beyond the Finite
10. Solid Foundations?
What You Will Learn in Making up Numbers: A History of Invention in Mathematics
"Making up Numbers: A History of Invention in Mathematics" by Ekkehard Kopp explores the fascinating history of "mathematical concepts" and the invention of "number systems". The book traces how humans developed numbers from simple counting to complex systems, including "zero", negative numbers, fractions, and complex numbers. Kopp emphasizes that mathematics is not just a set of fixed rules but a creative discipline shaped by human imagination, culture, and practical needs.
The book highlights the role of "logic" and "problem-solving" in the evolution of mathematics. Through historical examples, Kopp shows how mathematicians faced challenges that required inventing new ways to represent quantities and perform calculations. From ancient civilizations to modern thinkers, the development of numbers reflects the human drive to understand, organize, and manipulate the world mathematically.
Designed for both general readers and mathematics enthusiasts, "Making Up Numbers" blends historical narrative with clear mathematical explanations. It reveals how curiosity, creativity, and systematic reasoning contributed to the growth of mathematics. The book offers insight into the history of "mathematics", demonstrating how the invention of numbers and concepts continues to influence modern mathematical thinking and education.
Book Details & Specifications
Title:
Making up Numbers: A History of Invention in Mathematics by Ekkehard Kopp
Publisher:
Open Book Publishers
Year:
2020
Pages:
283
Type:
PDF
Language:
English
ISBN-10 #:
1800640951
ISBN-13 #:
978-1800640955
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Ekkehard Kopp
The author
Ekkehard Kopp
is a historian of mathematics and scholar specializing in the "history of mathematics", "mathematical invention", and the development of "numerical concepts". His research focuses on how mathematicians created new "numbers" and systems to solve problems and express abstract ideas. In "Making up Numbers: A History of Invention in Mathematics", Kopp explores the evolution of "arithmetic", symbols, and notation throughout history. The book highlights the creative process behind mathematical discovery and the role of human innovation in shaping "mathematical reasoning".
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