Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.
Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.
This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during 1977-78 in the Department of Engineering Sciences and Applied Mathematics, ...
In A Brief History of Mathematical Thought, Luke Heaton shows that much of what many think-and fear-about mathematics is misplaced, and to overcome our insecurities we need to understand its history.
This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.
A comprehensive and intriguing account of the evolution of arithmetic and geometry, trigonometry and algebra, explores the interconnections among mathematics, physics, and mathematical astronomy and provides a history of the discipline from ...
Evolutionary Theory covers all the major theoretical approaches used to study the mechanics of evolution, including classical one- and two-locus models, diffusion theory, coalescent theory, quantitative genetics, and game theory.
Al - Karaji employed words rather than symbols . For example , he described the second of his continued proportions in these words : “ Know that the ratio of part of a thing ( 1 / x ) to part of a square ( 1 / x2 ) , is like the ratio ...
Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?
[129] Victor J. Katz, editor. Using History to Teach Mathematics: An International Perspective. Mathematical Association of America, 2000. [130] Victor J. Katz, editor. The Mathematics of Egypt, Mesopotamia, China, India, ...
The field of mathematics today represents an ongoing global effort, spanning both countries and centuries.