Mathematical Thought from Ancient to Modern Times

Morris Kline

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History and Theory of Mathematics History of Science and Medicine Historical Studies and Socio-cultural Analysis

Abstract

Abstract This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gödel on recent mathematical study.

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1999Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence 2006The Learning and Teaching of School Algebra 1976The concept of function up to the middle of the 19th century 1995The development of algebra: Confronting historical and psychological perspectives

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