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A comprehensive exposition of mathematics, tracing the history and
cultural significance of mathematical ideas from antiquity to the
present day. Mathematics, which originated in antiquity in the
needs of daily life, has developed into an immense system of widely
varied disciplines. Like the other sciences, it reflects the laws
of the material world around us and serves as a powerful instrument
for our knowledge and mastery of nature. But the high level of
abstraction peculiar to mathematics means that its newer branches
are relatively inaccessible to nonspecialists. This abstract
character of mathematics gave birth even in antiquity to idealistic
notions about its independence of the material world. In recent
years, many popular books about mathematics have appeared, but many
of them have neglected the twentieth century, the undisputed
"golden age" of mathematics. This book undertakes the ultimate task
of mathematical exposition, outlining the history and cultural
significance of mathematical ideas and their continuous development
from the earliest beginnings of history to the present day.
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