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Turning Points in the History of Mathematics (Paperback, 1st ed. 2015)
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Turning Points in the History of Mathematics (Paperback, 1st ed. 2015)
Series: Compact Textbooks in Mathematics
Expected to ship within 10 - 15 working days
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This book explores some of the major turning points in the history
of mathematics, ranging from ancient Greece to the present,
demonstrating the drama that has often been a part of its
evolution. Studying these breakthroughs, transitions, and
revolutions, their stumbling-blocks and their triumphs, can help
illuminate the importance of the history of mathematics for its
teaching, learning, and appreciation. Some of the turning points
considered are the rise of the axiomatic method (most famously in
Euclid), and the subsequent major changes in it (for example, by
David Hilbert); the "wedding," via analytic geometry, of algebra
and geometry; the "taming" of the infinitely small and the
infinitely large; the passages from algebra to algebras, from
geometry to geometries, and from arithmetic to arithmetics; and the
revolutions in the late nineteenth and early twentieth centuries
that resulted from Georg Cantor's creation of transfinite set
theory. The origin of each turning point is discussed, along with
the mathematicians involved and some of the mathematics that
resulted. Problems and projects are included in each chapter to
extend and increase understanding of the material. Substantial
reference lists are also provided. Turning Points in the History of
Mathematics will be a valuable resource for teachers of, and
students in, courses in mathematics or its history. The book should
also be of interest to anyone with a background in mathematics who
wishes to learn more about the important moments in its
development.
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