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This book brings together 10 experiments which introduce historical
perspectives into mathematics classrooms for 11 to 18-year-olds.
The authors suggest that students should not only read ancient
texts, but also should construct, draw and manipulate. The
different chapters refer to ancient Greek, Indian, Chinese and
Arabic mathematics as well as to contemporary mathematics. Students
are introduced to well-known mathematicians-such as Gottfried
Leibniz and Leonard Euler-as well as to less famous practitioners
and engineers. Always, there is the attempt to associate the
experiments with their scientific and cultural contexts. One of the
main values of history is to show that the notions and concepts we
teach were invented to solve problems. The different chapters of
this collection all have, as their starting points, historic
problems-mathematical or not. These are problems of exchanging and
sharing, of dividing figures and volumes as well as engineers'
problems, calculations, equations and congruence. The mathematical
reasoning which accompanies these actions is illustrated by the use
of drawings, folding, graphical constructions and the production of
machines.
This book traces the life of Cholesky (1875-1918), and gives his
family history. After an introduction to topography, an English
translation of an unpublished paper by him where he explained his
method for linear systems is given, studied and replaced in its
historical context. His other works, including two books, are also
described as well as his involvement in teaching at a superior
school by correspondence. The story of this school and its founder,
Leon Eyrolles, are addressed. Then, an important unpublished book
of Cholesky on graphical calculation is analyzed in detail and
compared to similar contemporary publications. The biography of
Ernest Benoit, who wrote the first paper where Choleskys method is
explained, is provided. Various documents, highlighting the life
and the personality of Cholesky, end the book.
This book traces the life of Cholesky (1875-1918), and gives his
family history. After an introduction to topography, an English
translation of an unpublished paper by him where he explained his
method for linear systems is given, studied and replaced in its
historical context. His other works, including two books, are also
described as well as his involvement in teaching at a superior
school by correspondence. The story of this school and its founder,
Leon Eyrolles, are addressed. Then, an important unpublished book
of Cholesky on graphical calculation is analyzed in detail and
compared to similar contemporary publications. The biography of
Ernest Benoit, who wrote the first paper where Choleskys method is
explained, is provided. Various documents, highlighting the life
and the personality of Cholesky, end the book."
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