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Books > Science & Mathematics > Mathematics > History of mathematics
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Combinatorics: Ancient & Modern (Hardcover, New)
Loot Price: R3,595
Discovery Miles 35 950
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Combinatorics: Ancient & Modern (Hardcover, New)
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Who first presented Pascal's triangle? (It was not Pascal.) Who
first presented Hamiltonian graphs? (It was not Hamilton.) Who
first presented Steiner triple systems? (It was not Steiner.) The
history of mathematics is a well-studied and vibrant area of
research, with books and scholarly articles published on various
aspects of the subject. Yet, the history of combinatorics seems to
have been largely overlooked. This book goes some way to redress
this and serves two main purposes: 1) it constitutes the first
book-length survey of the history of combinatorics; and 2) it
assembles, for the first time in a single source, researches on the
history of combinatorics that would otherwise be inaccessible to
the general reader. Individual chapters have been contributed by
sixteen experts. The book opens with an introduction by Donald E.
Knuth to two thousand years of combinatorics. This is followed by
seven chapters on early combinatorics, leading from Indian and
Chinese writings on permutations to late-Renaissance publications
on the arithmetical triangle. The next seven chapters trace the
subsequent story, from Euler's contributions to such wide-ranging
topics as partitions, polyhedra, and latin squares to the 20th
century advances in combinatorial set theory, enumeration, and
graph theory. The book concludes with some combinatorial
reflections by the distinguished combinatorialist, Peter J.
Cameron. This book is not expected to be read from cover to cover,
although it can be. Rather, it aims to serve as a valuable resource
to a variety of audiences. Combinatorialists with little or no
knowledge about the development of their subject will find the
historical treatment stimulating. A historian of mathematics will
view its assorted surveys as an encouragement for further research
in combinatorics. The more general reader will discover an
introduction to a fascinating and too little known subject that
continues to stimulate and inspire the work of scholars today.
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