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Books > Science & Mathematics > Mathematics > Algebra
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Elements of Algebra - Geometry, Numbers, Equations (Paperback, Softcover reprint of hardcover 1st ed. 1994)
Loot Price: R1,432
Discovery Miles 14 320
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Elements of Algebra - Geometry, Numbers, Equations (Paperback, Softcover reprint of hardcover 1st ed. 1994)
Series: Undergraduate Texts in Mathematics
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Algebra is abstract mathematics - let us make no bones about it -
yet it is also applied mathematics in its best and purest form. It
is not abstraction for its own sake, but abstraction for the sake
of efficiency, power and insight. Algebra emerged from the struggle
to solve concrete, physical problems in geometry, and succeeded
after 2000 years of failure by other forms of mathematics. It did
this by exposing the mathematical structure of geometry, and by
providing the tools to analyse it. This is typical of the way
algebra is applied; it is the best and purest form of application
because it reveals the simplest and most universal mathematical
structures. The present book aims to foster a proper appreciation
of algebra by showing abstraction at work on concrete problems, the
classical problems of construction by straightedge and compass.
These problems originated in the time of Euclid, when geometry and
number theory were paramount, and were not solved until th the 19
century, with the advent of abstract algebra. As we now know, alge
bra brings about a unification of geometry, number theory and
indeed most branches of mathematics. This is not really surprising
when one has a historical understanding of the subject, which I
also hope to impart."
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