Number Theory

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  • Engels
  • Paperback
  • 9780486682525
  • 02 januari 2000
  • 288 pagina's
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Samenvatting

Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic.
In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.
Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.
Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
02 januari 2000
Aantal pagina's
288
Illustraties
Nee

Betrokkenen

Hoofdauteur
George Andrews
Tweede Auteur
Kay Andrews
Co Auteur
Mathematics
Hoofduitgeverij
INGP

Overige kenmerken

Editie
New edition
Extra groot lettertype
Nee
Product breedte
138 mm
Product hoogte
19 mm
Product lengte
216 mm
Studieboek
Ja
Verpakking breedte
139 mm
Verpakking hoogte
19 mm
Verpakking lengte
215 mm
Verpakkingsgewicht
302 g

EAN

EAN
9780486682525

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