![]() ![]() Note that the symbol d n is dierent from the fraction symbol d/n. The symbol d - n means that d does not divide n. (Alternate terms are: d is a divisor of n, or d is a factor of n, or n is a multiple of d.) This relationship between d and n is symbolized d n. Of particular importance in this text is the author's emphasis on the value of numerical examples in number theo. 1.1 Denition The number d divides the number n if there is a k such that n dk. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory. The next chapter -Congruences and its Basic Properties includes elementary properties of congruences, residue systems, Fermats Little theorem, applications of. 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.Īmong 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. 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. ![]() 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. ![]()
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