Download Now Although number theorists have sometimes shunned and even disparaged computation in the past, today's applications of number theory to cryptography and computer security demand vast arithmetical computations.

Edwards Although number theorists have sometimes shunned and even disparaged computation in the past, today's applications of number theory to cryptography and computer security demand vast arithmetical computations.

These demands have shifted the focus of studies in number theory and have changed attitudes toward computation itself. The important new applications have attracted a great many students to number theory, but the best reason for studying the subject remains what it was when Gauss published his classic Disquisitiones Arithmeticae in Number theory is the equal of Euclidean geometry—some would say it is superior to Euclidean geometry—as a model of pure, logical, deductive thinking.

An arithmetical computation, after all, is the purest form of deductive argument.

Higher Arithmetic explains number theory in a way that gives deductive reasoning, including algorithms and computations, the central role. Hands-on experience with the application of algorithms to computational examples enables students to master the fundamental ideas of basic number theory.

This is a worthwhile goal for any student of mathematics and an essential one for students interested in the modern applications of number theory. For his masterly mathematical exposition he was awarded a Steele Prize as well as a Whiteman Prize by the American Mathematical Society.

Readership Undergraduates, graduate students, and research mathematicians interested in number theory. Gauss in his Disquisitiones Arithmeticae, almost as though Gauss had revised that classic for 21st-century readers.The Higher Arithmetic: An Introduction to the Theory of Numbers.

Cambridge University Press, ISBN: It has a very different style from the usual theorem-proof-exercise setup of usual textbooks.

Ireland, Kenneth F., and Michael I. Rosen. A Classical Introduction to Modern Number Theory. Springer, ISBN: Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers.

German mathematician Carl Friedrich Gauss () said, "Mathematics is the queen of the sciences - and number theory is the queen of mathematics.". Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers.

German mathematician Carl Friedrich Gauss () said, "Mathematics is the queen of the sciences - and number theory is the queen of mathematics.". Buy The Higher Arithmetic: An Introduction to the Theory of Numbers on regardbouddhiste.com FREE SHIPPING on qualified orders/5(7).

The Higher Arithmetic: An Introduction to the Theory of Numbers; H. Davenport The Higher Arithmetic: An Introduction to the Theory of Numbers; H. The Higher Arithmetic: An Introduction to the Theory of Numbers (Eighth Edition) written by H.

Davenport. Published by Cambridge University Press in This item is a Trade Paperback edition. UK printing. This item is Used and is listed as being in Very Good condition.

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Introduction to Higher Mathematics