Number theory and its history.
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Number theory and its history.

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Published .
Written in English

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Open LibraryOL19620768M

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Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued mathematician Carl Friedrich Gauss (–) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics.". Get this from a library! Number theory and its history. [Øystein Ore] -- This book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most books on number theory in two important ways: first, it presents the principal ideas. Nov 03,  · ‘A friendly introduction to number theory' by Joseph H. Silverman is a great book. It assumes nothing more than basic high school level knowledge, and introduces most of the concepts of elementary number theory at an undergraduate level. The prose. Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.

In this book you dive into mathematical arguments. Number Theory is right for this in part because of its accessibility. But always keep in mind the caution: do not underestimate the material. You will find this subject hard, albiet rewarding. Prerequisites We require only Calculus I. . May 26,  · Number theory and its history Item Preview remove-circle Number theory, Mathematics, Zahlentheorie Publisher New York, McGraw-Hill Book Co. Internet Archive Books. American Libraries. Uploaded by RolandoJ on May 26, SIMILAR ITEMS (based on metadata) Pages: Number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, ). Sometimes called “higher arithmetic,” it is among the oldest and most natural of mathematical pursuits. Number theory has always fascinated amateurs as well as professional mathematicians. In. Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of by:

Classical Greek and Indian mathematicians made studies of the theory of rational numbers, as part of the general study of number theory. The best known of these is Euclid's Elements, dating to roughly BC. Of the Indian texts, the most relevant is the Sthananga Sutra, which also covers number theory as part of a general study of mathematics. through the Theory of Numbers. Some Typical Number Theoretic Questions The main goal of number theory is to discover interesting and unexpected rela-tionships between different sorts of numbers and to prove that these relationships are true. In this section we . This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn 4/5(1). Elementary Number Theory, Sixth Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps readers explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available.