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Linear Congruences

By David A. Smith

This topic describes how to solve a linear congruence equation, details when a solution exists, and in such case, exactly how many solutions will occur. After stating and proving this main result we then work through many examples in detail, in each case solving linear congruence equations. Then inverses are covered, that is finding a multiplicative inverse of a given integer.

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Recent Addition: » 6th Grade Math


By David A. Smith, Publication Date: May 16, 2009, 4:22 pm
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Students, in 6th grade math, study integers, rational numbers, percents, exponents, patterns and relationships, graphing techniques, two and three dimensional figures, distance, perimeter, area, volume, and capacity. Mathematical modeling is experienced using materials and pictures to develop problem-solving techniques. Sixth grade math students also study percentages, fractions and decimals. Solving problems involving ratios and...

Recent Addition: » I Love Mathematics


June 16, 2009, 9:32 pm
I Love Mathematics

I love math, I love algebra, I love geometry, get all these I love mathematics designs and more. Each design has a big read heart with black text acclaiming your enthusiasm for mathematics....

Student Solutions Manual for Elementary Number Theory
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This latest edition of Kenneth Rosen's widely used Elementary Number Theory and Its Applications enhances the flexibility and depth of previous editions while preserving their strengths. Rosen effortlessly (more)
Elementary Number Theory: Second Edition
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Minimal prerequisites make this text ideal for a first course in number theory. Written in a lively, engaging style by the author of popular mathematics books, it features nearly 1,000 imaginative exercises (more)
Elementary Number Theory
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In this student-friendly text, Strayer presents all of the topics necessary for a first course in number theory. Additionally, chapter on primitive roots, Diophantine equations, and continued fractions (more)
An Introduction to the Theory of Numbers
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An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic (more)
Fundamentals of Number Theory
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Basic treatment, incorporating language of abstract algebra and a history of the discipline. Topics include unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution (more)
A Course in Number Theory and Cryptography (Graduate Texts in Mathematics)
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The purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. (more)

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