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Fundamental Concepts of Higher Algebra
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Fundamental Concepts of Higher AlgebraFundamental Concepts of Higher Algebra

Preface
The existence of the digital computer and other devices using binary digits has resulted in a renewal of interest in the mathematical theory of finite fields. The main exposition of the foundations of the subject was written over fifty years ago and has been out of print for many years. 

 
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Tags: years, subject, written, foundations, exposition, Fundamental, years, Algebra, Concepts, Higher, Fundamental
First Course in Algebra and Number Theory
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First Course in Algebra and Number TheoryFirst Course in Algebra and Number Theory

Table of Contents 

I. Elementary Number Theory 
1-1. DIVISIBILITY 2 
1-2. THE DIVISION ALGORITHM 6 
1-3. THE GREATEST COMMON DIVISOR 13 
1-4. UNIQUE FACTORIZATION 21 
1-5. A CONVENIENT NOTATION 28 
1-6. LINEAR DIOPHANTINE EQUATIONS 42 
1-7. CONGRUENCE 50 
1-8. RADIX REPRESENTATION 64 
MISCELLANEOUS PROBLEMS 83


 
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Tags: Theory, Number, CONGRUENCE, RADIX, EQUATIONS, Number, Theory, Algebra, Course, First
A Book of Abstract Algebra
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A Book of Abstract AlgebraA Book of Abstract Algebra

This text is aimed at the abstract or modern algebra course taken by junior and senior math majors and many secondary math education majors. A mid-level approach, this text features clear prose, an intuitive approach, and exercises organized around specific concepts. New to this edition are additional applications exercises to improve student learning.



 
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Tags: approach, exercises, majors, edition, concepts, Abstract, approach, Algebra
Number Theory: An Introduction to Mathematics
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Number Theory: An Introduction to MathematicsNumber Theory: An Introduction to Mathematics

Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.
 
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Tags: Number, topics, mathematics, Theory, algebra, Mathematics
Algebra II Essentials For Dummies
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Algebra II Essentials For DummiesAlgebra II Essentials For Dummies

Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only.
 
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Tags: Algebra, Essentials, Dummies, students, coursework, speed