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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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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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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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A Beginner's Guide To Mathematica
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A Beginner's Guide To MathematicaA Beginner's Guide To Mathematica

Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed.
 
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Intuitionism: An Introduction (Study in Logic & Mathematics)
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Intuitionism: An Introduction (Study in Logic & Mathematics)Intuitionism: An Introduction (Study in Logic & Mathematics)

Intuitionistic mathematics involves discerning the truth of a given statement. This high-level introductory treatment assumes a strong mathematical background, bringing readers directly to the center of several different branches of intuitionistic mathematics. The author, a leader in the field of intuitionistic mathematics, employs condensed proofs and presumes a familiarity with classical theories. 1971 edition.
 
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