Number Theory related resources at ArtofProblemSolving.com

1. [PDF]

   Number Theory

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   by N Sato - Cited by 1 - Related articles
   This set of notes on number theory was originally written in 1995 for students ... not a replacement but rather a supplement to a number theory textbook; ...
   
2. [PDF]

   Olympiad Number Theory: An Abstract Perspective

   www.artofproblemsolving.com/Resources/Papers/MildorfNT.pdf

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   by TJ Mildorf - 2010 - Related articles
   This paper develops some basic theorems in elementary number theory, ... discussion, which develops elementary number theory and modular arithmetic ...
   
3. [PDF]

   Introduction to Number Theory - Art of Problem Solving

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   algebraic number theory, 282. AMC, ix. American Mathematics Competitions, see AMC. American Regions Math League, see ARML. ARML, x art, see culture ...
   
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   Introduction to Number Theory - Art of Problem Solving

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   CONTENTS. Contents. Number Theory iii. How to Use This Book v. Acknowledgements ix. 1 Integers: The Basics. 1. 1.1. Introduction . ...
   
5. [PDF]

   Introduction to Number Theory - Art of Problem Solving

   www.artofproblemsolving.com/Store/products/intro.../exc2.pdf

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   Nothing endures but change. – Heraclitus. 262. Excerpt from Art of Problem Solving's Introduction to Number Theory by Mathew Crawford. Copyrighted material ...
   
6. [PDF]

   Introduction to Number Theory - Art of Problem Solving

   www.artofproblemsolving.com/Store/products/intro.../exc1.pdf

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   лллл. Most people would sooner die than think; in fact, they do so. – Bertrand Russell. 141. Excerpted from Art of Problem Solving Introduction to Number Theory ...
   
7. [PDF]

   The Art of Problem Solving Pre-Test Introduction to Number Theory

   www.artofproblemsolving.com/Store/products/intro.../pretest.pdf

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   Introduction to Number Theory. If you've mastered division, remainders, integer exponents and basic linear equations as illus- trated in the problems below, then ...
   
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   The Art of Problem Solving Post-Test Introduction to Number Theory

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   to Number Theory would largely serve as a review for you. Answers to these problems are on the following page. Do not use a calculator. 1. Divisors of integers. ...
   
9. [PDF]

   Discrete Math Problem Solving for Middle School Students

   www.artofproblemsolving.com/Resources/Files/NCTM08talk.pdf

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   10 Apr 2008 – Number Theory. Graph Theory ..... Number Theory & Counting. MATHCOUNTS 2008 ..... Introduction to Number Theory by M. Crawford ...
   
10. [PDF]

    Why Discrete Math Is Important by David Patrick Reprinted from ...

    www.artofproblemsolving.com/Resources/Papers/DiscreteMath.pdf

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    combinatorics, probability, number theory, set theory, logic, algorithms, and graph theory. Because discrete math does not figure prominently in most states' ...
    
11. [PDF]

    Promotional Booklet

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    Introduction to Number Theory by Mathew Crawford. In addition, the .... A thorough introduction for students in grades 7-10 to number theory topics such as ...
    
12. [PDF]

    Contents

    www.artofproblemsolving.com/Store/products/prealgebra/toc.pdf

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    CONTENTS. 3 Number Theory. 92. 3.1. Multiples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92. 3.2. DivisibilityTests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 ...
    
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    Contents

    www.artofproblemsolving.com/Store/products/ktm2/toc.pdf

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    CONTENTS. 5 Number Theory. 95. 5.1. Squaresandcubes . . . . . . . . . . . . . . . . . . . 97. 5.2. Powers and exponents . . . . . . . . . . . . . . . . 98. 5.3. Orderofoperations . ...
    
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    Predicting Improper Fractional Base Integer Characteristics

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    by B Dorminy - Related articles
    I then used number theory to evaluate the divisibility requirements of the numbers, and discovered a recursive formula for the smallest integer with a specific ...
    
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    The Calculus Trap by Richard Rusczyk Reprinted from www ...

    www.artofproblemsolving.com/Resources/Papers/CalculusTrap.pdf

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    students to complex problems in simpler areas of study, such as basic number theoryor geometry, rather than giving them their first taste of complicated ...
    
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    Lifting The Exponent Lemma (LTE)

    www.artofproblemsolving.com/Resources/Papers/LTE.pdf

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    7 Apr 2011 – relative of the classical Hensel's lemma (see [2]) in number theory (in both the statement and the idea of the proof). In this article we analyze this ...
    
17. [PDF]

    Art of Problem Solving Textbooks Do You Know Prealgebra?

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    Number Theory basics. (a) Find the least common multiple of 54 and 24. (b) Find the greatest common divisor of 288 and 684. (c) Find the least common multiple ...
    
18. [PDF]

    Order form 11-11

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    Introduction to Number Theory text. $42.00. Introduction to Number Theory Solutions Manual. $10.00. Introduction to Number Theory text and solutions (save $5) ...
    
19. [PDF]

    Contents

    www.artofproblemsolving.com/Store/products/compmath/toc.pdf

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    4: Number Theory.........................................................................129. 4.1: Primes and Divisibility..................................................................130. Sieve of Eratosthenes...
    
20. [PDF]

    Using the Integers

    www.artofproblemsolving.com/Store/products/ps-aops1/exc1.pdf

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    Math which involves the properties of integers is called number theory. 5.1 Divisibility. An integer n is divisible by a different integer m if n is an integral multiple ...
    
21. [PDF]

    Preface

    www.artofproblemsolving.com/Store/products/calculus/exc1.pdf

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    solving and to discrete mathematics (such as combinatorics and number theory) before “continuing on” to calculus. Art of Problem Solving has other textbooks ...
    
22. [PDF]

    Art of Problem Solving:

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    number theory, geometry, and counting and probability, aimed at the top 10-15% of mathematics students. These textbooks are designed to be appropriate for ...
    
23. [PDF]

    Asymptotic behavior of certain Ducci sequences

    www.artofproblemsolving.com/Resources/Papers/DucciSequences.pdf

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    by G BROCKMAN - Cited by 2 - Related articles
    A. Ludington Furno, Cycles of differences of integers, J. Number Theory 13 (1981), no. 2, 255–261. 24. J. Ginsburg, An interesting observation, Scripta Math. ...
    
24. [PDF]

    ⊳ 291 ⊲ Excerpted from Art of Problem Solving Volume 2 by Richard ...

    www.artofproblemsolving.com/Store/products/ps-aops2/index.pdf

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    natural logarithm, 85 non-Euclidean geometry, 251 normal vector, 127, 131 null graph, 275 number theory, 252–262. O(n), 87 oblique conics, 49 one to one, 70 ...
    
25. [PDF]

    Contents

    www.artofproblemsolving.com/Store/products/ps-aops2/toc.pdf

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    the ART of PROBLEM SOLVING. ⊳ -1. 22.5 GivenaFiniteNumberof... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247. 23 Number Theory. 252. 23.1 Divisibility . ...
    
26. [PDF]

    Excerpt from "Prealgebra" (C) 2011 AoPS Inc. www ...

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    number theory, 92–148 numerator, 149 obtuse angle, 385 obtuse triangle, 402 octagon, 397 opposite, 18 order of operations, 13, 54 organization importance of ...
    
27. [PDF]

    Excerpted from Art of Problem Solving Volume 1: the Basics by ...

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    modular arithmetic, 42. Napier, John, 12 natural numbers, 75 necessary and sufficient, 254 nontrivial, 253 null set, 247 number theory, 39 numerator, 75 octagon ...
    
28. [PDF]

    Intermediate Algebra

    www.artofproblemsolving.com/Store/products/interm.../exc2.pdf

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    A little number theory helped us find integer roots, so we hope that a similar method might help us find rational roots. Letting p and q be relatively prime integers ...