PirateBay Download | crawford m introduction number theory 2ed 2008

crawford m introduction number theory 2ed 2008

Type:: E-books
Files:: 1
Size:: 36.5 MB
Uploaded On:: Aug. 31, 2022, 10:05 a.m.
Added By:: andryold1
Seeders:: 4
Leechers:: 0
Info Hash:: D8B6E154BF1ED10F9F9D34D59D141B5E56DA220C

Textbook in PDF format A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more. Learn the fundamentals of number theory from former MATHCOUNTS, AHSME, and AIME perfect scorer Mathew Crawford. Topics covered in the book include primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much more. The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes motivated solutions to these problems, through which concepts and curriculum of number theory are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains hundreds of problems. The solutions manual contains full solutions to nearly every problem, not just the answers. This book is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of number theory will find this book an instrumental part of their mathematics libraries. Number Theory How to Use This Book Acknowledgements Integers: The Basics Introduction Making Integers Out of Integers Integer Multiples Divisibility of Integers Divisors Using Divisors Mathematical Symbols Summary Primes and Composites Introduction Primes and Composites Identifying Primes I Identifying Primes II Summary Multiples and Divisors Introduction Common Divisors Greatest Common Divisors (GCDs) Common Multiples Remainders Multiples, Divisors, and Arithmetic The Euclidean Algorithm Summary Prime Factorization Introduction Factor Trees Factorization and Multiples Factorization and Divisors Rational Numbers and Lowest Terms Prime Factorization and Problem Solving Relationships Between LCMs and GCDs Summary Divisor Problems Introduction Counting Divisors Divisor Counting Problems Divisor Products Summary Special Numbers Introduction Some Special Primes Factorials, Exponents and Divisibility Perfect, Abundant, and Deficient Numbers Palindromes Summary Algebra With Integers Introduction Problems Summary Base Numbers Introduction Counting in Bundles Base Numbers Base Number Digits Converting Integers Between Bases Unusual Base Number Problems Summary Base Number Arithmetic Introduction Base Number Addition Base Number Subtraction Base Number Multiplication Base Number Division and Divisibility Summary Units Digits Introduction Units Digits in Arithmetic Base Number Units Digits Unit Digits Everywhere! Summary Decimals and Fractions Introduction Terminating Decimals Repeating Decimals Converting Decimals to Fractions . Base Numbers and Decimal Equivalents Summary Introduction to Modular Arithmetic Introduction Conguence Residius Addition and Subtraction Multiplications and Exponentions Patterns and Explorations Summary Divisibility Rules Introduction Divisibility Rules Divisibility Rules with Algebra Summary Linear Congruences Introduction Modular Inverses and Simple Linear Congruences Solving Linear Congruences Systems of Linear Congruences Summary Number Sense Introduction Familiar Factors and Divisibility Algebraic Methods of Arithmetic Useful Forms of Numbers Simplicity Summary Hints to Selected Problems Index

Get This Torrent

Crawford M. Introduction to Number Theory 2ed 2008.pdf 36.5 MB

Details for: Crawford M. Introduction to Number Theory 2ed 2008

crawford m introduction number theory 2ed 2008

Similar Posts: