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Introduction to Number Theory in Mathematics Contests: Book 2
 
Titu Andreescu University of Texas at Dallas, Richardson, Texas
A publication of XYZ Press
Hardcover ISBN:  979-8-9890528-6-8
Product Code:  XYZ/53
List Price: $59.95
AMS Member Price: $47.96
Sale Price: $35.97
Please note AMS points can not be used for this product
Click above image for expanded view
Introduction to Number Theory in Mathematics Contests: Book 2
Titu Andreescu University of Texas at Dallas, Richardson, Texas
A publication of XYZ Press
Hardcover ISBN:  979-8-9890528-6-8
Product Code:  XYZ/53
List Price: $59.95
AMS Member Price: $47.96
Sale Price: $35.97
Please note AMS points can not be used for this product
  • Book Details
     
     
    XYZ Series
    Volume: 532024; 239 pp
    MSC: Primary 00; 97

    The second volume, Book 2, of Introduction to Number Theory in Mathematics Contests starts with focusing on the most important classical, basically polynomial congruences, and arithmetic functions. It features beautiful problems with unique and interesting results, such as the Erdös-Ginzburg-Ziv theorem (stating that among any \(2n - 1\) integers, one can find \(n\) whose sum is divisible by \(n\)), and also some other classical results arising from the Prime Number Theorem.

    The important (because of its many applications) “lifting the exponent” lemma is present in the book as well along with the beautiful theorem of Lucas about binomial coefficients modulo a prime, Lagrange’s theorem on the number of solutions of a polynomial congruence modulo a prime, and Gauss’s theorem about the existence/non-existence of primitive roots modulo an arbitrary positive integer.

    A publication of XYZ Press. Distributed in North America by the American Mathematical Society.

    Readership

    This book is a great resource for those who have basic mathematics knowledge, especially in Algebra, and want to learn more about fundamental concepts in Number Theory. Students wishing to participate in math competitions, as well as those looking to learn more about the beauty of mathematics, will benefit the most by having this book on their shelves.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 532024; 239 pp
MSC: Primary 00; 97

The second volume, Book 2, of Introduction to Number Theory in Mathematics Contests starts with focusing on the most important classical, basically polynomial congruences, and arithmetic functions. It features beautiful problems with unique and interesting results, such as the Erdös-Ginzburg-Ziv theorem (stating that among any \(2n - 1\) integers, one can find \(n\) whose sum is divisible by \(n\)), and also some other classical results arising from the Prime Number Theorem.

The important (because of its many applications) “lifting the exponent” lemma is present in the book as well along with the beautiful theorem of Lucas about binomial coefficients modulo a prime, Lagrange’s theorem on the number of solutions of a polynomial congruence modulo a prime, and Gauss’s theorem about the existence/non-existence of primitive roots modulo an arbitrary positive integer.

A publication of XYZ Press. Distributed in North America by the American Mathematical Society.

Readership

This book is a great resource for those who have basic mathematics knowledge, especially in Algebra, and want to learn more about fundamental concepts in Number Theory. Students wishing to participate in math competitions, as well as those looking to learn more about the beauty of mathematics, will benefit the most by having this book on their shelves.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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