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U math series: Number Theory

  • Math
  • Categories:Mathematics
  • Language:Italian(Translation Services Available)
  • Publication date:April,2018
  • Pages:224
  • Retail Price:(Unknown)
  • Size:170mm×240mm
  • Page Views:314
  • Words:(Unknown)
  • Star Ratings:
  • Text Color:Black and white
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Feature

★Rights of several titles sold in simplified Chinese.
★U Math is the series for mathematical excellence, curated by the Mathesis’ section of Udine, and is aimed at students who want to take a step forward and for teachers who want to help them.
★The books of the U Math series are long-seller. The sales of each volume are constant over the years.
★The U Math series collects in-depth mathematical texts, some of which are inspired by mathematics competitions, which present a wide spectrum of issues related to problem-solving: from number theory to geometry, from combinatorics to algebra. The spirit is to enhance excellence, promote the culture of merit and the quality of learning in the school system.
★English sample and English content available.

The series includes 19 titles:
Combinatorial calcolus
2D Geometry for Math Competitions
Number Theory
PhiQuadro's Mathematical Games
3D Geometry for Math Competitions
Demonstrative Techniques
Modular Arithmetic
Probability
Training manual for math competitions
Combinatory by problems
Problem Solving Geometry
Dialogues on Logic
Mathematics of the Olympics
Problem solving in algebra and numbers theory
Bogota's case
Consolidation manual for mathematics competitions

The book for Middle School Students:
Playing with Math and Problem Solving

The book for High School Students:
Interdisciplinary paths between literature and mathematics
The history of mathematics. Mathematics in history

Description

The text is the first of two volumes dedicated to the Theory of Numbers, one of the branches of mathematics that has historically produced questions of considerable interest, such as Fermat's Last Theorem and the still unresolved Riemann Hypothesis, on the distribution of prime numbers, and which has several applications for example in the security of cryptographic systems for the secret transmission of data.
The issues addressed in the text, which are outside the guidelines of traditional scholastic programs, concern the principle of induction and some of its equivalent formulations, the problem of divisibility and factoring of integers, the theory of p-adica evaluation and some types of diophantine equations such as the linear equations and the equations of Pell. The book is accompanied by over 200 examples and exercises, some of which are taken from national mathematical competitions.
The book aims to provide teachers and students of secondary schools of medium-level tools of the theory of numbers needed to address national and international mathematical competitions and mathematical tests of access to the University Schools of Excellence. Thanks to the choice of the topics addressed, the text lends itself to be used also in the university courses of elementary Algebra.

Author

Salvatore Damantino, a graduate in mathematics, has been teaching since 2008 and since 2015 he is a lecturer at the "Fermo Solari" Institute of Tolmezzo UD. From 2017 he is President of the Mathesis section of Udine for which he organizes training activities for teachers and students, and math competitions. Speaker at some conferences of the Italian Mathematical Union as part of the National Mathematics Olympics project, he regularly holds lessons in internships for secondary school students and has published texts on problem-solving.

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