4 edition of **Introduction to number theory** found in the catalog.

- 333 Want to read
- 25 Currently reading

Published
**1982**
by Springer-Verlag in Berlin, New York
.

Written in English

- Number theory.

**Edition Notes**

Statement | Hua Loo Keng ; translated from the Chinese by Peter Shiu. |

Classifications | |
---|---|

LC Classifications | QA241 .H7513 1982 |

The Physical Object | |

Pagination | xviii, 572 p. ; |

Number of Pages | 572 |

ID Numbers | |

Open Library | OL3481312M |

ISBN 10 | 0387108181 |

LC Control Number | 82000645 |

This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. $\begingroup$ +1 Their A Classical Introduction to Modern Number Theory is an excellent treatise on number theory that covers a lot of material in an intuitive and friendly, yet rigorous, presentation.

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topiCited by: 6. Section Introduction to Number Theory We have used the natural numbers to solve problems. This was the right set of numbers to work with in discrete mathematics because we always dealt with a whole number of things. The natural numbers have been a tool.

An introduction to some beautiful results of Number Theory An Introduction to Number Theory. but you might like to have a go yourself, or you can look it up in any introductory book on number theory. The first theorem we're going to prove is called Fermat's Little Theorem, sometimes, confusingly, known as FLT (confusing because FLT is. Number theory and algebra play an increasingly signiﬁcant role in computing and communications, as evidenced by the striking applications of these subjects to such ﬁelds as cryptography and coding theory. My goal in writing this book was to provide an introduction to number theory and algebra, with an .

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Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth by: 6.

This book gives the kids the tools to think for themselves and try different approaches to a problem, while guiding them with questions along the way. My oldest, who is was introduced to this book at 10 years old and the lessons still resonate with him today.4/4(5).

An Introduction to the Theory of Numbers: Niven, Ivan, Zuckerman, Herbert S., Montgomery, Hugh L.: : by: One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics.3/5(1).

Introduction to Number Theory: Keng, Hua Loo: : by: 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, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much/5.

Because Number Theory is generally introduced later in a High School or College curriculum, this book is a bit unusual. It goes over the relevant topics, but it's a bit tedious with me (as I have a Math degree). Reasoning with possibly sharing the topic with family.

Some advanced books are dense/5(3). Introduction To Number - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily. A Friendly Introduction to Number Theory is an introductory undergraduate text designed to entice non-math majors into learning some mathematics, while at the same time teaching them how to think mathematically.

The exposition is informal, with a wealth of numerical examples that are analyzed for patterns and used to make conjectures. Preface. Mathematics is the queen of sciences and arithmetic the queen of mathematics Carl Friedrich Gauss. Number theory, known to Gauss as “arithmetic,” studies the properties of the integers: − 3,−2,−1,0,1,2,3.

Although the integers are familiar, and their properties might therefore seem simple, it is instead a very deep subject. Introduction to number theory by Hua, Luogeng, Publication date Topics Number theory China-America Digital Academic Library (CADAL) Contributor Internet Archive Language English.

Translation of: Shu lun dao yin Bibliography: p. [] Includes index Access-restricted-item Internet Archive Books. Scanned in China. Uploaded Pages: Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem.

The aim of this book is to enable talented students to tackle the sort of problems on number theory which are set in mathematics competitions. Topics include primes and divisibility, congruence arithmetic and the representation of real numbers by decimals.

A useful summary of techniques and hints is /5(6). These notes serve as course notes for an undergraduate course in number the-ory. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course.

The notes contain a useful introduction to important topics that need to be ad-dressed in a course in number theory. 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.

The book is divided into two parts. Part A covers key. The book starts with basic properties of integers (e.g., divisibility, unique factorization), and touches on topics in elementary number theory (e.g., arithmetic modulo n, the distribution of primes, discrete logarithms, primality testing, quadratic reciprocity) and abstract algebra (e.g., groups, rings, ideals, modules, fields and vector /5(3).

The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, in addition to a careful presentation of the standard material usually taught in a first course in elementary number.

‘A friendly introduction to number theory' by Joseph H. Silverman is a great book. It assumes nothing more than basic high school level knowledge, and introduces most of the concepts of elementary number theory at an undergraduate level. The prose is lucid and the tone, conversational.

A thorough introduction for students in grades 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.

In this section we will meet some of the concerns of Number Theory, and have a brief revision of some of the relevant material from Introduction to Algebra. Overview Number theory is about properties of the natural numbers, integers, or rational numbers, such as the following: • Given a natural number n, is it prime or composite?File Size: KB.

The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices.

Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory. The NOOK Book (eBook) of the Introduction to Number Theory by Richard Michael Hill at Barnes & Noble. FREE Shipping on $35 or more! Due to COVID, orders may be : Introduction to Number Theory Solutions Manual by Mathew Crawford and a great selection of related books, art and collectibles available now at