Elementary Introduction To Number Theory
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Elementary Introduction To Number Theory
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Author : Calvin T. Long
language : en
Publisher: D.C. Heath
Release Date : 1972
Elementary Introduction To Number Theory written by Calvin T. Long and has been published by D.C. Heath this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Number Theory
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Author : Daniel Duverney
language : en
Publisher: World Scientific
Release Date : 2010
Number Theory written by Daniel Duverney and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. These topics are covered in 12 chapters and more than 200 solved exercises. Clear, concise, and self-contained, this textbook may be used by undergraduate and graduate students, as well as highschool mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, this fascinating branch of mathematics.
Elementary Number Theory
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Author : Gareth A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elementary Number Theory written by Gareth A. Jones and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el ementary group theory. It is only in the last three chapters, where we treat more advanced topics, including recent developments, that we require greater mathematical background; here we use some basic ideas which students would expect to meet in the first year or so of a typical undergraduate course in math ematics. Throughout the book, we have attempted to explain our arguments as fully and as clearly as possible, with plenty of worked examples and with outline solutions for all the exercises. There are several good reasons for choosing number theory as a subject. It has a long and interesting history, ranging from the earliest recorded times to the present day (see Chapter 11, for instance, on Fermat's Last Theorem), and its problems have attracted many of the greatest mathematicians; consequently the study of number theory is an excellent introduction to the development and achievements of mathematics (and, indeed, some of its failures). In particular, the explicit nature of many of its problems, concerning basic properties of inte gers, makes number theory a particularly suitable subject in which to present modern mathematics in elementary terms.
Elementary Introduction To Number Theory
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Author : Calvin T. Long
language : en
Publisher: Prentice Hall
Release Date : 1987
Elementary Introduction To Number Theory written by Calvin T. Long and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
This accessible Third Edition incorporates especially complete & detailed arguments, illustrating definitions, theorems, & subtleties of proof with explicit numerical examples whenever possible.
Elementary Number Theory
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Author : Ethan D. Bolker
language : en
Publisher: Courier Corporation
Release Date : 2012-06-14
Elementary Number Theory written by Ethan D. Bolker and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Mathematics categories.
This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.
Elementary Number Theory Primes Congruences And Secrets
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Author : William Stein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-28
Elementary Number Theory Primes Congruences And Secrets written by William Stein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-28 with Mathematics categories.
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predeterminedsecret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.
Elementary Number Theory
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Author : James K. Strayer
language : en
Publisher: Waveland Press
Release Date : 2001-12-04
Elementary Number Theory written by James K. Strayer and has been published by Waveland Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-04 with Mathematics categories.
In this student-friendly text, Strayer presents all of the topics necessary for a first course in number theory. Additionally, chapters on primitive roots, Diophantine equations, and continued fractions allow instructors the flexibility to tailor the material to meet their own classroom needs. Each chapter concludes with seven Student Projects, one of which always involves programming a calculator or computer. All of the projects not only engage students in solving number-theoretical problems but also help familiarize them with the relevant mathematical literature.
Elementary Number Theory With Programming
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Author : Marty Lewinter
language : en
Publisher: John Wiley & Sons
Release Date : 2015-06-02
Elementary Number Theory With Programming written by Marty Lewinter and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-02 with Mathematics categories.
A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.
Elementary Number Theory
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Author : Charles Vanden Eynden
language : en
Publisher: Waveland Press
Release Date : 2006-02-15
Elementary Number Theory written by Charles Vanden Eynden and has been published by Waveland Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-15 with categories.
This practical and versatile text evolved from the author’s years of teaching experience and the input of his students. Vanden Eynden strives to alleviate the anxiety that many students experience when approaching any proof-oriented area of mathematics, including number theory. His informal yet straightforward writing style explains the ideas behind the process of proof construction, showing that mathematicians develop theorems and proofs from trial and error and evolutionary improvement, not spontaneous insight. Furthermore, the book includes more computational problems than most other number theory texts to build students’ familiarity and confidence with the theory behind the material. The author has devised the content, organization, and writing style so that information is accessible, students can gain self-confidence with respect to mathematics, and the book can be used in a wide range of courses—from those that emphasize history and type A problems to those that are proof oriented.
An Introductory Course In Elementary Number Theory
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Author : Wissam Raji
language : en
Publisher: Lulu.com
Release Date : 2016-08-18
An Introductory Course In Elementary Number Theory written by Wissam Raji and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-18 with Education categories.
These notes serve as course notes for an undergraduate course in number theory. Most if not all universities worldwide offer introductory courses in numbertheory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be addressedin a course in number theory. Proofs of basic theorems are presented inan interesting and comprehensive way that can be read and understood even bynon-majors with the exception in the last three chapters where a background inanalysis, measure theory and abstract algebra is required. The exercises are carefullychosen to broaden the understanding of the concepts. Moreover, these notesshed light on analytic number theory, a subject that is rarely seen or approachedby undergraduate students. One of the unique characteristics of these notes is thecareful choice of topics and its importance in the theory of numbers. The freedomis given in the last two chapters because of the advanced nature of the topics thatare presented. Thanks to professor Pavel Guerzhoy from University of Hawaii for his contributionin chapter six on continued fraction and to Professor Ramez Maalouf fromNotre Dame University, Lebanon for his contribution to chapter eight.