Elementary Number Theory
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Elementary Number Theory
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Author : Gareth A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-07-31
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 1998-07-31 with Mathematics categories.
An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
A Guide To Elementary Number Theory
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Author : Underwood Dudley
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-12-31
A Guide To Elementary Number Theory written by Underwood Dudley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-31 with Mathematics categories.
An introductory guide to elementary number theory for advanced undergraduates and graduates.
Elementary Theory Of Numbers
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Author : Hsiung
language : en
Publisher: Allied Publishers
Release Date : 1995
Elementary Theory Of Numbers written by Hsiung and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Elementary Number Theory
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Author : James S. Kraft
language : en
Publisher: CRC Press
Release Date : 2014-11-24
Elementary Number Theory written by James S. Kraft and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-24 with Mathematics categories.
Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the text covers linear Diophantine equations; unique factorization; congruences; Fermat’s, Euler’s, and Wilson’s theorems; order and primitive roots; and quadratic reciprocity. The authors also discuss numerous cryptographic topics, such as RSA and discrete logarithms, along with recent developments. The book offers many pedagogical features. The "check your understanding" problems scattered throughout the chapters assess whether students have learned essential information. At the end of every chapter, exercises reinforce an understanding of the material. Other exercises introduce new and interesting ideas while computer exercises reflect the kinds of explorations that number theorists often carry out in their research.
Elementary Number Theory
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Author : David M. Burton
language : en
Publisher:
Release Date : 2007
Elementary Number Theory written by David M. Burton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Number theory categories.
Elementary Number Theory, Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Elementary Number Theory With Programming
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Author : Marty Lewinter
language : en
Publisher: John Wiley & Sons
Release Date : 2015-05-06
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 2015-05-06 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 With Applications
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Author : Thomas Koshy
language : en
Publisher: Academic Press
Release Date : 2002
Elementary Number Theory With Applications written by Thomas Koshy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Elementary Number Theory focuses on number theory's role in the rapid development of art, coding theory, cryptology, computer science, and other necessities of modern life - confirming that human ingenuity and creativity are boundless.
Elementary Number Theory And Its Applications
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Author : Kenneth H. Rosen
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1993
Elementary Number Theory And Its Applications written by Kenneth H. Rosen and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
New edition of a standard text. Integrates classical material with applications to cryptography and computer science. The author is with AT&T Bell Labs. Annotation copyright Book News, Inc. Portland, Or.
Ebook Elementary Number Theory
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Author : David Burton
language : en
Publisher: McGraw Hill
Release Date : 2010-06-16
Ebook Elementary Number Theory written by David Burton and has been published by McGraw Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-16 with Mathematics categories.
Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Elementary Number Theory
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Author : Underwood Dudley
language : en
Publisher: Courier Corporation
Release Date : 2012-06-04
Elementary Number Theory written by Underwood Dudley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-04 with Mathematics categories.
Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.