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Elementary Number Theory With Applications

Elementary Number Theory with Applications PDF

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Author: Thomas Koshy
Publisher: Elsevier
ISBN: 0080547095
Size: 64.69 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 800
View: 6006


This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East

Elementary Number Theory And Its Applications

Elementary Number Theory and Its Applications PDF

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Author: Kenneth H. Rosen
Publisher: Pearson College Division
ISBN: 9780321500311
Size: 73.67 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 752
View: 7346


This text blends classical theory with modern applications and is notable for its comprehensive exercise sets.

Elementary Number Theory With Applications 2e

Elementary Number Theory With Applications  2e PDF

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Author: Thomas Koshy
Publisher:
ISBN: 9788131218594
Size: 12.23 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 771
View: 6102



Elementary Number Theory With Programming

Elementary Number Theory with Programming PDF

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Author: Marty Lewinter
Publisher: John Wiley & Sons
ISBN: 1119062799
Size: 29.43 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 232
View: 2858


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

Elementary Number Theory PDF

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Author: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 144710613X
Size: 76.60 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 302
View: 3765


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.

Elementary Number Theory

Elementary Number Theory PDF

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Author: James S. Kraft
Publisher: CRC Press
ISBN: 1498702686
Size: 51.57 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 411
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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 With Applications

Elementary Number Theory with Applications PDF

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Author: Thomas Koshy
Publisher: Academic Press
ISBN: 9780124211728
Size: 46.21 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages : 704
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Elementare Zahlentheorie

Elementare Zahlentheorie PDF

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Author: R. Remmert
Publisher: Springer-Verlag
ISBN: 3034865945
Size: 34.27 MB
Format: PDF, Mobi
Category : Science
Languages : de
Pages : 276
View: 5697



Elementary Number Theory With Applications Student Solutions Manual

Elementary Number Theory with Applications  Student Solutions Manual PDF

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Author: Thomas Koshy
Publisher: Academic Press
ISBN: 9780124211735
Size: 29.31 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 704
View: 1116



Elementary Number Theory

Elementary Number Theory PDF

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Author: Kenneth H. Rosen
Publisher: Pearson
ISBN: 0134310055
Size: 55.26 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 768
View: 5618


This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Elementary Number Theory, Sixth Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps readers explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professors' feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.

Number Theory For Computing

Number Theory for Computing PDF

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Author: Song Y. Yan
Publisher: Springer Science & Business Media
ISBN: 3662040530
Size: 19.64 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 381
View: 5925


Taking readers from elementary number theory, via algorithmic, to applied number theory in computer science, this text introduces basic concepts, results, and methods, before going on to discuss their applications in the design of hardware and software, cryptography, and security. Aimed at undergraduates in computing and information technology, and presupposing only high-school math, this book will also interest mathematics students concerned with applications. XXXXXXX Neuer Text This is an essential introduction to number theory for computer scientists. It treats three areas, elementary-, algorithmic-, and applied number theory in a unified and accessible manner. It introduces basic concepts and methods, and discusses their applications to the design of hardware, software, cryptography, and information security. Aimed at computer scientists, electrical engineers and students the presentation presupposes only an understanding of high-school math.

Elementary Number Theory Primes Congruences And Secrets

Elementary Number Theory  Primes  Congruences  and Secrets PDF

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Author: William Stein
Publisher: Springer Verlag
ISBN: 9780387855240
Size: 47.37 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 166
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Classical number theory and elliptic curves are examined in this textbook, which moves on from elementary topics such as primes, continued fractions, and quadratic forms, to elliptic curves and their applications to algorithmic and number theory problems.

Elementary Number Theory

Elementary Number Theory PDF

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Author: Kenneth H. Rosen
Publisher:
ISBN: 9781292039541
Size: 11.22 MB
Format: PDF, Docs
Category : Number theory
Languages : en
Pages : 704
View: 439


Reflecting many years of academic feedback, this edition offers new examples, exercises and applications, while incorporating advancements and discoveries in number theory made in the past few years.

Number Theory With Applications

Number Theory with Applications PDF

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Author: James Andrew Anderson
Publisher: Pearson College Division
ISBN:
Size: 21.26 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 566
View: 2015


This book presents a self-contained logical development of basic number theory, supplemented with numerous applications and advanced topics. Focuses on the axiomatic development of number theory—showing how to prove theorems and understand the nature of number theory. Drawing applications from many areas—e.g., physics, statistics, computer science, mathematics, astronomy, cryptography, and mechanics, this book features extensive, detailed worked examples that illustrate many number theoretic patterns. Treats applications in depth with substantive discussion of the context of each application.

Elements Of Number Theory

Elements of Number Theory PDF

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Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387217355
Size: 52.33 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 256
View: 275


Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

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