Elementary Number Theory With Applications

Elementary Number Theory with Applications PDF Book Detail:
Author: Thomas Koshy
Publisher: Elsevier
ISBN: 0080547095
Size: 46.71 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 800
View: 1602

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Book Description: 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 With Programming

Elementary Number Theory with Programming PDF Book Detail:
Author: Marty Lewinter
Publisher: John Wiley & Sons
ISBN: 1119062764
Size: 56.52 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 232
View: 1090

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Book Description: Filling a much-needed gap in the current literature, this book expertly bridges the subjects of number theory and programming and features a multitude of examples and programming exercises in each chapter. It provides an introduction to elementary number theory with fundamental coverage of computer programming and is appropriate for students of mathematics and computer science alike who need to become acquainted with the most famous theorems, problems, and concepts of number theory. In addition, the authors provide a comprehensive presentation of the methodology and applications for readers with various levels of experience, and while theorems are provided, the authors avoid the standard theorem/proof format to aid in reader comprehension. The book features sample programs and research challenges at the end of each chapter for readers to work through, as well as an appendix that provides select answers to the chapter exercises. The authors also maintain a supplementary material website that provides additional working examples of the computer programs. Topical coverage includes: special numbers; Fibonacci sequence, primes, and the Pell equation; Pascal's triangle; divisors and prime decomposition; modular arithmetic; number theoretic functions; Euler's Phi function; sums and partitions; and cryptography. Prerequisites include basic algebra and some knowledge of any computer language.

Number Theory With Applications

Number Theory with Applications PDF Book Detail:
Author: James Andrew Anderson
Publisher: Pearson College Division
ISBN:
Size: 68.25 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 566
View: 5194

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Book Description: 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.

Elementary Number Theory

Elementary Number Theory PDF Book Detail:
Author: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 144710613X
Size: 72.15 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 302
View: 1429

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Book Description: 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 And Its Applications

Elementary Number Theory and Its Applications PDF Book Detail:
Author: Kenneth H. Rosen
Publisher: Addison-Wesley
ISBN:
Size: 27.18 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 544
View: 6415

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Book Description: 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.

Elementary Number Theory

Elementary Number Theory PDF Book Detail:
Author: Kenneth H. Rosen
Publisher: Pearson
ISBN: 0134310055
Size: 60.21 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 768
View: 649

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Book Description: 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.

Elementary Number Theory

Elementary Number Theory PDF Book Detail:
Author: Kenneth H. Rosen
Publisher:
ISBN: 9781292039541
Size: 80.40 MB
Format: PDF, Docs
Category : Number theory
Languages : en
Pages : 704
View: 4517

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Book Description: 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.