Share

Elementary Number Theory with Applications

2007-05-08 Mathematics
Download Elementary Number Theory with Applications PDF Online Free

Author :
Release : 2007-05-08
Genre : Mathematics
Kind : eBook
Book Rating : 095/5 ( reviews)

GET EBOOK


Book Synopsis Elementary Number Theory with Applications by : Thomas Koshy

Download or read book Elementary Number Theory with Applications written by Thomas Koshy. This book was released on 2007-05-08. Available in PDF, EPUB and Kindle. Book excerpt: 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

Discrete Mathematics and Its Applications

2007 Computer science
Download Discrete Mathematics and Its Applications PDF Online Free

Author :
Release : 2007
Genre : Computer science
Kind : eBook
Book Rating : 749/5 ( reviews)

GET EBOOK


Book Synopsis Discrete Mathematics and Its Applications by : Kenneth H. Rosen

Download or read book Discrete Mathematics and Its Applications written by Kenneth H. Rosen. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Elementary Number Theory with Programming

2015-06-02 Mathematics
Download Elementary Number Theory with Programming PDF Online Free

Author :
Release : 2015-06-02
Genre : Mathematics
Kind : eBook
Book Rating : 764/5 ( reviews)

GET EBOOK


Book Synopsis Elementary Number Theory with Programming by : Marty Lewinter

Download or read book Elementary Number Theory with Programming written by Marty Lewinter. This book was released on 2015-06-02. Available in PDF, EPUB and Kindle. Book excerpt: 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: Primes, Congruences, and Secrets

2008-10-28 Mathematics
Download Elementary Number Theory: Primes, Congruences, and Secrets PDF Online Free

Author :
Release : 2008-10-28
Genre : Mathematics
Kind : eBook
Book Rating : 254/5 ( reviews)

GET EBOOK


Book Synopsis Elementary Number Theory: Primes, Congruences, and Secrets by : William Stein

Download or read book Elementary Number Theory: Primes, Congruences, and Secrets written by William Stein. This book was released on 2008-10-28. Available in PDF, EPUB and Kindle. Book excerpt: 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 predetermined secret; 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 and Its Applications

2005 Mathematics
Download Elementary Number Theory and Its Applications PDF Online Free

Author :
Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis Elementary Number Theory and Its Applications by : Kenneth H. Rosen

Download or read book Elementary Number Theory and Its Applications written by Kenneth H. Rosen. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Number Theory and Its Applicationsis noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises. The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years.

You may also like...