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| Author | : Underwood Dudley |
| Publisher | : MAA |
| Total Pages | : 156 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 9780883853474 |
An introductory guide to elementary number theory for advanced undergraduates and graduates.
| Author | : Underwood Dudley |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 141 |
| Release | : 2009-12-31 |
| Genre | : Mathematics |
| ISBN | : 0883859181 |
An introductory guide to elementary number theory for advanced undergraduates and graduates.
| Author | : Richard Friedberg |
| Publisher | : Courier Corporation |
| Total Pages | : 241 |
| Release | : 2012-07-06 |
| Genre | : Mathematics |
| ISBN | : 0486152693 |
This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
| Author | : Thomas Koshy |
| Publisher | : Elsevier |
| Total Pages | : 801 |
| Release | : 2007-05-08 |
| Genre | : Mathematics |
| ISBN | : 0080547095 |
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
| Author | : Charles Vanden Eynden |
| Publisher | : Waveland Press |
| Total Pages | : 278 |
| Release | : 2006-02-15 |
| Genre | : |
| ISBN | : 1478639156 |
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.
| Author | : Oystein Ore |
| Publisher | : Courier Corporation |
| Total Pages | : 404 |
| Release | : 2012-07-06 |
| Genre | : Mathematics |
| ISBN | : 0486136434 |
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
| Author | : Calvin T. Long |
| Publisher | : D.C. Heath |
| Total Pages | : 264 |
| Release | : 1972 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Marty Lewinter |
| Publisher | : John Wiley & Sons |
| Total Pages | : 240 |
| Release | : 2015-06-02 |
| Genre | : Mathematics |
| ISBN | : 1119062764 |
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.
| Author | : Underwood Dudley |
| Publisher | : Courier Corporation |
| Total Pages | : 274 |
| Release | : 2012-06-04 |
| Genre | : Mathematics |
| ISBN | : 0486134873 |
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.
| Author | : James S. Kraft |
| Publisher | : CRC Press |
| Total Pages | : 412 |
| Release | : 2014-11-24 |
| Genre | : Mathematics |
| ISBN | : 1498702686 |
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.
