Download Full eBooks in PDF
A Guide To Elementary Number Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of A Guide To Elementary Number Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : Underwood Dudley
Publisher : MAA
Page : 156 pages
File Size : 49,9 Mb
Release : 2009
Category : Mathematics
ISBN : 0883853477
An introductory guide to elementary number theory for advanced undergraduates and graduates.
Author : Underwood Dudley
Publisher : W H Freeman & Company
Page : 249 pages
File Size : 47,8 Mb
Release : 1978
Category : Mathematics
ISBN : 071670076X
"With almost a thousand imaginative exercises and problems, this book stimulates curiosity about numbers and their properties."
Author : Gareth A. Jones,Josephine M. Jones
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447106135
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.
Author : Underwood Dudley
Publisher : Courier Corporation
Page : 274 pages
File Size : 55,7 Mb
Release : 2012-06-04
Category : Mathematics
ISBN : 9780486134871
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 : Richard Friedberg
Publisher : Courier Corporation
Page : 241 pages
File Size : 44,6 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486152691
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 : James S. Kraft,Lawrence C. Washington
Publisher : CRC Press
Page : 407 pages
File Size : 47,5 Mb
Release : 2014-11-24
Category : Mathematics
ISBN : 9781498702690
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 tex
Author : Charles Vanden Eynden
Publisher : Waveland Press
Page : 278 pages
File Size : 41,7 Mb
Release : 2006-02-15
Category : Electronic
ISBN : 9781478639152
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 : Marty Lewinter,Jeanine Meyer
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 49,6 Mb
Release : 2015-06-02
Category : Mathematics
ISBN : 9781119062769
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 : C. Y. Hsiung
Publisher : World Scientific
Page : 264 pages
File Size : 44,8 Mb
Release : 1992
Category : Mathematics
ISBN : 9810205910
This book explains clearly and in detail the basic concepts and methods of calculations of the elementary theory of numbers. It consists of 7 chapters illustrated by numerous examples and exercises. Answers together with some hints to the exercises are given at the end of the book. It may be used as a textbook for undergraduate students.
Author : Charles Vanden Eynden
Publisher : Random House (NY)
Page : 306 pages
File Size : 48,9 Mb
Release : 1987
Category : Juvenile Nonfiction
ISBN : UOM:39015015605382
Author : Thomas Koshy
Publisher : Elsevier
Page : 801 pages
File Size : 44,9 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9780080547091
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 : Paul Pollack
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 52,7 Mb
Release : 2009-10-14
Category : Mathematics
ISBN : 9780821848807
Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.
Author : David Burton
Publisher : McGraw Hill
Page : 453 pages
File Size : 52,5 Mb
Release : 2010-06-16
Category : Mathematics
ISBN : 9780077145088
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.
Author : Ethan D. Bolker
Publisher : Courier Corporation
Page : 208 pages
File Size : 50,9 Mb
Release : 2012-06-14
Category : Mathematics
ISBN : 9780486153094
This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.
Author : Oystein Ore
Publisher : Courier Corporation
Page : 400 pages
File Size : 41,7 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486136431
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
