Elementary Methods In Number Theory PDF Download
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Author | : Melvyn B. Nathanson |
Publisher | : Springer Science & Business Media |
Total Pages | : 518 |
Release | : 2008-01-11 |
Genre | : Mathematics |
ISBN | : 0387227385 |
Download Elementary Methods in Number Theory Book in PDF, ePub and Kindle
This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.
Author | : Calvin T. Long |
Publisher | : D.C. Heath |
Total Pages | : 264 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : |
Download Elementary Introduction to Number Theory Book in PDF, ePub and Kindle
Author | : Paul Pollack |
Publisher | : American Mathematical Soc. |
Total Pages | : 322 |
Release | : 2009-10-14 |
Genre | : Mathematics |
ISBN | : 0821848801 |
Download Not Always Buried Deep Book in PDF, ePub and Kindle
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 | : Edward Wall |
Publisher | : McGraw-Hill Humanities/Social Sciences/Languages |
Total Pages | : 0 |
Release | : 2009-02-13 |
Genre | : Education |
ISBN | : 9780073378473 |
Download Number Theory for Elementary School Teachers Book in PDF, ePub and Kindle
In response to concerns about teacher retention, especially among teachers in their first to fourth year in the classroom, we offer future teachers a series of brief guides full of practical advice that they can refer to in both their student teaching and in their first years on the job. Number Theory for Elementary School Teachers is designed for preservice candidates in early and/or elementary education. The text complements traditional Math Methods courses and provides deep content knowledge for prospective and first year teachers.
Author | : C. Y. Hsiung |
Publisher | : World Scientific |
Total Pages | : 264 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9789810205911 |
Download Elementary Theory of Numbers Book in PDF, ePub and Kindle
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 | : Daniel Duverney |
Publisher | : World Scientific |
Total Pages | : 348 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9814307467 |
Download Number Theory Book in PDF, ePub and Kindle
This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. Clear, concise, and self-contained, the topics are covered in 12 chapters with more than 200 solved exercises. The textbook may be used by undergraduates and graduate students, as well as high school mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, the fascinating branch of mathematics.
Author | : Thomas Koshy |
Publisher | : Elsevier |
Total Pages | : 801 |
Release | : 2007-05-08 |
Genre | : Mathematics |
ISBN | : 0080547095 |
Download Elementary Number Theory with Applications Book in PDF, ePub and Kindle
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 | : James S. Kraft |
Publisher | : CRC Press |
Total Pages | : 412 |
Release | : 2014-11-24 |
Genre | : Mathematics |
ISBN | : 1498702686 |
Download Elementary Number Theory Book in PDF, ePub and Kindle
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.
Author | : Hans Rademacher |
Publisher | : |
Total Pages | : 0 |
Release | : 1984 |
Genre | : Number theory |
ISBN | : |
Download Lectures on Elementary Number Theory Book in PDF, ePub and Kindle
Author | : James J. Tattersall |
Publisher | : Cambridge University Press |
Total Pages | : 420 |
Release | : 1999-10-14 |
Genre | : Mathematics |
ISBN | : 9780521585316 |
Download Elementary Number Theory in Nine Chapters Book in PDF, ePub and Kindle
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.