An Introduction To Number Theory PDF Download
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| Author | : Mathew Crawford |
| Publisher | : Ingram |
| Total Pages | : 0 |
| Release | : 2008 |
| Genre | : Number theory |
| ISBN | : 9781934124123 |
Download Introduction to Number Theory Book in PDF, ePub and Kindle
"Learn the fundamentals of number theory from former MATHCOUNTS, AHSME, and AIME perfect scorer Mathew Crawford. Topics covered in the book include primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much more. The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes motivated solutions to these problems, through which concepts and curriculum of number theory are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains hundreds of problems ... This book is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of number theory will find this book an instrumental part of their mathematics libraries."--Publisher's website
| Author | : G. Everest |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2007-05-21 |
| Genre | : Mathematics |
| ISBN | : 1852339179 |
Download An Introduction to Number Theory Book in PDF, ePub and Kindle
Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight
| Author | : Joseph Silverman |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2017-02-13 |
| Genre | : Number theory |
| ISBN | : 9780134689463 |
Download Friendly Introduction to Number Theory, a (Classic Version) Book in PDF, ePub and Kindle
For one-semester undergraduate courses in Elementary Number Theory This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. A Friendly Introduction to Number Theory, 4th Edition is designed to introduce students to the overall themes and methodology of mathematics through the detailed study of one particular facet-number theory. Starting with nothing more than basic high school algebra, students are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. The writing is appropriate for the undergraduate audience and includes many numerical examples, which are analyzed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results.
| Author | : Anthony Vazzana |
| Publisher | : CRC Press |
| Total Pages | : 530 |
| Release | : 2007-10-30 |
| Genre | : Computers |
| ISBN | : 1584889381 |
Download Introduction to Number Theory Book in PDF, ePub and Kindle
One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi
| Author | : Victor Shoup |
| Publisher | : Cambridge University Press |
| Total Pages | : 544 |
| Release | : 2005-04-28 |
| Genre | : Computers |
| ISBN | : 9780521851541 |
Download A Computational Introduction to Number Theory and Algebra Book in PDF, ePub and Kindle
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.
| Author | : Oystein Ore |
| Publisher | : Courier Corporation |
| Total Pages | : 400 |
| Release | : 2012-07-06 |
| Genre | : Mathematics |
| ISBN | : 0486136434 |
Download Number Theory and Its History Book in PDF, ePub and Kindle
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 | : |
Download Elementary Introduction to Number Theory Book in PDF, ePub and Kindle
| Author | : L.-K. Hua |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 591 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642681301 |
Download Introduction to Number Theory Book in PDF, ePub and Kindle
To Number Theory Translated from the Chinese by Peter Shiu With 14 Figures Springer-Verlag Berlin Heidelberg New York 1982 HuaLooKeng Institute of Mathematics Academia Sinica Beijing The People's Republic of China PeterShlu Department of Mathematics University of Technology Loughborough Leicestershire LE 11 3 TU United Kingdom ISBN -13 : 978-3-642-68132-5 e-ISBN -13 : 978-3-642-68130-1 DOl: 10.1007/978-3-642-68130-1 Library of Congress Cataloging in Publication Data. Hua, Loo-Keng, 1910 -. Introduc tion to number theory. Translation of: Shu lun tao yin. Bibliography: p. Includes index. 1. Numbers, Theory of. I. Title. QA241.H7513.5 12'.7.82-645. ISBN-13:978-3-642-68132-5 (U.S.). AACR2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, reuse of illustra tions, broadcasting, reproductiOli by photocopying machine or similar means, and storage in data banks. Under {sect} 54 of the German Copyright Law where copies are made for other than private use a fee is payable to "VerwertungsgeselIschaft Wort", Munich. © Springer-Verlag Berlin Heidelberg 1982 Softcover reprint of the hardcover 1st edition 1982 Typesetting: Buchdruckerei Dipl.-Ing. Schwarz' Erben KG, Zwettl. 214113140-5432 I 0 Preface to the English Edition The reasons for writing this book have already been given in the preface to the original edition and it suffices to append a few more points
| Author | : K. Ireland |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 355 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475717792 |
Download A Classical Introduction to Modern Number Theory Book in PDF, ePub and Kindle
This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
| Author | : Benjamin Hutz |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 376 |
| Release | : 2018-04-17 |
| Genre | : Number theory |
| ISBN | : 1470430975 |
Download An Experimental Introduction to Number Theory Book in PDF, ePub and Kindle
This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. The mathematical prerequisites for this book are few. Early chapters contain topics such as integer divisibility, modular arithmetic, and applications to cryptography, while later chapters contain more specialized topics, such as Diophantine approximation, number theory of dynamical systems, and number theory with polynomials. Students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.
