Friendly Introduction To Number Theory A Classic Version PDF Download
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| 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 | : Joseph H. Silverman |
| Publisher | : Pearson |
| Total Pages | : 472 |
| Release | : 2013-11-01 |
| Genre | : |
| ISBN | : 9781292027098 |
Download A Friendly Introduction to Number Theory Book in PDF, ePub and Kindle
For one-semester undergraduate courses in Elementary Number Theory. A Friendly Introduction to Number Theory, Fourth 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 | : 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 | : 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 | : 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 | : George E. Andrews |
| Publisher | : Courier Corporation |
| Total Pages | : 292 |
| Release | : 2012-04-30 |
| Genre | : Mathematics |
| ISBN | : 0486135101 |
Download Number Theory Book in PDF, ePub and Kindle
Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
| Author | : John Stillwell |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 266 |
| Release | : 2012-11-12 |
| Genre | : Mathematics |
| ISBN | : 0387217355 |
Download Elements of Number Theory Book in PDF, ePub and Kindle
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.
| Author | : Richard Friedberg |
| Publisher | : Courier Corporation |
| Total Pages | : 241 |
| Release | : 2012-07-06 |
| Genre | : Mathematics |
| ISBN | : 0486152693 |
Download An Adventurer's Guide to Number Theory Book in PDF, ePub and Kindle
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 | : Martin H. Weissman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 341 |
| Release | : 2020-09-15 |
| Genre | : Education |
| ISBN | : 1470463717 |
Download An Illustrated Theory of Numbers Book in PDF, ePub and Kindle
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
| Author | : Victor Klee |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 333 |
| Release | : 2020-07-31 |
| Genre | : Education |
| ISBN | : 1470454610 |
Download Old and New Unsolved Problems in Plane Geometry and Number Theory Book in PDF, ePub and Kindle
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
