Invitation To Number Theory Second Edition
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Invitation to Number Theory Second Edition
Author | : Oystein Ore |
Publsiher | : American Mathematical Soc. |
Total Pages | : 134 |
Release | : 2017-12-29 |
Genre | : Number theory |
ISBN | : 9780883856536 |
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Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Elementary Number Theory
Author | : Charles Vanden Eynden |
Publsiher | : Waveland Press |
Total Pages | : 278 |
Release | : 2006-02-15 |
Genre | : Electronic Book |
ISBN | : 9781478639152 |
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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.
Invitation to Number Theory
Author | : Øystein Ore |
Publsiher | : Unknown |
Total Pages | : 152 |
Release | : 1967 |
Genre | : Number theory |
ISBN | : UOM:39015015604955 |
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Discusses and gives examples of various number theories and how they function within the science of mathematics.
An Invitation to Modern Number Theory
Author | : Steven J. Miller,Ramin Takloo-Bighash |
Publsiher | : Princeton University Press |
Total Pages | : 135 |
Release | : 2020-08-04 |
Genre | : Mathematics |
ISBN | : 9780691215976 |
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In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.
Invitation to number theory
Author | : Oystein Ore |
Publsiher | : Unknown |
Total Pages | : 129 |
Release | : 1978 |
Genre | : Electronic Book |
ISBN | : OCLC:256238494 |
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Invitation to Number Theory
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 148 |
Release | : 1961 |
Genre | : Electronic Book |
ISBN | : STANFORD:36105049304863 |
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Invitation to Number Theory
Author | : Oystein Ore |
Publsiher | : American Mathematical Society |
Total Pages | : 148 |
Release | : 2018-08-15 |
Genre | : Mathematics |
ISBN | : 9781470447984 |
Download Invitation to Number Theory Book in PDF, Epub and Kindle
Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Introduction to Number Theory
Author | : Anthony Vazzana,Martin Erickson,David Garth |
Publsiher | : CRC Press |
Total Pages | : 530 |
Release | : 2007-10-30 |
Genre | : Computers |
ISBN | : 9781584889380 |
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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