A Friendly Introduction to Number Theory

Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers.

A Friendly Introduction to Number Theory

A Friendly Introduction to Number Theory

Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. Features an informal writing style and includes many numerical examples. Emphasizes the methods used for proving theorems rather than specific results. Includes a new chapter on big-Oh notation and how it is used to describe the growth rate of number theoretic functions and to describe the complexity of algorithms. Provides a new chapter that introduces the theory of continued fractions. Includes a new chapter on “Continued Fractions, Square Roots and Pell's Equation.” Contains additional historical material, including material on Pell's equation and the Chinese Remainder Theorem. A useful reference for mathematics teachers.

More Books:

A Friendly Introduction to Number Theory
Language: en
Pages: 434
Authors: Joseph H. Silverman
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: Prentice Hall

Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. Features an informal writing style and includes many numerical examples. Emphasizes the methods used for proving theorems
A Friendly Introduction to Number Theory (Classic Version)
Language: en
Pages: 432
Authors: Joseph Silverman
Categories: Mathematics
Type: BOOK - Published: 2017-02-13 - Publisher: Math Classics

Originally published in 2013, reissued as part of Pearson's modern classic series.
A Friendly Introduction to Mathematical Logic
Language: en
Pages: 365
Authors: Christopher C. Leary, Lars Kristiansen
Categories: Education
Type: BOOK - Published: 2015 - Publisher: Lulu.com

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The
The KAM Story
Language: en
Pages: 380
Authors: H Scott Dumas
Categories: Mathematics
Type: BOOK - Published: 2014-02-28 - Publisher: World Scientific Publishing Company

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history
An Experimental Introduction to Number Theory
Language: en
Pages: 376
Authors: Benjamin Hutz
Categories: Number theory
Type: BOOK - Published: 2018-04-17 - Publisher: American Mathematical Soc.

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