# eBook Elements of Number Theory (Undergraduate Texts in Mathematics) download

## by John Stillwell

**ISBN:**0387955879

**Author:**John Stillwell

**Publisher:**Springer; 2003 edition (December 13, 2002)

**Language:**English

**Pages:**256

**ePub:**1994 kb

**Fb2:**1564 kb

**Rating:**4.9

**Other formats:**docx lit rtf txt

**Category:**Math Sciences

**Subcategory:**Mathematics

This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers.

Ships from and sold by Book-Net. This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and ideals. The development of these ideas, and the transition from ancient to modern, is the main theme of the book.

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level.

Another excellent exposition by John Stilwell of l mathematics, with no further .

Another excellent exposition by John Stilwell of l mathematics, with no further requirement. For the rest of us. If "Elements of Number Theory" is recommended before diving into Dedekind's "Theory of Algebraic Integers", this one is great to prepare yourself for Emil Artin.

John Stillwell is Professor of Mathematics at the University of San Francisco.

This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving . Elements of Number Theory Undergraduate Texts in Mathematics.

This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solution by radicals, and this led to the concepts of fields and groups and their fusion in the celebrated theory of Galois. In the present book we seek integer solutions, and this leads to the concepts of rings and ideals which merge in the equally celebrated theory of ideals due to Kummer and Dedekind. Издание: иллюстрированное.

Elements Of Number Theory book. Start by marking Elements Of Number Theory (Undergraduate Texts In Mathematics) as Want to Read

Elements Of Number Theory book. This book is intended to complement my Elements oi Algebra, and. Start by marking Elements Of Number Theory (Undergraduate Texts In Mathematics) as Want to Read: Want to Read savin. ant to Read.

FREE delivery worldwide! Description for Elements of Number Theory (Undergraduate Texts in. .This book features material suitable for a one-semester course.

FREE delivery worldwide! Description for Elements of Number Theory (Undergraduate Texts in Mathematics) Hardcover. Focuses on solutions of equations in integers, which is the central problem of number theory. It contains exercises at the end of every section, so that each idea or proof receives immediate reinforcement. Series: Undergraduate Texts in Mathematics. Num Pages: 256 pages, biography. BIC Classification: PBH. Category: (UU) Undergraduate. Dimension: 241 x 162 x 21. Weight in Grams: 546. Product Details.

The Real Numbers: An Introduction to Set Theory and Analysis. Naive Lie Theory (Undergraduate Texts in Mathematics). Reverse Mathematics: Proofs from the Inside Out. Numbers and Geometry.

For example, the proof.

Most mathematics departments in North America oﬀer a course in elementary num-. However, since the advent of public key cryptography with its important applications of elementary. The text has a number of unusual and attractive features. For example, the proof. given for the law of quadratic reciprocity is not the 1844 lattice point counting argument.

Undergraduate Texts in Mathematics. Lc Classification Number. The author's concept (history mostly as the means of approaching mathematics) remains a matter of interest for both the mathematician and the historia.

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.