Elementary Number Theory

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Elementary Number Theory by Gareth A. Jones, Josephine M. Jones, Springer London
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gareth A. Jones, Josephine M. Jones ISBN: 9781447106135
Publisher: Springer London Publication: December 6, 2012
Imprint: Springer Language: English
Author: Gareth A. Jones, Josephine M. Jones
ISBN: 9781447106135
Publisher: Springer London
Publication: December 6, 2012
Imprint: Springer
Language: English

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

More books from Springer London

Cover of the book Practical Manual of Interventional Cardiology by Gareth A. Jones, Josephine M. Jones
Cover of the book Electrical Diseases of the Heart by Gareth A. Jones, Josephine M. Jones
Cover of the book Maintenance Management in Network Utilities by Gareth A. Jones, Josephine M. Jones
Cover of the book Surgical Guide to Circumcision by Gareth A. Jones, Josephine M. Jones
Cover of the book Asymptotic Chaos Expansions in Finance by Gareth A. Jones, Josephine M. Jones
Cover of the book Energy Systems of Complex Buildings by Gareth A. Jones, Josephine M. Jones
Cover of the book Chemotherapy and Urological Malignancy by Gareth A. Jones, Josephine M. Jones
Cover of the book Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012 by Gareth A. Jones, Josephine M. Jones
Cover of the book Rational Exuberance for Renewable Energy by Gareth A. Jones, Josephine M. Jones
Cover of the book Controversies in Obesity by Gareth A. Jones, Josephine M. Jones
Cover of the book Dementia in Clinical Practice: A Neurological Perspective by Gareth A. Jones, Josephine M. Jones
Cover of the book Atlas of Genitourinary Pathology by Gareth A. Jones, Josephine M. Jones
Cover of the book Energy Efficiency and Renewable Energy Through Nanotechnology by Gareth A. Jones, Josephine M. Jones
Cover of the book Diseases in the Homosexual Male by Gareth A. Jones, Josephine M. Jones
Cover of the book Financial Markets Theory by Gareth A. Jones, Josephine M. Jones
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy