Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. With the minimum of prerequisites, the reader is introduced to the notion of rings, fields, prime elements and unique factorization. The author shows how concepts can be applied to a variety of examples such as factorizing polynomials, finding determinants of matrices and Fermat's 'two-squares theorem'. Based on an undergraduate course given at the University of Sheffield, Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions. Second and third year undergraduates will find this a readable and enjoyable account of a subject lying at the heart of much of mathematics.

The official guide to the riverside path from its Gloucestershire source all the way to the outskirts of London. With the London Thames now covered by Aurum' s separate new guide, a companion volume can concentrate on the appeal of the full 150 miles of the country Thames, which winds all the way from its Gloucestershire source near Cirencester to Hampton Court on the edge of the London conurbation. This new edition has a wealth of new information about the many sights and places of interest along the way, from Wittenham Clumps that Paul Nash used to paint to Heston Blumenthal' s Fat Duck restaurant at Bray, as well as full walking tours of historic Oxford and Windsor & Eton. There are sections on Stanley Spencer at Cookham, and Cliveden and the Cliveden Set, as well as on handsome and interesting towns like Henley and Abingdon. There is also a new section on the wildlife and natural history of the Thames, and plenty of extra information on transport links to and from individual sections.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!