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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.

Told for the first time, National Geographic brings you the story of a stray dog who eventually became affectionately known as "Sergeant Stubby" the most famous war dog of World War I. Beloved award-w

The Moon: Resources, Future Development and Settlement describes feasible human settlement of the Moon in the coming century. Small scale, tele-operated and autonomous robotic in-situ resource utiliz

Responding to major shifts in literary studies over the past thirty years, The Longman Anthology of British LIterature was the first collection to pay sustained attention to the contexts within which

A new edition of a classic textbook now published for the first time with colour. Covering the entire subject area [both basic sciences and clinical practice] in an easily accessible manner, the book