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Here is an introductory text on metric spaces that is the first to be written for students who are as interested in the applications as in the theory. Knowledge of metric spaces is fundamental to understanding numerical methods (for example for solving differential equations) as well as analysis, yet most books at this level emphasise just the abstraction and theory. Dr Bryant uses applications to provide motivation and to sustain the development and discusses numerical procedures where appropriate. The reader is expected to have had some exposure to elementary analysis, but the author...

'I know there are doors in my life that I never want to open again. But it is difficult to deny they are there, and perhaps only right to open them sometimes. For when making resolutions, we need to look back on past mistakes. To be sure they are not repeated, but also to make better the return encounter.' Victor Bryant takes a cathartic journey through four seasons of emotional turmoil that will strike a chord with anyone searching for meaning in love and loss. The harsh winter snows of January and February precede the funeral of a friend and anxiety about the future. Spring brings the...

Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education, the traditional development of analysis, often divorced from the calculus they learned at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus in school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another...

Building from basics and demonstrating the relationships among the various branches of combinatorics, Victor Bryant presents the results in a straightforward way. Numerous examples and exercises including hints and solutions are included throughout and serve to lead the reader to some of the deeper results of the subject, many of which are usually excluded from introductory texts.

Research in the hormone relaxin has advanced considerably since the first international congress on this subject in Italy in 1982. Human relaxin has been synthesised and the first clinical trials performed. There is now much more information on the role of relaxin in the maintenance of pregnancy and its role at parturition as a paracrine hormone. Further, many new sites for relaxin action have now been described - these include the brain, heart, blood vessels, gastrointestinal tract, prostate and the nonpregnant ovary. Relaxin research in many species has advanced and much more is known now...