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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.
Tropical mycology is attracting increasing interest, as the key role of fungi in tropical ecosystems and as pathogens becomes appreciated. This book describes the ecology, biology, economic dimensions and systematics of tropical Micromycetes and is the second of two complementary volumes (Volume 1 covers Macromycetes) developed from papers given at the British Mycological Society's symposium held in Liverpool in April 2000.
Too many companies are managed not by leaders, but by mere role players and faceless bureaucrats. What does it take to be a real leader—one who is confident in who she is and what she stands for, and who truly inspires people to achieve extraordinary results? Rob Goffee and Gareth Jones argue that leaders don’t become great by aspiring to a list of universal character traits. Rather, effective leaders are authentic: they deploy individual strengths to engage followers’ hearts, minds, and souls. They are skillful at consistently being themselves, even as they alter their behaviors to respond effectively in changing contexts. In this lively and practical book, Goffee and Jones draw from ...
This volume brings together a set of papers on marine fungi with three themes, organisms, ecology and applied aspects. The contributors are to honour the 65th birthday of Professor E.B. Gareth Jones for his substantial cocntribution to marine mycology.
Marine fungi play a major role in marine and mangrove ecosystems. Understanding how higher fungi with their spectrum of cellulolytic and ligninolytic enzymes degrade wood tissue, while labyrinthuloids and thraustochytrids further contribute to the dissolved organic matter entering the open ocean is essential to marine ecology. This work provides an overview of marine fungi including morphology and ultrastructure, phylogeny, biogeography and biodiversity. Increasingly, biotechnology is also turning to these organisms to develop new bioactive compounds and to address problems such as decomposition of materials in the ocean and bioremediation of oil spills. These potential applications of marine fungi are also treated. In the light of massive marine oil spills in the past years, the importance of understanding marine fungi and their role in the food chain cannot be underestimated.
Molecular research on algae over the last decades has provided significant insights into universal biological mechanisms. This knowledge has proved essential to the field of biotechnology where research on new applications in food culture, biofuel and pharmaceuticals is underway. This new book on algal cell biology provides an overview of cutting-edge research with a focus on cytoskeleton structure/function and cytokinesis of algae.
The ocean as a habitat, the changing marine environment, the world ocean, classification of the marine environment. Patterns of association. Mircrobial heterotrophs and invertebrates. Marine verterbrates, fishes and reptiles. the deep sea floor.
Written by a team of more than 150 contributors working under the direction of Dinah Birch, and ranging in influence from Homer to the Mahabharata, this guide provides the reader with a comprehensive coverage of all aspects of English literature.