This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality.
This book offers a new treatment of the topic, one which is designed to make differential geometry an approachable subject for advanced undergraduates. Professor McCleary considers the historical development of non-Euclidean geometry, placing differential geometry in the context of geometry students will be familiar with from high school. The text serves as both an introduction to the classical differential geometry of curves and surfaces and as a history of a particular surface, the non-Euclidean or hyperbolic plane.
Global Warming is one of the most controversial scientific issues of the twenty-first century. This is a problem that has serious economic, sociological, geopolitical, political, and personal implications. This Very Short Introduction is an informative, up-to-date, and readable book about the predicted impacts of global warming and the surprises that could be in store for us in the near future.
Introduction to Architectural Science: The Basis of Sustainable Design
Introducing the basics of architectural science, this book is an ideal reference, providing an understanding of the physical basis of architectural design. The knowledge gained from this book equips the reader with the tools to realize the full potential of the good intentions of sustainable, bioclimatic design.
