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Drawing on multidisciplinary perspectives from engineering, economics, business, science, and human behavior, this text presents an unrivalled introduction to how engineering practice can contribute to sustainable development. Varied approaches for assessing the sustainability of engineering and other human activities are presented in detail, and potential solutions to meet key challenges are proposed, with an emphasis on those that require engineering skills. Each concept and approach is supported by mathematical representation, solved problems, real-world examples, and self-study exercises. Topics covered range from introductory material on the nature of sustainability, to more advanced approaches for assessment and design. Prerequisites for each chapter are clearly explained so the text can be adapted to meet the needs of students from a range of backgrounds. Software tutorials, project statements and solutions, lecture slides, and a solutions manual accompany the book online, making this an invaluable resource for courses in sustainable engineering, as well as a useful reference for industry practitioners.
This compact guide presents the key features of general relativity, to support and supplement the presentation in mainstream, more comprehensive undergraduate textbooks, or as a re-cap of essentials for graduate students pursuing more advanced studies. It helps students plot a careful path to understanding the core ideas and basics of differential geometry, as applied to general relativity, without overwhelming them. While the guide doesn't shy away from necessary technicalities, it emphasises the essential simplicity of the main physical arguments. Presuming a familiarity with special relativity (with a brief account in an appendix), it describes how general covariance and the equivalence principle motivate Einstein's theory of gravitation. It then introduces differential geometry and the covariant derivative as the mathematical technology which allows us to understand Einstein's equations of general relativity. The book is supported by numerous worked exampled and problems, and important applications of general relativity are described in an appendix.