The study of combinatorial isoperimetric problems exploits similarities between discrete optimization problems and the classical continuous setting. Based on his many years of teaching experience, Larry Harper focuses on global methods of problem solving. His text will enable graduate students and researchers to quickly reach the most current state of research in this topic. Harper includes numerous worked examples, exercises and material about applications to computer science.

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Written in clear and accessible language, this title covers the History of the USA from the period of 1840-1941. Features include key questions, timelines, definitions of key terms, profile of key figures, notes to highlight significant points and formative questions to consolidate learning. Each chapter reinforces knowledge and builds skills using detailed study of primary and secondary sources to help students achieve their best. Exam support is offered in a final Examination Skills chapter offering advice on exam technique and how to approach source investigation and structured essay questions.

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