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Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Skills in English Reading Level 1 Teacher's Book The Garnet Education Skills in English series was highly commended in the Duke of Edinburgh English Speaking Union English Language Book Award in 2004. Do you have to read texts in English as part of your studies? Then you need Skills in English Reading. This course builds the skills that help you do reading research in English. At Level 2, you learn how to: skim for the main idea; skim for the topic of paragraphs; read for an established purpose; understand non-text markers; distinguish fact from opinion; make inferences - 'read between the lines'; recognise the author's point of view; apply ideas to real-world situations; transfer information, e.g., text to outline; and react to a text. As well as preparing students for entry into English-medium study, the Skills in English Course is ideal for students who wish to improve their scores in skills-based examinations for university entry requirements, such as the International English Language Testing System (IELTS). Rather than focusing on exam preparation, Skills in English teaches the necessary skills as part of a systematic programme of language development. Skills in English courses are also available in Listening, Speaking and Writing. See the Skills in English website at skillsinenglish.com for additional materials and help. Key Features Reading texts a maximum of 500 words Listening texts a maximum of 800 words Speaking tasks up to five paragraphs, with writing assignments between five and ten well-structured paragraphs Test booklets containing theme tests, a revision test after five units, plus an end-of-course test Teacher's Book containing full answer keys, methodology notes and transcript of listening material Accompanying Teacher's Book, Student Test Pack and Teacher Test Booklet also available.
This book faces the topic of patterns formally in an exhaustive presentation of all kinds of skirts and trousers.