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Focuses on thorough preparation for the Cambridge English: Advanced (CAE) exam. In this title, the end of unit Review sections and the practice exam papers develop exam confidence. It comes with audio and an access code to Macmillan Practice Online (MPO) providing students with more material for exam preparation. It is a 'With Key' version.
Cambridge English Advanced 3 contains four tests for the Advanced exam, also known as Certificate in Advanced English (CAE). These examination papers for the Cambridge English: Advanced (CAE) exam provide the most authentic exam preparation available, allowing candidates to familiarise themselves with the content and format of the exam and to practise useful exam techniques. The Student's Book is also available in a 'without answers' edition. Audio CDs (2) containing the exam Listening material and a Student's Book with answers and downloadable Audio are available separately.
The Teacher's Book is accompanied by a DVD-ROM with tests in both PDF and editable Word format, along with a series of teacher training videos. There is also additional photocopiable material in the Teacher's Book, with a focus on material for the Speaking test.
Provides step-by-step guidance for teaching the material. Along with photocopiable material, useful suggestions, sample answers and advice on how to approach exams, this title features a DVD-ROM filled with tests, training videos and audio. It also includes answer keys and listening scripts.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.