C1 Advanced Trainer includes six full practice tests, the first two with easy-to-follow, expert guidance. The two guided tests include: 94 Tips, 34 Advice boxes, Training activities, Exam practice, Exam orientation and frequently asked questions. Build confidence in each exam paper by following the step-by-step guidance, tips and strategies in the Training and Exam Practice exercises in the first two tests.

Develop exam technique with the final four tests, applying the lessons, techniques and...

Is children's language acquisition based on innate linguistic structures or built from cognitive and communicative skills? This book summarises the major theoretical debates in all of the core domains of child language acquisition research (phonology, word-learning, inflectional morphology, syntax and binding) and includes a complete introduction to the two major contrasting theoretical approaches: generativist and constructivist. For each debate, the predictions of the competing accounts are...

Grammar in Use is the world's best-selling grammar series for learners of English. Essential Grammar in Use with Answers, authored by Raymond Murphy, is the first choice for elementary-level (A1-B1) learners and covers all the grammar required at this level. It is a self-study book with simple explanations and lots of practice exercises, and has helped millions of people around the world to communicate in English.

Cambridge English Proficiency 2 contains four complete and authentic examination papers for Cambridge English: Proficiency, also known as Cambridge Certificate of Proficiency in English (CPE).

The Pre-intermediate Student's Book provides 80 hours of core teaching material, which can be extended to 120 hours with the inclusion of the photocopiable resources in the Teacher's Book (with Teacher's DVD). Vocabulary and Grammar are given equal importance and there is a clear focus on improving student's listening and speaking skills in social situations. The Student's Book includes optional video for the Real World lessons (available on the Teacher's DVD) with vocabulary selection inform...

Thoroughly revised for its second edition, this advanced textbook provides an introduction to the basic methods of computational physics, and an overview of progress in several areas of scientific computing by relying on free software available from CERN. The book begins by dealing with basic computational tools and routines, covering approximating functions, differential equations, spectral analysis, and matrix operations. Important concepts are illustrated by relevant examples at each stage.

The author also discusses more advanced topics, such as molecular dynamics, modeling continuous systems, Monte Carlo methods, genetic algorithm and programming, and numerical renormalization. It includes many more exercises. This can be used as a textbook for either undergraduate or first-year graduate courses on computational physics or scientific computation...

The second edition of A History of Sub-Saharan Africa continues to provide an accessible introduction to the continent's history for students and general readers. The authors employ a thematic approach to their subject, focusing on how the environment has shaped the societies and cultures of the African peoples. The text demonstrates how the geography, climate and geology of Africa influenced the rise of states and empires, the emergence of the trans-Atlantic slave trade, the European conques...

Four authentic Cambridge English Language Assessment examination papers for the revised Cambridge English: First (FCE) exam from 2015 These examination papers for the 2015 revised Cambridge English: First (FCE) 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 with answers is perfect for independent exam practice. The accompanying Audio CDs...

The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematica...

A lively introduction to morphology, this textbook is intended for undergraduates with relatively little background in linguistics. The third edition has been thoroughly updated, with new examples and exercises and a new final chapter covering several current theoretical frameworks.