A textbook for students with some background in probability that develops quickly a rigorous theory of Markov chains and shows how actually to apply it, e.g. to simulation, economics, optimal control, genetics, queues and many other topics, and exercises and examples drawn both from theory and practice.

Measure and integration are key topics in many areas of mathematics, including analysis, probability, mathematical physics and finance. This book offers a concise yet elementary introduction in which the theory is quickly and simply developed. Few prerequisites are required, making the text suitable for undergraduate lecture courses or self-study.

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...

Academic Vocabulary in Use Second Edition is the perfect study aid for anyone using English for their academic work. Ideal for students of any discipline, this second edition has been updated to reflect changes in education, technology and communications, includes a selection of new reading passages, and is now in full colour. 50 easy-to-use, two-page units give clear explanations of new vocabulary, along with a variety of practice exercises.

A comprehensive answer key, and phonemic transcrip...

Integrating new theoretical readings, over twenty new case studies on current business scandals, and updated legal cases, Ethical Theory and Business guides students to a rich understanding of business ethics, corporate responsibility, and sustainability. The tenth edition includes both of state-of-the-art normative and social science perspectives.

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...

The third edition of this best-selling textbook is thoroughly updated, with an emphasis on the global and environmental context of European developments in the early modern period. Sections on sources and methodology give students the tools needed to study the period. This acclaimed textbook offers unmatched breadth and depth of coverage.

A pioneering comparative history of British, French, Dutch, Belgian, and Portuguese decolonization from the formal ending of empires to the postcolonial European present. Elizabeth Buettner charts the social, cultural, and political impacts of European decolonization, including postcolonial migration, multicultural societies, and divided memories of empires past.

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...