A solid introduction to mathematical modeling for a range of chemical engineering applications, covering model formulation, simplification and validation. It explains how to describe a physical/chemical reality in mathematical language and how to select the type and degree of sophistication for a model. Model reduction and approximation methods are presented, including dimensional analysis, time constant analysis and asymptotic methods. An overview of solution methods for typical classes of models is given. As final steps in model building, parameter estimation and model validation and assessment are discussed. The reader is given hands-on experience of formulating new models, reducing the models and validating the models. The authors assume the knowledge of basic chemical engineering, in particular transport phenomena, as well as basic mathematics, statistics and programming. The accompanying problems, tutorials, and projects include model formulation at different levels, analysis, parameter estimation and numerical solution.

In Focus is a corpus-informed, three-level (pre-intermediate through high intermediate) EFL course aimed at university and college students. It is designed to build vocabulary, reading, discussion, presentation, and critical thinking skills. It is supplemented by a comprehensive range of dedicated digital components, which offer great flexibility and help to speed language acquisition. The Level 1 Teacher's Manual contains full step-by-step teaching notes, unit-by-unit summaries, language notes, tips, expansion activities, options for assessment, and a complete answer key.

Comprehensive student-friendly resources designed for teaching Cambridge International AS and A Level English Language (syllabus 9093 for first examination in 2015). The core aim of this Coursebook is to help students to develop and apply the key skills they need to achieve in AS and A Level English Language. They will build the skills needed for assessment through frequent activities. Divided into two distinct parts for AS and A Level studies, the book covers a wide range of reading skills, such as understanding aspects of style, voice and tone. It also addresses the conventions of key kinds of writing and spoken language, from scripted speeches to travel articles, and looks at how they can capture these conventions in their own work.

Second edition of this popular course for young learners — now seven levels including Starter. Perfect preparation for Cambridge English Young Learners: Movers Well-loved by children and teachers the world over, Kid's Box is bursting with bright ideas to inspire you and your pupils. Perfect for general use, the course also fully covers the syllabus of the Cambridge Young Learners English (YLE) tests, preparing your students for success at Starters, Movers and Flyers. This Language Portfolio fully complies to CEF guidelines, and allows students to monitor their own progress.

Second edition of this popular course for young learners — now seven levels including Starter. Perfect preparation for Cambridge English Young Learners: Flyers Well-loved by children and teachers the world over, Kid's Box is bursting with bright ideas to inspire you and your pupils. Perfect for general use, the course also fully covers the syllabus of the Cambridge Young Learners English (YLE) tests, preparing your students for success at Starters, Movers and Flyers. This Language Portfolio fully complies to CEF guidelines, and allows students to monitor their own progress.

Well-loved by children and teachers the world over, Kid's Box is bursting with bright ideas to inspire you and your pupils. Perfect for general use, the course also fully covers the syllabus of the Cambridge Young Learners English (YLE) tests, preparing your students better than ever for success at Starters, Movers and Flyers. The new edition offers enhanced digital support including a new Presentation Plus with interactive whiteboard tools, interactive Pupil's and Activity Books, extra teacher's resources and online teacher training. The online platform includes games and extra activities for every unit, and all the students' online work can be tracked and reviewed by the teacher.

Second edition of this popular course for young learners — now seven levels including Starter. Perfect preparation for Cambridge English Young Learners: Flyers with Level 6. Well-loved by children and teachers the world over, Kid's Box Second edition is bursting with bright ideas to inspire you and your pupils. Perfect for general use, the course also fully covers the syllabus of the Cambridge Young Learners English (YLE) tests, preparing your students for success at Starters, Movers and Flyers.This Language Portfolio 6 fully complies to CEFR guidelines, and allows students to monitor their own progress.

The book addresses issues in the field of teaching academic writing to non-native speakers. The paperback edition provides a series of discussions about multiple aspects of second language writing, presenting chapters that collectively address a range of issues that are important to new teachers at the post-secondary level. The 13 chapters provide scholarly visions, insight, and interpretation, oriented toward explaining the field of teaching academic writing to non-native speakers. The book is designed to provide foundational content-knowledge in this area, with each chapter authored by recognized experts in the field. Throughout the chapters, presentation and review of scholarship is presented primarily in the interest of understanding how such knowledge directly or potentially imparts teaching, making this a pedagogically relevant book. In addition to helping train new teachers, the book will serve as an updated reference book for practicing teachers and scholars to consult.

The Cambridge Checkpoint English suite provides a comprehensive, structured resource which covers the Secondary 1 framework for English and seamlessly progresses into the next key stage (covered by our Cambridge IGCSE(r) First Language English series). A lively, colourful Coursebook for Stage 9, which includes activities to develop Reading and Writing skills, with integrated Speaking and Listening tasks. It contains 12 themed units with a full range of stimulus materials, including a balance of fiction and non-fiction from around the world.

The Cambridge Checkpoint English suite provides a comprehensive, structured resource which covers the Secondary 1 framework for English and seamlessly progresses into the next key stage (covered by our Cambridge IGCSE(r) First Language English series). This skill-building, write-in Workbook for Stage 9 is designed to support students' learning and provide extra language tasks and reading and writing skills development, including sequencing and cloze exercises.

This revised set of resources for Cambridge IGCSE Business Studies syllabus 0450 (and Cambridge O Level Business Studies syllabus 7115) is thoroughly updated for the revised syllabus for first teaching from 2013. Written by experienced teachers, the Coursebook provides comprehensive coverage of the syllabus. Accessible language combined with the clear, visually-stimulating layout makes this an ideal resource for the course. Questions and explanation of key terms reinforce knowledge; different kinds of activities build application, analytical and evaluation skills; case studies contextualise the content making it relevant to the international learner. It provides thorough examination support for both papers with questions at the end of each chapter and an extensive case study at the end of each unit. The CD-ROM contains revision aids, further questions and activities. A Teachers CD-ROM is also available.

This edition of our successful series to support the Cambridge IGCSE Physics syllabus (0625) is fully updated for the revised syllabus for first examination from 2016. Written by highly experienced author, Cambridge IGCSE Physics Coursebook with CD-ROM gives comprehensive and accessible coverage of the syllabus. Suggestions for practical activities are included, designed to help develop the required experimental skills. Exam-style questions at the end of each chapter and a host of revision and practice material on the CD-ROM are designed to help students maximise their chances in their examinations. Answers to the exam-style questions in the Coursebook are provided on the CD-ROM.

Endorsed by Cambridge International Examinations, Cambridge IGCSE Economics covers the Cambridge syllabus (0455). The book draws extensively on real world examples to explore economic concepts, theories and issues. Each of the 52 units deals with a specific topic in a lucid and pertinent manner. A number of activities, based on examples from around the world, are designed to facilitate students' easy understanding of the contents. There is a range of questions both at the end of units and at the end of each of the eight sections to assess students' progress in the subject.

Prison studies has experienced a period of great creativity in recent years, and this collection draws together some of the field's most exciting and innovative contemporary critical writers in order to engage directly with one of the most profound questions in penology — why prison? In addressing this question, the authors connect contemporary penological thought with an enquiry that has received the attention of some of the greatest thinkers on punishment in the past. Through critical exploration of the theories, policies and practices of imprisonment, the authors analyse why prison persists and why prisoner populations are rapidly rising in many countries. Collectively, the chapters provide not only a sophisticated diagnosis and critique of global hyper-incarceration but also suggest principles and strategies that could be adopted to radically reduce our reliance upon imprisonment.

This truly philosophical book takes us back to fundamentals — the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices — responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

The important changes quantum mechanics has undergone in recent years are reflected in this new approach for students. A strong narrative, and over 300 worked problems lead the student from experiment, through general principles of the theory, to modern applications. Stepping through results allows students to gain a thorough understanding. Starting with basic quantum mechanics, the book moves on to more advanced theory, followed by applications, perturbation methods and special fields, and ending with new developments in the field. Historical, mathematical, and philosophical boxes guide the student through the theory. Unique to this textbook are chapters on measurement and quantum optics, both at the forefront of current research. Advanced undergraduate and graduate students will benefit from this new perspective on the fundamental physical paradigm and its applications.

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume III covers complex analysis and the theory of measure and integration.

In recent years, the study of formal semantics and formal pragmatics has grown tremendously, showing that core aspects of language meaning can be explained by few principles. These principles are grounded in the logic that is behind — and tightly intertwined — with the grammar of human language. In this book, some of the most prominent figures in linguistics, including Noam Chomsky and Barbara H. Partee, offer new insights into the nature of linguistic meaning and pave the way for the further development of formal semantics and formal pragmatics. Each chapter investigates various dimensions in which the logical nature of human language manifests itself within a language and/or across languages. Phenomena like bare plurals, free choice items, scalar implicatures, intervention effects and logical operators are investigated in depth and at times cross-linguistically and/or experimentally. This volume will be of interest to scholars working within the fields of semantics, pragmatics, language acquisition and psycholinguistics.

How did the zebra really get its stripes, and the giraffe its long neck? What is the science behind camel humps, leopard spots, and other animal oddities? Such questions have fascinated us for centuries, but the expanding field of evo-devo (evolutionary developmental biology) is now providing, for the first time, a wealth of insights and answers. Taking inspiration from Kipling's Just So Stories, this book weaves emerging insights from evo-devo into a narrative that provides startling explanations for the origin and evolution of traits across the animal kingdom. Held's unique and engaging style makes this narrative both enlightening and entertaining, guiding students and researchers through even complex concepts and encouraging a fuller understanding of the latest developments in the field. The first five chapters cover the first bilaterally symmetric animals, flies, butterflies, snakes, and cheetahs. A final chapter surveys recent results about a menagerie of other animals.

What role does playful behaviour and playful thought take in animal and human development? How does play relate to creativity and, in turn, to innovation? Unravelling the different meanings of play, this book focuses on non-aggressive playful play. The authors emphasise its significance for development and evolution, before examining the importance of playfulness in creativity. This discussion sheds new light on the links between creativity and innovation, distinguishing between the generation of novel behaviour and ideas on the one hand, and the implementation of these novelties on the other. The authors then turn to the role of play in the development of the child and to parallels between play, humour and dreaming, along with the altered states of consciousness generated by some psychoactive drugs. A final chapter looks forward to future research and to what remains to be discovered in this fascinating and important field.