"Designed for introductory undergraduate courses in fluid mechanics for chemical engineers, this stand-alone textbook illustrates the fundamental concepts and analytical strategies in a rigorous and systematic, yet mathematically accessible manner. Using both traditional and novel applications, it examines key topics such as viscous stresses, surface tension, and the microscopic analysis of incompressible flows which enables students to understand what is important physically in a novel situation and how to use...

"Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with...

"The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis....

"In this book, Andrew Harvey sets out to provide a unified and comprehensive theory of structural time series models. Unlike the traditional ARIMA models, structural time series models consist explicitly of unobserved components, such as trends and seasonals, which have a direct interpretation. As a result the model selection methodology associated with structural models is much closer to econometric methodology. The link with econometrics is made even closer by the natural way in which the models can be extended...

"The theory of empirical processes provides valuable tools for the development of asymptotic theory in (nonparametric) statistical models, and makes possible the unified treatment of a number of them. This book reveals the relation between the asymptotic behaviour of M-estimators and the complexity of parameter space. Virtually all results are proved using only elementary ideas developed within the book; there is minimal recourse to abstract theoretical results. To make the results concrete, a detailed treatment is...

"This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and...

"This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original edition, there are three...

"This user-friendly textbook introduces complex analysis at the beginning graduate or advanced undergraduate level. Unlike other textbooks, it follows Weierstrass' approach, stressing the importance of power series expansions instead of starting with the Cauchy integral formula, an approach that illuminates many important concepts. This view allows readers to quickly obtain and understand many fundamental results of complex analysis, such as the maximum principle, Liouville's theorem, and Schwarz's lemma. The book...

"Filtering and smoothing methods are used to produce an accurate estimate of the state of a time-varying system based on multiple observational inputs (data). Interest in these methods has exploded in recent years, with numerous applications emerging in fields such as navigation, aerospace engineering, telecommunications and medicine. This compact, informal introduction for graduate students and advanced undergraduates presents the current state-of-the-art filtering and smoothing methods in a unified Bayesian...

"Studied for many years by scholars with Christianising assumptions, Greek religion has often been said to be quite unlike Christianity: a matter of particular actions (orthopraxy), rather than particular beliefs (orthodoxies). This volume dares to think that, both in and through religious practices and in and through religious thought and literature, the ancient Greeks engaged in a sustained conversation about the nature of the gods and how to represent and worship them. It excavates the attitudes towards the gods...

"This study examines how religious authority was distributed in early Islam. It argues the case that, as in Shi'ism, it was concentrated in the head of state, rather than dispersed among learned laymen as in Sunnism. Originally the caliph was both head of state and ultimate source of religious law; the Sunni pattern represents the outcome of a conflict between the caliph and early scholars who, as spokesmen of the community, assumed religious leadership for themselves. Many Islamicists have assumed the Shi'ite...

"This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Probability & Statistics 1 matches the corresponding unit of the syllabus, with a clear and logical progression through. It contains materials on topics such as data, variation, probability, permutations and combinations, binomial and geometric distributions, and normal distribution. This coursebook contains a variety of...

"An expertly written IB French ab initio course now updated for first examination 2020. This print and digital teacher's resource helps you explore the full potential of the Panorama Francophone 2 series. It contains lesson ideas for mixed ability classes, answers to the coursebook and workbook exercises and explains pedagogical aims of classroom activities. The Cambridge Elevate Teacher's Resource expands the teacher's book with editable worksheets, editable audioscripts and audio files for the coursebook...

"Develop your learners' skills in creative writing and writing for a purpose. Introduce your learners to creative writing and writing for a purpose. They'll write an explanation of how bees make honey and a play script based on their favourite story, helping build their extended writing skills as they progress through the units. Each unit focuses on a different text type such as dialogue, recounts, reports or instructions. Model texts in each chapter show learners good examples of each writing type and...

"This six-level course shows young learners the wonders of biology, chemistry and physics. Vibrant visuals, engaging characters, experiments and interactive activities help children explore science and English together. Topics are introduced gradually and investigated in practical ways, giving pupils time to engage with new concepts and encouraging collaboration. Print and digital material helps you present key themes in a variety of contexts and keep your learners intrigued. Science Skills perfectly complements...

"Iconoclasm, the debate about the legitimacy of religious art that began in Byzantium around 720 and continued for nearly one hundred and twenty years, has long held a firm grip on the historical imagination. This is the first book in English for over fifty years to survey this most elusive and fascinating period in medieval history. It is also the first book in any language to combine the expertise of two authors who are specialists in the written, archaeological and visual evidence from this period, a combination...

"Power Up provides the perfect start to life's great adventure, creating confident learners who embrace life. Meet vibrant characters who students will love. Foster collaboration through real-world missions, deepen learners' social and cognitive skills and explore embedded exam preparation ensuring everyone reaches their full potential."

"Power Up provides the perfect start to life's great adventure, creating confident learners who embrace life. Meet vibrant characters who students will love. Foster collaboration through real-world missions, deepen learners' social and cognitive skills and explore embedded exam preparation ensuring everyone reaches their full potential."

"Power Up provides the perfect start to life's great adventure, creating confident learners who embrace life. Meet vibrant characters who students will love. Foster collaboration through real-world missions, deepen learners' social and cognitive skills and explore embedded exam preparation ensuring everyone reaches their full potential."

"Now in its fourth edition, Psychology and Law is a comprehensive guide to the complex interactions between psychology and criminal law. Andreas Kapardis explores contemporary psycho-legal issues both in and out of the courtroom, from eyewitness testimony, investigative interviewing, jury decision making, and sentencing as a human process, to restorative justice, terrorism, police prejudice and offender profiling. The book draws upon sources from Europe, North America and Australia to investigate the subjectivity...

"Cambridge Global English is a nine-stage language-rich course for learners of English as a Second Language, following the Cambridge International Examinations curriculum framework. Learner's Book 3 provides the core input for Stage 3 with nine thematic units of study ending with an engaging project and opportunity for self-assessment. Richly illustrated units contain six lessons, each developed around a unifying theme. The materials feature skills-building tasks for listening, reading, writing and speaking....

"Prepare for the exam with practice tests written by current examiners. This write-in book contains four new extended practice tests that help students prepare confidently in the weeks before the Cambridge IGCSE English as a Second Language exam. By completing the tests, learners develop familiarity with the format of the assessment and enhance their reading, writing, speaking and listening technique. With answers at the back of the book, this resource is perfect for learners' self-study or for teachers to save...

"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 and teacher, Cambridge IGCSE Physics Coursebook with CD-ROM gives comprehensive and accessible coverage of the syllabus content. Suggestions for practical activities are included, designed to help develop the required experimental skills, with full guidance included on the CD-ROM. Study tips throughout the text,...

"A paradox can be defined as an unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Many paradoxes raise serious philosophical problems, and they are associated with crises of thought and revolutionary advances. The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes about belief, and...

"Understand and be understood in English with the best-selling English Pronunciation in Use. This book, with over five hours of free downloadable audio, includes 50 units of explanations, examples, practice exercises and answers for elementary level (A2) learners of English. You will become confident with all areas of English pronunciation, including individual sounds, word stress, connected speech and intonation, and can practise with simple 'listen and repeat' activities, modelled with a single British English...

"Since the Frontex Border Agency's establishment in 2004, its activities have foregrounded the complexity and difficulty of protecting the human rights of those seeking access to the European Union. In this connection, protection from refoulement should be paramount in the Agency's work. By navigating through the intricacies of Frontex's structure and working methods, this book answers abiding questions: which circumstances would trigger European Union responsibility if violations were to occur in Frontex's joint...

"This analysis of Hans Kelsen's international law theory takes into account the context of the German international legal discourse in the first half of the twentieth century, including the reactions of Carl Schmitt and other Weimar opponents of Kelsen. The relationship between his Pure Theory of Law and his international law writings is examined, enabling the reader to understand how Kelsen tried to square his own liberal cosmopolitan project with his methodological convictions as laid out in his Pure Theory of...

"In spite of a continued increase in the substantive scope and reach of EU fundamental rights, little attention has been paid to their practical enforcement. In this book, Mark Dawson looks at the mechanisms through which EU fundamental rights are protected and enforced, closely examining the interrelation between the EU's pertinent legal and political bodies. He argues that in order to understand EU fundamental rights we must also understand the institutional, political and normative constraints that shape the...