Four-Dimensional Manifolds and Projective Structure may be considered first as an introduction to differential geometry and, in particular, to 4−dimensional manifolds, and secondly as an introduction to the study of projective structure and projective relatedness in manifolds. The initial chapters mainly cover the elementary aspects of set theory, linear algebra, topology, Euclidean geometry, manifold theory and differential geometry, including the idea of a metric and a connection on a manifold and the concept of curvature. After this, the author dives deeper into 4-dimensional manifolds and, in particular, the positive definite case for the metric. The book also covers Lorentz signature and neutral signature in detail and introduces, and makes use of, the holonomy group of such a manifold for connections associated with metrics of each of these three possible signatures. A brief interlude on some key aspects of geometrical symmetry precedes a detailed description of projective relatedness, that is, the relationship between two symmetric connections (and between their associated metrics) which give rise to the same geodesic paths. Features: Offers a detailed, straightforward discussion of the basic properties of (4-dimensional) manifolds. Introduces holonomy theory, and makes use of it, in a novel manner. Suitable for postgraduates and researchers, including master’s and PhD students.

This volume is a product of the Interstratos project which brought together research teams from across Europe to study the strategic behaviour of small and medium-sized industrial firms, the determinants of their behaviour, and the impact on performance. The book uses information from annual surveys of companies in Europe during the period spanning the formation of a single European market. It addresses issues affecting small businesses such as marketing, entrepreneurship, export strategies and the single market, on an international basis. The book also contains detailed case studies of individual countries including The Netherlands, Finland, Switzerland and the UK.

Routledge Introductions to Applied Linguistics is a series of introductory level textbooks covering the core topics in Applied Linguistics, primarily designed for those entering postgraduate studies and language professionals returning to academic study. The books take an innovative 'practice to theory' approach, with a 'back-to-front' structure. This leads the reader from real-world problems and issues, through a discussion of intervention and how to engage with these concerns, before finally relating these practical issues to theoretical foundations. Additional features include tasks with commentaries, a glossary of key terms, and an annotated further reading section. Exploring English Language Teaching provides a single volume introduction to the field of ELT from an applied linguistics perspective. The book addresses four central themes within English language teaching: 'Classroom interaction and management'; 'Method, Postmethod and methodology'; 'Learners'; and the 'Institutional frameworks and social contexts' of ELT. For each, the book identifies key dilemmas and practices, examines how teachers and other language teaching professionals might intervene and deal with these concerns, and explores how such issues link to and inform applied linguistic theory. This second edition has been extensively revised and updated to explore the latest practical developments and theoretical insights in the field of ELT. With new material, including expanded discussions of CLIL, the role of new technologies in ELT, and the teaching of large classes in difficult circumstances, and with an updated glossary and suggestions for additional reading, this is an indispensable textbook for language teachers and students studying in the areas of Applied Linguistics, Language Teacher Education, and ELT/TESOL.

The Routledge Handbook of English Language Teaching is the definitive reference volume for postgraduate and advanced undergraduate students of Applied Linguistics, ELT/TESOL, and Language Teacher Education, and for ELT professionals engaged in in-service teacher development and/or undertaking academic study. Progressing from 'broader' contextual issues to a 'narrower' focus on classrooms and classroom discourse, the volume's interrelated themes focus on: * ELT in the world: contexts and goals * planning and organising ELT: curriculum, resources and settings * methods and methodology: perspectives and practices * second language learning and learners * teaching language: knowledge, skills and pedagogy * understanding the language classroom. The Handbook's 39 chapters are written by leading figures in ELT from around the world. Mindful of the diverse pedagogical, institutional and social contexts for ELT, they convincingly present the key issues, areas of debate and dispute, and likely future developments in ELT from an applied linguistics perspective. Throughout the volume, readers are encouraged to develop their own thinking and practice in contextually appropriate ways, assisted by discussion questions and suggestions for further reading that accompany every chapter.

Routledge Introductions to Applied Linguistics is a series of introductory level textbooks covering the core topics in Applied Linguistics, primarily designed for those entering postgraduate studies and language professionals returning to academic study. The books take an innovative 'practice to theory' approach, with a 'back-to-front' structure. This leads the reader from real-world problems and issues, through a discussion of intervention and how to engage with these concerns, before finally relating these practical issues to theoretical foundations. Additional features include tasks with commentaries, a glossary of key terms, and an annotated further reading section. Exploring English Language Teaching provides a single volume introduction to the field of ELT from an applied linguistics perspective. The book addresses four central themes within English language teaching: 'Classroom interaction and management'; 'Method, Postmethod and methodology'; 'Learners'; and the 'Institutional frameworks and social contexts' of ELT. For each, the book identifies key dilemmas and practices, examines how teachers and other language teaching professionals might intervene and deal with these concerns, and explores how such issues link to and inform applied linguistic theory. This second edition has been extensively revised and updated to explore the latest practical developments and theoretical insights in the field of ELT. With new material, including expanded discussions of CLIL, the role of new technologies in ELT, and the teaching of large classes in difficult circumstances, and with an updated glossary and suggestions for additional reading, this is an indispensable textbook for language teachers and students studying in the areas of Applied Linguistics, Language Teacher Education, and ELT/TESOL.

The Routledge Handbook of English Language Teaching is the definitive reference volume for postgraduate and advanced undergraduate students of Applied Linguistics, ELT/TESOL, and Language Teacher Education, and for ELT professionals engaged in in-service teacher development and/or undertaking academic study. Progressing from 'broader' contextual issues to a 'narrower' focus on classrooms and classroom discourse, the volume's inter-related themes focus on: ELT in the world: contexts and goals planning and organising ELT: curriculum, resources and settings methods and methodology: perspectives and practices second language learning and learners teaching language: knowledge, skills and pedagogy understanding the language classroom. The Handbook's 39 chapters are written by leading figures in ELT from around the world. Mindful of the diverse pedagogical, institutional and social contexts for ELT, they convincingly present the key issues, areas of debate and dispute, and likely future developments in ELT from an applied linguistics perspective. Throughout the volume, readers are encouraged to develop their own thinking and practice in contextually appropriate ways, assisted by discussion questions and suggestions for further reading that accompany every chapter. Advisory board: Guy Cook, Diane Larsen-Freeman, Amy Tsui, and Steve Walsh

Edward Gardner conducts the English National Opera Orchestra and Chorus in this production of Benjamin Britten's final opera based on the novella by Thomas Mann. John Graham-Hall plays Gustav von Aschenbach, an ageing novelist who becomes obsessed with Polish boy Tadzio (Sam Zaldivar). The performance was recorded at The London Coliseum in June 2013.

This book presents examples of numeracy applications developed in a wide range of courses in a Further Education college in Wales. The numeracy case studies are not limited to simple arithmetic and tasks involving shape and space, but include more advanced topics such as: statistical analysis, mathematical modelling, calculus and design of algorithms. A broad definition of numeracy is adopted by the authors, in line with the range of numeracy skills expected and valued by employers. In addition to a knowledge of mathematical techniques, numeracy is considered to include: problem solving, especially in the design of solutions to non-routine tasks; communication of mathematical results in formats which are suitable for the intended audience and facilitate decision making; an ability to use computer technology to collect and process data; and a familiarity with number which allows appropriate levels of accuracy to be chosen, estimates made and errors detected.

The purpose of this book is to provide a simple introduction to Java programming with the NetBeans Integrated Development Environment. The book has been designed for students who are undertaking the two year WJEC A-level course in Computer Science. The objective is to produce simple example program applications which illustrate a range of theoretical concepts, such as: abstract data structures, object oriented programming, random access and indexed sequential files, and batch processing by sequential update. In this way, it is hoped the students will gain a practical appreciation of the value of these computing techniques. By working through the example programs in this book, students should gain an understanding of basic interface construction, processing and file handling operations in an object oriented Java environment, and a number of important standard algorithms included in the A-level course.

Lindsey Templeton is a young and beautiful diva with the opera world at her feet. She has everything - a glittering career and a wonderful family, to whom she is devoted. But into her life walks opera-mad Russian billionaire Sergei Rebroff, who wants to buy his way into overall control of a European opera company. And when she falls pregnant, she doesn't know who the father is. Is it Sergei? Or is it her husband, Jamie Barlow, casting director of London's third opera company, Opera London? Set in the opera houses and festivals of Europe during the closing months of Tony Blair's premiership, My Wife the Diva is a comic romp through the glamorous but often murky world of international opera. It is also devastatingly honest about the anger and despair wrought on family and friends by the frenetic lifestyle of a jet-setting artist. "A Rabelaisian romp" (Jasper Rees Sunday Times) The author is opera singer John Graham-Hall, whose recent appearances have included Aschenbach in Britten's Death in Venice at ENO and La Scala, Milan.

Web Applications with C#.ASP is designed for students familiar with C#.NET programming for stand-alone applications, and who wish to develop skills in producing interactive web applications. By working through the example programs, students will gain an understanding of basic interface construction, processing and database operations in an object oriented C#.NET environment. The book includes: *Comparison of programming techniques for stand-alone and web applications. *Creating interactive forms. *Setting up a database table, accessing the database, and displaying the data on a web page. *Creating a multi-page web site with a menu system. *Storing images in a database. *Use of the calendar component. *An object oriented approach. The final two projects, Hardware store and Canal boat holidays, bring together techniques developed in earlier chapters. Extensive use is made of database operations to handle customer data with an emphasis on object oriented methodology.

Programming with C#.NET is designed for students who have already been introduced to programming and who are familiar with basic program structures. By working through the example programs in this book, students will gain an understanding of basic interface construction, processing and database operations in an object oriented Visual Studio 2013 C#.NET environment. Programs demonstrate: the use of multiple forms and passing data values between forms, creating interactive forms by adding screen components at run-time, file handling operations for a multiple table database including use of SQL queries, storing images in a database table, and using an object oriented approach to representing entities in a data model.

Richard Jones's production of Benjamin Britten's most popular opera takes to the stage at the Teatro alla Scala in Milan. John Graham-Hall stars as the eponymous, impetuous fisherman in this mysterious tale set in a small fishing village on England's east coast in the 19th century. Robin Ticciati, principal conductor of the Scottish Chamber Orchestra, takes the helm in his La Scala opera debut.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This scarce antiquarian book is a selection from Kessinger PublishingA AcentsAcentsa A-Acentsa Acentss Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of intere