Stravinsky's reinvention in the early 1920s, as both neoclassical composer and concert-pianist, is here placed at the centre of a fundamental reconsideration of his whole output - viewed from the unprecedented perspective of his relationship with the piano. Graham Griffiths assesses Stravinsky's musical upbringing in St Petersburg with emphasis on his education at the hands of two extraordinary teachers whom he later either ignored or denounced: Leokadiya Kashperova, for piano and Rimsky-Korsakov, for instrumentation. Their message, Griffiths argues, enabled Stravinsky to formulate from that intensely Russian experience an internationalist brand of neoclassicism founded upon the premises of objectivity and craft. Drawing directly on the composer's manuscripts, Griffiths addresses Stravinsky's lifelong fascination with counterpoint and with pianism's constructive processes. Stravinsky's Piano presents both of these as recurring features of the compositional attitudes that Stravinsky consistently applied to his works, whether Russian, neoclassical or serial, and regardless of idiom and genre.
Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods. This book surveys some of these new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The PDEs that have been selected are largely "named'' since they carry the names of their original contributors. These names usually signify that the PDEs are widely recognized and used in many application areas. The authors’ intention is to provide a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs. The Matlab and Maple software will be available for download from this website shortly. www.pdecomp.net
This book offers friendly guidance on how to work with adult learners to develop their numeracy and mathematics skills. It brings together current research and practice on teaching adult numeracy into one handy volume and covers the major issues faced by teachers of adult numeracy such as current policy perspectives and implications for teaching practice. There are reflective tasks throughout, which encourage you to develop and apply your theoretical knowledge to your own experiences.Key features include: Reviews of existing policy and research and implications for practiceReflective tasks with commentary, encouraging you to develop and apply your knowledgeCase studies of real student experiencesPractical activities and ideas to support the planning, teaching and assessment of adult numeracyDrawing on the substantial experience of the contributors, who have a wealth of experience as practitioners and researchers in the field, this book is an essential resource for trainee and practising teachers of adult numeracy and mathematics. It is also an ideal textbook to support teacher training courses leading to a subject specific qualification in teaching numeracy to adults. Contributors: Jackie Ashton, John Barton, Carolyn Brooks, Martyn Edwards, Janette Gibney, David Holloway, David Kaye, Beth Kelly, Barbara Newmarch, Helen Oughton, David Prinn, Diana Spurr, Rebecca Woolley"This is a quite unique book about teaching adult numeracy, which will be invaluable to the many practitioners in this field. The chapters, contributed by a group of experienced and successful lecturers and practitioners, include all aspects of this field, from methods of teaching specific mathematical topics to more general explorations of dyscalculia and emotional factors in adult learners. Each chapter includes research findings and thoughtful presentation of ideas with practical ideas for teaching, and tasks for the reader. This is a market which has not been served well in the past, so it is good to see the gap filled at last."Margaret Brown, Emeritus Professor of Mathematics Education, King's College London, UK"The editors of this book set out to produce a text that would support teacher-education programmes for adult numeracy, and their book does that and more. The content covers different types of learners, different settings, different understandings of what numeracy actually is; and ranges from commentary on research through case studies to "how to" hints and tips for teaching. Chapters 7 (on provoking mathematical thinking) and 8 (attitudes, beliefs and teaching) should be a required read for any adult numeracy teacher. The book would be at home on any numeracy teacher's desk, and would make an excellent set text for numeracy teacher training courses."Carol Randall, course co-ordinator for numeracy in the department of Lifelong Learning Teacher Education, University of Greenwich, UK"This book is a welcome addition to the growing literature on adult numeracy. It should be essential reading for trainee and practising adult numeracy educators. It brings together relevant research and professional wisdom on a wide variety of aspects of adult numeracy teaching and learning in an accessible way, with well-focussed tasks for readers to extend their knowledge and understanding. While the book is born out of UK concerns and issues, it is also relevant to international readers. Highly recommended."Professor Diana Coben PhD, Director, National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, and Hon. Trustee, Adults Learning Mathematics - A Research Forum (ALM -- www.alm-online.net/)
Stravinsky's reinvention in the early 1920s, as both neoclassical composer and concert-pianist, is here placed at the centre of a fundamental reconsideration of his whole output - viewed from the unprecedented perspective of his relationship with the piano. Graham Griffiths assesses Stravinsky's musical upbringing in St Petersburg with emphasis on his education at the hands of two extraordinary teachers whom he later either ignored or denounced: Leokadiya Kashperova, for piano and Rimsky-Korsakov, for instrumentation. Their message, Griffiths argues, enabled Stravinsky to formulate from that intensely Russian experience an internationalist brand of neoclassicism founded upon the premises of objectivity and craft. Drawing directly on the composer's manuscripts, Griffiths addresses Stravinsky's lifelong fascination with counterpoint and with pianism's constructive processes. Stravinsky's Piano presents both of these as recurring features of the compositional attitudes that Stravinsky consistently applied to his works, whether Russian, neoclassical or serial, and regardless of idiom and genre.
Leokadiya Kashperova's romantic compositions were highly regarded by Rimsky-Korsakov, César Cui, and by Balakirev whose works she premiered and recorded. In 1907, Kashperova performed her own compositions to critical acclaim in Leipzig, Berlin and London. After the 1917 Revolution following her death in 1940, her name joined her fine music in historical anonymity and oblivion. This Element is the result of twenty years' research culminating in eight study-visits by the author to St Petersburg, Moscow and the Yaroslavl/Kostroma region. The Biography (section 1) is the first ever written about this composer. Kashperova's Memoirs (section 2) and her Recollections of Anton Rubinstein (section 3) are made available in translation for the first time. Together with a new edition of her compositions (Boosey & Hawkes, London) this Element aims to support the restoration of Kashperova to her rightful place in music history as Russia's foremost female composer of the early twentieth century.
The increasing concentration of atmospheric CO2 is now a problem of global concern. Although the consequences of atmospheric CO2 are still evolving, there is compelling evidence that the global environmental system is undergoing profound changes as seen in the recent spike of phenomena: extreme heat waves, droughts, wildfires, melting glaciers, and rising sea levels. These global problems directly resulting from elevated atmospheric CO2, will last for the foreseeable future, and will ultimately affect everyone.The CO2 problem is generally not well understood quantitatively by a general audience; for example, in respect of the increasing rate of CO2 emissions, and the movement of carbon to other parts of Earth's environmental system, particularly the oceans with accompanying acidification. This book therefore presents an introductory global CO2 mathematical model that gives some key numbers — for example, atmospheric CO2 concentration in ppm and ocean pH as a function of time for the calendar years 1850 (preindustrial) to 2100 (a modest projection into the future). The model is based on seven ordinary differential equations (ODEs), and is intended as an introduction to some basic concepts and a starting point for more detailed study.Quantitative insights into the CO2 problem are provided by the model and can be executed, with postulated changes to parameters, by a modest computer. As basic calculus is the only required mathematical background, this model is accessible to high school students as well as beginning college and university students. The programming of the model is in Matlab and R, two basic, widely used scientific programming systems that are generally accessible and usable worldwide. This book can therefore also be useful to readers interested in Matlab and/or R programming, or a translation of one to the change.
This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.
This expanded and revised third edition covers all of the major birdwatching sites in the area. Each site is described in depth, with everything you need to know about its habitat, the birds to be seen through the changing seasons, the best times to visit and how to get there.Herefordshire, Shropshire, Staffordshire, Warwickshire, Worcestershire and the former West Midlands County are collectively known as the West Midlands. This is a region of contrasts: from the bleak moors of Peak District to the mellow hills of the Cotswolds; or from the wooded hillsides and streams of the Welsh border country to the lush valleys of the Avon.Within its rich mosaic of habitats can be found a combination of northern species such as Twite and Black Grouse and southern ones such as Nightingale; western ones like the Pied Flycatcher and the eastern Red-legged Partridge. Black Redstarts maintain a tenuous presence in the hub of Birmingham and the Marsh Warbler can still be found in Worcestershire.This third edition has been extensively revised and updated, with several new sites added and some existing site accounts considerably expanded. It is the essential tool for anyone birding in this rewarding region.
Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model.
The aim of this book, which was originally published in 1985, is to cover from first principles the theory of Syzygies, building up from a discussion of the basic commutative algebra to such results as the authors' proof of the Syzygy Theorem. In the last three chapters applications of the theory to commutative algebra and algebraic geometry are given.
BRIEF INTEGRATED MOTIVATIONAL INTERVENTION BRIEF INTEGRATED MOTIVATIONAL INTERVENTION A TREATMENT MANUAL FOR CO-OCCURRING MENTAL HEALTH AND SUBSTANCE USE PROBLEMS Brief Integrated Motivational Intervention provides clinicians and specialist practitioners with a brief, evidence-based treatment approach for motivating clients who have comorbid mental health and alcohol and drug misuse issues. Developed by an expert team with many years of research and practice experience in the fields of psychosis and addiction, this approach combines cognitive behavioural therapy (CBT), motivational interviewing, and the authors’ own cognitive-behavioural integrated treatment (C-BIT). It allows practitioners to engage clients in meaningful dialogue for change during short windows of opportunity following relapses or admittance to psychiatric hospital, and helps clients consider the impact of substance misuse on their mental health. Easy to understand and implement, this guide also includes helpful tools for practitioners, such as session-specific content, illustrative case material, easy-to-use worksheets, and additional information for family members and friends.
Reprint of the original, first published in 1873. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
Reprint of the original, first published in 1873. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
