This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors & graduate students The novel approach taken here banishes determinants to the end of the book The text focuses on the central goal of linear algebra understanding the structure of linear operators on finite-dimensional vector spaces The author has taken unusual care to motivate concepts & to simplify proofs A variety of interesting exercises in each chapter helps students understand & manipulate the objects of linear algebra The third edition contains major improvements & revisions throughout the book More than 300 new exercises have been added since the previous edition Many new examples have been added to illustrate the key ideas of linear algebra New topics covered in the book include product spaces"ient spaces & dual spaces Beautiful new formatting creates pages with an unusually pleasant appearance in both print & electronic versions No prerequisites are assumed other than the usual demand for suitable mathematical maturity Thus the text starts by discussing vector spaces linear independence span basis & dimension The book then deals with linear maps eigenvalues & eigenvectors Inner-product spaces are introduced leading to the finite-dimensional spectral theorem & its consequences Generalized eigenvectors are then used to provide insight into the structure of a linear operator ...

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' By miles the most brilliant journalist of our age' Lynn Barber'A golden writer' Andrew Marr A A Gill was rightly hailed as one of the greatest journalists of our time This selection of some of his recent pieces which he made himself before his untimely death spans the last five years from all corners of the world It shows him at his most perceptive brilliant & funny His subjects range from the controversial
- fur
- to the heartfelt
- a fantastic crystallisation of what it means to be European He tackles life drawing designs his own tweed considers boyhood through the prism of the Museum of Childhood & spends a day at Donald Trump's university In his final two articles he wrote with characteristic wit & courage about his cancer diagnosis
- 'the full English
- & the limits of the NHS But more than any other subject a recurring theme emerges in the overwhelming story of our times the refugee crisis In the last few years A A Gill wrote with compassion & anger about the refugees' story giving us both its human face & its appalling context The resulting articles are journalism at its finest & fiercest




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Looking at works from a range of different artists & their various approaches this book examines the process & practice of drawing showcasing artworks from 15th- & 16th-century masters such as Leonardo da Vinci & Michelangelo right up to artists working today In arranging them not by period or style but by the types of thinking that give rise to them readers gain fresh insights into the thought processes of some of the world's greatest artists This thematic rather than chronological structure allows us to place historical drawings side-by-side with modern & contemporary works to show how artists from widely differing times & places have all used drawing to record explore & develop ideas The accompanying exhibition ' Lines of Thought Michelangelo to Bridget Riley Drawings from the British Museum' will tour to venues associated with art schools around the UK & internationally to inspire students to draw The exhibition & this book include highlights of the British Museum's Prints & Drawings collection as well as some lesser-known contemporary works ...

Please note this is a region 2 DVD & will require a region 2 (Europe) or region Free DVD Player in order to play Academy Award Winner Cuba Gooding Jr is a Border Patrol Officer in the New Mexico desert with a secret past that is about to catch up with him When his old gang leader tracks him down & forces him to smuggle drugs across the border he must choose between the life he swore to leave behind & saving his family at any cost Omari Hardwick (The Guardian Gridiron Gang) Sharon Leal (This Christmas Dreamgirls) & Evan Ross (ATL Pride) co-star in this hard-hitting thriller that pushes the action over the line ...

In this book Pamela Powell takes a very practical approach showing how to design & construct lingerie sleepwear & foundation garments Step-bystep illustrations demonstrate the basic blocks & show how to manipulate them into different styles Advice is given about how to work with the speciality fabrics used in the industry including woven knit power stretch & bias-cut fabrics Specially commissioned photographs & diagrams are used to showcase construction techniques specific to lingerie including boning elastic & lace insertion & how & where to use the myriad of closures available A final chapter on embellishment shows how to add unique & personal touches to garments & apply that luxurious finish ...

Welcome to Europe as you've never known it before seen through the peculiarities of its languages & dialects Combining linguistics & cultural history Gaston Dorren takes us on an intriguing tour of the continent from Proto-Indo-European (the common ancestor of most European languages) to the rise & rise of English via the complexities of Welsh plurals & Czech pronunciation Along the way we learn why Esperanto will never catch on how the language of William the Conqueror lives on in the Channel Islands & why Finnish is the easiest European language Surprising witty & full of extraordinary facts this book will change the way you think about the languages around you Polyglot Gaston Dorren might even persuade you that English is like Chinese ...

Linguistics falls in the gap between arts & science on the edges of which the most fascinating discoveries & the most important problems are found Rather than following the conventional organization of many contemporary introductions to the subject the author of this stimulating guide begins his discussion with the oldest 'arts' end of the subject & moves chronologically through to the newest research
- the 'science' aspects A series of short thematic chapters look in turn at such areas as the prehistory of languages & their common origins language & evolution language in time & space (the nature of change inherent in language) grammars & dictionaries (how systematic is language?) & phonetics Explication of the newest discoveries pertaining to language in the brain completes the coverage of all major aspects of linguistics from a refreshing & insightful angle ABOUT THE SERIES The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area These pocket-sized books are the perfect way to get ahead in a new subject quickly Our expert authors combine facts analysis perspective new ideas & enthusiasm to make interesting & challenging topics highly readable
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This is the new edition of Linguistics An Introduction It is a bestselling introductory textbook for all students of linguistics & language studies This reworked edition features -new chapters on sign languages writing & text & discourse-coverage of writing in electronic media-revised & updated chapters on languages of the world & psycholinguistics Firmly based around taught courses & catering to student needs it addresses all the topics that a student will need in their study of language With key terms further reading questions at the end of each chapter exercises & key paragraphs in st&-out boxes this is a firmly pedagogic text that takes difficult concepts & explains them in an easy to understand way It features examples taken from a range of languages across the world Global in its scope & comprehensive in its coverage this is the textbook of choice for linguistics students The book comes with a large Companion Website also extensively revised & expanded For lecturers & instructors a comprehensive Answer Book is also available to go along with the questions throughout the chapters ...

The director of CENTRAL STATION & THE MOTORCYCLE DIARIES Walter Salles together with Daniela Thomas create yet another powerful moving & thought provoking portrayal of the modern Brazilian experience Set in luring & often dangerous Sao Paulo LINHA DE PASSE tells the story of four brothers who seek redemption from a grim & seemingly futureless existence trying not to subside to the ready-to-grab choice of a criminal life Not withstanding this fairytale friendly premise Salles film is not at all condescending or morally uplifting & it prefers a realistic approach over the temptation of a happy ending ...