<div> "What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book. </div> <div> The world is an interplay of variation and constancy – a medley of differences and similarities – and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes. </div> <div> After a short introductory chapter, each of the following chapters presents a series of evolving activities for students that focus on a specific aspect of interplay between change and invariance. Each activity is accompanied by detailed mathematical explanations and a didactic discussion. The assignments start with tasks familiar from the school curriculum, but progress beyond the menial to lead to sophisticated generalizations. Further activities are suggested to augment the chapter’s theme. Some examples: “How to represent all the integers from zero to 1000 using ten fingers?”, “How to win at the game of Nim?”, “Why do different square lattice polygons with the same area often have the same perimeter?”  </div> <div> This book can be used as a textbook for pre-service mathematics teachers and is primarily intended for their academic instructors. Essentially, students, teachers and anyone interested in elementary mathematics will enjoy the elegant solutions provided for the plethora of problems in elementary mathematics through the systematic approach of invariance and change." </div> <div> <br> </div> <div> <br> </div> <div> <br> </div>
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Photoshop leicht gemacht Dicke Handbücher und Wälzer mit endlosen Theoriekapiteln haben jetzt ausgedient! Dieser Foto-Ratgeber erklärt alle wichtigen Techniken der Bildbearbeitung schnell, einfach und durchweg anfängertauglich. Komplizierte und unübersichtliche Listen aller Menüs, Werkzeuge und Funktionen sucht man hier vergeblich. Stattdessen gibt es viele faszinierende Ideen und beeindruckende Bildergebnisse, die sich mit den grundlegenden Photoshop-Werkzeugen verwirklichen lassen. Alle Motive lassen sich mit dem normalen Photoshop-Programm umsetzen, aber auch mit Photoshop Elements. Faszinierende Workshops – jeweils in nur 5 Schritten umsetzbar Fotograf und Digital Artist Gabor Richter stellt 20 Werkzeuge und Funktionen vor, mit denen selbst Einsteiger ihre Bilder schnell und effektiv bearbeiten können. Anhand von 30 abwechslungsreichen und inspirierenden Beispielen zeigt er, wie sich mit Photoshop und Photoshop Elements ganz leicht beeindruckende Ergebnisse erzielen lassen. Das Beste daran: Mit nur fünf Arbeitsschritten lassen sich alle Beispiele im Buch umsetzen – so macht kreative Bildbearbeitung Spaß! Auswahl der Werkzeuge und Funktionen: • Pinselwerkzeug • Polygon-Lasso-Werkzeug • Schnellauswahl-Werkzeug • Horizontales Text-Werkzeug • Kopierstempel • Ebene • Deckkraft • Schnittmaske • Tonwertkorrektur Auswahl der Workshops: • Charakterporträt in Schwarz-Weiß • Hintergrundwechsel • Farbenfroher CMYK-Effekt • Kleiner Mann auf großem Klavier • Das Bild aus Bildern • Spiegeleffekt • Turbokontrast
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'Five engrossing, resonant stories here, with no weak links' ― The Herald The world's first UNESCO city of literature, Edinburgh is steeped in literary history. It is the birthplace of a beloved cast of fictional characters from Sherlock Holmes to Harry Potter. It is the home of the Writer's Museum, where quotes from writers of the past pave the steps leading up to it. A city whose beauty is matched only by the intrigue of its past, and where Robert Louis Stevenson said, 'there are no stars so lovely as Edinburgh's street-lamps'. And to celebrate the city, its literature, and more importantly, its people, Polygon and the One City Trust have brought together writers – established and emerging – to write about the place they call home. Based around landmarks or significant links to Edinburgh each story transports the reader to a different decade in the city's recent past. Through these stories each author reflects on the changes, both generational and physical, in the city in which we live.
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Snap up a pair of Isla Dewar's feel-good novels in this exclusive bundle from Polygon. First, delve into a feel-good summer reading mystery with It Takes One to Know One, where Charlie Gavin, abducted as a baby, joins the Be Kindly Missing Persons Bureau to help lost souls like himself. Then indulge in the lifelong friendship of Anna and George in A Day Like Any Other, a novel that shows it's never too late to find yourself, packed with humour, insight, depth and honesty. 'A realist, observant and needle-sharp, Isla Dewar can be very funny' – The Times Titles included in this bundle are: It Takes One to Know One A Day Like Any Other
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Originally published in 2000 by Polygon to mark the 250th anniversary of Fergusson's birth, this new edition contains all Fergusson's finest poems in both Scots and English, and features a new introductory essay, revised orthography, a substantial section of notes and a glossary. Acknowledged as a crucial influence on Burns, Robert Fergusson was a remarkable poet in his own right. All his work was produced during a few brief years, delighting readers with its vigour and power. Although he wrote much verse in the then fashionable style of Augustan English, it is his Scots verse which, in its great warmth, humanity, satire, and hilarious comedy, is his enduring legacy. His work covers the whole gamut of human emotions and experience and his subject matter ranges from drunken encounters with the notorious City Guard to quieter reflections on pastoral themes. Fergusson died in 1774 at the age of only 24.
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Tom Pow spent six months as writer in residence at the National Library of Scotland Map Library in Edinburgh. He was so inspired by the collection that they hold and by the stories that they tell that he wrote a collection of poetry based on that experience. Published by Polygon but with input from the National Library and illustrated with details from the collection, this beautiful and quite haunting collection will be welcomed by map lovers as well as poetry lovers.
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This brand new anthology is comprised of creative prose, non-fiction and poetry that ranges from St. Columba to the present day, all linked by the isle of Iona. Featuring specially commissioned work by Meaghan Delahunt, Jennie Erdal, Sara Lodge, Victoria Mackenzie, Candia McWilliam, Ruth Thomas, and Alice Thompson this wonderful collection will have broad historical and contemporary appeal. The Book of Iona is a celebration of one of Scotland's most beautiful islands and follows on from the success of The Book of St. Andrews (Polygon, 2007).
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All over the world traditional tales used to be told at the fireseide until their place came to be taken by books, newspapers, radio and television. This is an entertaining collection from Scotland, recorded and collected by researchers from the School of Scottish Studies at Edinburgh University over the past fifty years. Taken from a variety of sources, from the Hebridean Gaelic tradition to recordings of Lowland cairds (travelling people), some are well-known tales which have equivalents in other cultures and languages, whilst others are unique to Scotland. The tales are arranged by theme: - tall tales - hero tales - legends of ghosts and evil spirits - tales of fate and religion - fairies and sea-folk - children's tales - trickster tales - tales of clan feuds - robber tales This is a welcome reprint of a book that quickly established itself as a classic. It was previously published by Polygon.
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