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Where Do Numbers Come From? - T. W. Koerner - Bog - Cambridge University Press - Plusbog.dk

Where Do Numbers Come From? - T. W. Koerner - Bog - Cambridge University Press - Plusbog.dk

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques needed to address them. Nowadays it is commonplace for apprentice mathematicians to hear ''we shall assume the standard properties of the real numbers'' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and entertainingly written for those students, with historical asides and exercises to foster understanding. Starting with the natural (counting) numbers and then looking at the rational numbers (fractions) and negative numbers, the author builds to a careful construction of the real numbers followed by the complex numbers, leaving the reader fully equipped with all the number systems required by modern mathematical analysis. Additional chapters on polynomials and quarternions provide further context for any reader wanting to delve deeper.

DKK 684.00
1

Where Do Numbers Come From? - T. W. (university Of Cambridge) Koerner - Bog - Cambridge University Press - Plusbog.dk

Where Do Numbers Come From? - T. W. (university Of Cambridge) Koerner - Bog - Cambridge University Press - Plusbog.dk

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques needed to address them. Nowadays it is commonplace for apprentice mathematicians to hear ''we shall assume the standard properties of the real numbers'' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and entertainingly written for those students, with historical asides and exercises to foster understanding. Starting with the natural (counting) numbers and then looking at the rational numbers (fractions) and negative numbers, the author builds to a careful construction of the real numbers followed by the complex numbers, leaving the reader fully equipped with all the number systems required by modern mathematical analysis. Additional chapters on polynomials and quarternions provide further context for any reader wanting to delve deeper.

DKK 401.00
1

Beyond CLIL - Do Coyle - Bog - Cambridge University Press - Plusbog.dk

Beyond CLIL - Do Coyle - Bog - Cambridge University Press - Plusbog.dk

If education is to prepare learners for lifelong learning, there needs to be a shift towards deeper learning: a focus on transferable knowledge and problem-solving skills alongside the development of a positive or growth mindset. In this book, a follow up to CLIL, the authors review new developments in the understanding of the interface between language and learning, and propose an original new ''pluriliteracies'' approach which refines and develops current thinking in CLIL. It aims to facilitate deeper learning through an explicit focus on disciplinary literacies, guiding learners towards textual fluency, encouraging successful communication across cultures, and providing a key stepping-stone towards becoming responsible global citizens. It both provides strong theoretical grounding, and shows how to put that understanding into practise. Engaging and practical, this book will be invaluable to both academics and education practitioners, and will enable conventional classrooms to be transformed into deeper learning ecologies.

DKK 693.00
1

How Well Do Facts Travel? - - Bog - Cambridge University Press - Plusbog.dk

How Well Do Facts Travel? - - Bog - Cambridge University Press - Plusbog.dk

This book discusses how facts travel, and when and why they sometimes travel well enough to acquire a life of their own. Whether or not facts travel in this manner depends not only on their character and ability to play useful roles elsewhere, but also on the labels, packaging, vehicles and company that take them across difficult terrains and over disciplinary boundaries. These diverse stories of travelling facts, ranging from architecture to nanotechnology and from romance fiction to climate science, change the way we see the nature of facts. Facts are far from the bland and rather boring but useful objects that scientists and humanists produce and fit together to make narratives, arguments and evidence. Rather, their extraordinary abilities to travel well shows when, how and why facts can be used to build further knowledge beyond and away from their sites of original production and intended use.

DKK 948.00
1

Why Do Languages Change? - Larry Trask - Bog - Cambridge University Press - Plusbog.dk

Why Do Languages Change? - Larry Trask - Bog - Cambridge University Press - Plusbog.dk

The first recorded English name for the make-up we now call blusher was paint, in 1660. In the 1700s a new word, rouge, displaced paint, and remained in standard usage for around two centuries. Then, in 1965, an advertisement coined a new word for the product: blusher. Each generation speaks a little differently, and every language is constantly changing. It is not only words that change, every aspect of a language changes over time - pronunciation, word-meanings and grammar. Packed with fascinating examples of changes in the English language over time, this entertaining book explores the origin of words and place names, the differences between British and American English, and the apparent eccentricities of the English spelling system. Amusingly written yet deeply instructive, it will be enjoyed by anyone involved in studying the English language and its history, as well as anyone interested in how and why languages change.

DKK 561.00
1