Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation. Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical...
Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying E...
The notion of "freedom" has long been associated with a number of perceptions deemed fundamental to an understanding of Scotland and the Scots. Thus Scottish history is viewed, resistance to the Roman Empire, to the Wars of Independence against England, to the eighteenth-century Jacobite uprisings, to the birth of the Labour and Trade Union movements. Key Scottish texts have the concept of liberty at their core: the Declaration of Arbroath, Barbour's Brus, Blind Hary's Wallace, the poems of Robert Burns and Hugh MacDiarmid and the novels of Janice Galloway and Irvine Welsh. Scottish...
The notion of "freedom" has long been associated with a number of perceptions deemed fundamental to an understanding of Scotland and the Scots. Thu...
The Number Line through Guided Inquiry is designed to give future secondary teachers a deep understanding of the real numbers and functions on the reals. By presenting just that part of the subject that underlies the high school curriculum, this book offers an alternative to a standard real analysis sequence for advanced undergraduate or beginning graduate students. It will give any student a much deeper understanding of the mathematics that they were taught in high school. Written in a guided-inquiry format, this book consists of a carefully scaffolded sequence of definitions, problems,...
The Number Line through Guided Inquiry is designed to give future secondary teachers a deep understanding of the real numbers and functions on the rea...
