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This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Delores Churchill, Haida weaver, shares the stories of her life, her culture, and the importance of passing cultural knowledge from one generation to the next. Told with humility, humour, and deep respect, From a Square to a Circle is a testament to the values of her people, a technical guide to her masterful weaving skills, and a gift to the reader at every point along her journey. This book shines light on Delores’s weaving teachers, including her strong-minded mother Selina (Ilst’aayaa), whose teachings Delores once resisted as a child. The Haida are connected to weaving through their history, which goes back thousands of years ago as shown through discoveries like the 4,000-year-old baskets at south Baranof. Her homeland of Haida Gwaii also gives her people the materials needed for weaving. Walk with Delores as she harvests cedar bark for baskets, Selina teaching “by modelling and then leaving the learner to imitate.” Learn the weaving harvest and preparation terminology. Follow the steps of how to prepare cedar bark, harvest spruce roots, and learn natural dye recipes. Photos and diagrams are visual aids that accompany the steps to Haida weaving techniques and instructions. Having passed her skills on to hundreds of people, believing that “weaving belongs to all of us,” Delores wishes to share the knowledge of basketweaving where beginners and skilled weavers are able to express their distinct selves, just as every coastal Indigenous weaving style is unique. The love for basketweaving displayed in Delores’s writing is sure to make readers yearn to try their own hand at the craft.
Learning shapes can be a blast when you have this educational book around. The combination of colors and vibrant pictures attract a child’s attention. Such combination also increases focus so a child will read and learn for longer periods of time. Help your child learn about shapes through examples of the most commonly seen objects around. Grab a copy of this book today!