Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.
Paul Lockhart presents arithmetic not as rote manipulation of numbers―a practical if mundane branch of knowledge best suited for filling out tax forms―but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher.More info →
Volume One focuses on moments of mathematical discovery experienced by Thales, Pythagoras, Hypatia, Galileo, Pascal, and others. Volume Two dramatizes the lives of Omar Khayyam, Albert Einstein, Ada Lovelace, and others.More info →
Offering “a fresh way of looking at maps” (The New York Times Book Review), Marshall explains the complex geo-political strategies that shape the globe. Why is Putin so obsessed with Crimea? Why was the US destined to become a global superpower? Why does China’s power base continue to expand? Why is Tibet destined to lose its autonomy? Why will Europe never be united? The answers are geographical. “In an ever more complex, chaotic, and interlinked world, Prisoners of Geography is a concise and useful primer on geopolitics” (Newsweek) and a critical guide to one of the major determining factors in world affairs.More info →
Thomas Howard shows us that every room of your house--the living room, the kitchen, the bedroom, and even the bathroom--is a holy place where God's grace awaits you, if only you know how to recognize His presence there. With a rich awareness of God's all-encompassing love, Howard takes you on a spiritual tour through your own home and shows you how everything in it can lead you closer to God.In each room, Howard shows you the surprising ways you can meet God there. With wonderful insights, he reveals how, even in your daily activities you can meet the same God who came to Israel in the terror, smoke and fire in the Tabernacle, and the God who died for us on Cross. But they're by no means confined to a lofty spiritual plane: Howard sees chances to love and serve God, and sees His gentle hand, in the most seemingly dull and ordinary of places and actions.So take up this book to find out how cooking and cleaning, having family dinners together, and all the other commonplace actions that make up the fabric of your daily life can actually disclose God's presence to you. Your daily life as well as your devotional life will be forever transformed by this unusual look at how lovingly God awaits us even in the smallest things.More info →