A squared plus b squared equals c squared. It sounds simple, doesn't it? Yet this familiar expression is a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, acclaimed authors Robert and Ellen Kaplan. With wit, verve, and clarity, they trace the life of the Pythagorean theorem, from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons-not to mention the elusive Pythagoras himself, who almost certainly did not make the statement that bears his name. How can a theorem have more than one proof? Why does this one have more than two hundred-or is it four thousand? The Pythagorean theorem has even more applications than proofs: Ancient Egyptians used it for surveying property lines, and today astronomers call on it to measure the distance between stars. Its generalizations are stunning-the theorem works even with shapes on the sides that aren't squares, and not just in two dimensions, but any number you like, up to infinity. And perhaps its most intriguing feature of all, this tidy expression opened the door to the world of irrational numbers, an untidy discovery that deeply troubled Pythagoras's disciples. Like the authors' bestselling The Nothing That Is and Chances Are . . .-hailed as "erudite and witty," "magnificent," and "exhilarating"-Hidden Harmonies makes the excitement of mathematics palpable.

Contributions by Christina Baade, Candace Bailey, Paula J. Bishop, Maribeth Clark, Brittany Greening, Tammy Kernodle, Kendra Preston Leonard, April L. Prince, Travis D. Stimeling, and Kristen M. Turner For every star, there are hundreds of less-recognized women who contribute to musical communities, influencing their aesthetics and expanding opportunities available to women. Hidden Harmonies: Women and Music in Popular Entertainment focuses not on those whose names are best known nor most celebrated but on the women who had power in collective or subversive ways hidden from standard histories. Contributors to Hidden Harmonies reexamine primary sources using feminist and queer methodologies as well as critical race theory in order to overcome previous, biased readings. The scholarship that results from such reexaminations explores topics from songwriters to the music of the civil rights movement and from whistling schools to musical influencers. These wide-ranging essays create a diverse and novel view of women's contribution to music and its production. With intelligence and care, Hidden Harmonies uncovers the fascinating figures behind decades of popular music.

The Secret Book of Grazia dei Rossi is a sweeping tale of intrigue and romance set in a time rife with court politics, papal chicanery, religious intolerance, and inviolable social rules. Grazia, private secretary to the world-renowned Isabella d'Este, is the daughter of an eminent Jewish banker, the wife of the pope's Jewish physician, and the lover of a Christian prince. In a "secret book," written as a legacy for her son, she records her struggles to choose between the seductions of the Christian world and a return to the family, traditions, and duties of her Jewish roots. As she re-creates Renaissance Italy in captivating detail, Jacqueline Park gives us a timeless portrait of a brave and brilliant woman trapped in an unforgiving, inflexible society.

Unveiling Sustainable Architecture Design and planning takes readers on a transforming journey to the forefront of green building.Each chapter reveals a fresh dimension of sustainable architecture,from Ken Yang visionary bio-climatic structures that transform urban living to the vertical wonders of green walls. Explore India & unique tapestry of sustainable architecture, Agritecture agrarian integration, and the ecological impact of green roofs. Following chapters bring biomimicry, new materials, and energy-efficient landscapes to life, providing architects with a road map for designingin harmony with nature. The voyage concludes in a literature study on the growth of global and Indian green building grading systems as the narrative expands to sustainable cities, green materials, and urban transportation.This is the handbook that encourages architects, urban planners, and enthusiasts to reinvent our urban landscapes for a future in which sustainability and innovation coexist effortlessly.

In the fog of a Paris dawn in 1832, ƒvariste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.

Includes section "Reviews of recent theological literature".

We bring into full light some excerpts on musical subjects which were until now scattered throughout the most famous scientific texts. The main scientific and musical cultures outside of Europe are also taken into consideration. The first and most important property to underline in the scientific texts examined here is the language they are written in. This means that our multicultural history of the sciences necessarily also becomes a review of the various dominant languages used in the different historical contexts. In this volume, the history of the development of the sciences is told as it happened in real contexts, not in an alienated ideal world.