The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems and develops techniques for solving them. A number of engineering case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form. Five general problem classes are considered: linear systems of equations, non-linear systems of equations, unconstrained optimization, equality-constrained optimization and inequality-constrained optimization. The book contains many worked examples and homework exercises and is suitable for students of engineering or operations research taking courses in optimization. Supplementary material including solutions, lecture slides and appendices are available online at www.cambridge.org/9780521855648.
Another fascinating book by the author of Brunelleschi’s Dome and Michelangelo and the Pope’s Ceiling: a saga of artistic rivalry and cultural upheaval in the decade leading to the birth of Impressionism. If there were two men who were absolutely central to artistic life in France in the second half of the nineteenth century, they were Edouard Manet and Ernest Meissonier. While the former has been labelled the “Father of Impressionism” and is today a household name, the latter has sunk into obscurity. It is difficult now to believe that in 1864, when this story begins, it was Meissonier who was considered the greatest French artist alive and who received astronomical sums for his work, while Manet was derided for his messy paintings of ordinary people and had great difficulty getting any of his work accepted at the all-important annual Paris Salon. Manet and Meissonier were the Mozart and Salieri of their day, one a dangerous challenge to the establishment, the other beloved by rulers and the public alike for his painstakingly meticulous oil paintings of historical subjects. Out of the fascinating story of their parallel careers, Ross King creates a lens through which to view the political tensions that dogged Louis-Napoleon during the Second Empire, his ignominious downfall, and the bloody Paris Commune of 1871. At the same time, King paints a wonderfully detailed and vivid portrait of life in an era of radical social change. When Manet painted Dejeuner sur l’herbe or Olympia, he shocked not only with his casual brushstrokes but with his subject matter: top-hatted white-collar workers (and their mistresses) were not considered suitable subjects for ‘Art.’ Ross King shows how, benign as they might seem today, these paintings changed the course of history. The struggle between Meissonier and Manet to see their paintings achieve pride of place at the Salon was not just about artistic competitiveness, it was about how to see the world. Full of fantastic tidbits of information and a colourful cast of characters that includes Baudelaire, Courbet and Zola, with walk-on parts for Monet, Renoir, Degas and Cezanne, The Judgment of Paris casts new light on the birth of Impressionism and takes us to the heart of a time in which the modern French identity was being forged.
From bestselling author Ross King, a brilliant portrait of the legendary artist and the story of his most memorable achievement. Claude Monet is perhaps the world's most beloved artist, and among all his creations, the paintings of the water lilies in his garden at Giverny are most famous. Monet intended the water lilies to provide "an asylum of peaceful meditation." Yet, as Ross King reveals in his magisterial chronicle of both artist and masterpiece, these beautiful canvases (featured in black and white images throughout, as well as a 16-pg color insert) belie the intense frustration Monet experienced in trying to capture the fugitive effects of light, water, and color. They also reflect the terrible personal torments Monet suffered in the last dozen years of his life. Mad Enchantment tells the full story behind the creation of the Water Lilies, as the horrors of World War I came ever closer to Paris and Giverny and a new generation of younger artists, led by Henri Matisse and Pablo Picasso, were challenging the achievements of Impressionism. By early 1914, French newspapers were reporting that Monet, by then seventy-three, had retired his brushes. He had lost his beloved wife, Alice, and his eldest son, Jean. His famously acute vision--what Paul Cezanne called “the most prodigious eye in the history of painting”--was threatened by cataracts. And yet, despite ill health, self-doubt, and advancing age, Monet began painting again on a more ambitious scale than ever before. Linking great artistic achievement to the personal and historical dramas unfolding around it, Ross King presents the most intimate and revealing portrait of an iconic figure in world culture.
Alex Ross, renowned New Yorker music critic and author of the international bestseller and Pulitzer Prize finalist The Rest Is Noise, reveals how Richard Wagner became the proving ground for modern art and politics—an aesthetic war zone where the Western world wrestled with its capacity for beauty and violence. For better or worse, Wagner is the most widely influential figure in the history of music. Around 1900, the phenomenon known as Wagnerism saturated European and American culture. Such colossal creations as The Ring of the Nibelung, Tristan und Isolde, and Parsifal were models of formal daring, mythmaking, erotic freedom, and mystical speculation. A mighty procession of artists, including Virginia Woolf, Thomas Mann, Paul Cézanne, Isadora Duncan, and Luis Buñuel, felt his impact. Anarchists, occultists, feminists, and gay-rights pioneers saw him as a kindred spirit. Then Adolf Hitler incorporated Wagner into the soundtrack of Nazi Germany, and the composer came to be defined by his ferocious antisemitism. For many, his name is now almost synonymous with artistic evil. In Wagnerism, Alex Ross restores the magnificent confusion of what it means to be a Wagnerian. A pandemonium of geniuses, madmen, charlatans, and prophets do battle over Wagner’s many-sided legacy. As readers of his brilliant articles for The New Yorker have come to expect, Ross ranges thrillingly across artistic disciplines, from the architecture of Louis Sullivan to the novels of Philip K. Dick, from the Zionist writings of Theodor Herzl to the civil-rights essays of W.E.B. Du Bois, from O Pioneers! to Apocalypse Now. In many ways, Wagnerism tells a tragic tale. An artist who might have rivaled Shakespeare in universal reach is undone by an ideology of hate. Still, his shadow lingers over twenty-first century culture, his mythic motifs coursing through superhero films and fantasy fiction. Neither apologia nor condemnation, Wagnerism is a work of passionate discovery, urging us toward a more honest idea of how art acts in the world.
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