In none of them would he find the wife to seal the emotional bond that he so perfectly imagined and ardently desired. He described it, too, in his correspondence, not only in the remarkable, justly famous letters exchanged with his brother Theo, but also in heartfelt missives to his aggrieved mother, his loyal sister Wil, and his devoted sister-in-law Johanna. Focusing especially on van Gogh’s letters to these three steadfast women he called his sisters, award-winning author Derek Fell examines Vincent’s interior life and poignantly documents his emotional decline. Indeed, the blows that Vincent’s psyche suffered—like his rejection by Kee and a dramatic showdown with her father in which the devastated Vincent held his hand in a lantern’s flame—continually undermined his self-worth. In a sensitive reading and astute interpretation of van Gogh’s own written words, Fell illuminates the passions that at once commanded Vincent’s genius and tormented his heart. Many illustrations are included in this revealing life of the artist, as seen through the lens of his loves and losses.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    The con man's mark was Hermann Goering, one of the most reviled leaders of Nazi Germany and a fanatic collector of art.It was an almost perfect crime. For seven years a no-account painter named Han van Meegeren managed to pass off his paintings as those of one of the most beloved and admired artists who ever lived. But, as Edward Dolnick reveals, the reason for the forger's success was not his artistic skill. Van Meegeren was a mediocre artist. His true genius lay in psychological manipulation, and he came within inches of fooling both the Nazis and the world. Instead, he landed in an Amsterdam court on trial for his life.ARTnews called Dolnick's previous book, the Edgar Award-winning The Rescue Artist, "the best book ever written on art crime." In The Forger's Spell, the stage is bigger, the stakes are higher, and the villains are blacker.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions.Art and Imagination: These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject.

    Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel's incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    Harmonograph is an introduction to the evolution of simple harmonic theory, from the discoveries of Pythagoras to diatonic tuning and equal temperament. Beautiful drawings show the octave as triangle, the fifth as pentagram; diagrams show the principles of harmonics, overtones, and the monochord. Anthony Ashton examines the phenomenon of resonance in Chladni patterns, describes how to build a harmonograph of your own, and provides tables of world tuning systems. This inspiring book will appeal to musicians, mathematicians, designers, and artists alike.

    The study of knots has led to important applications in DNA research and the synthesis of new molecules, and has had a significant impact on statistical mechanics and quantum field theory. Colin Adams’s The Knot Book is the first book to make cutting-edge research in knot theory accessible to a non-specialist audience. Starting with the simplest knots, Adams guides readers through increasingly more intricate twists and turns of knot theory, exploring problems and theorems mathematicians can now solve, as well as those that remain open. He also explores how knot theory is providing important insights in biology, chemistry, physics, and other fields. The new paperback edition has been updated to include the latest research results, and includes hundreds of illustrations of knots, as well as worked examples, exercises and problems. With a simple piece of string, an elementary mathematical background, and The Knot Book, anyone can start learning about some of the most advanced ideas in contemporary mathematics.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    Now Annie Cohen-Solal, author of the hugely acclaimed Sartre: A Life (“an intimate portrait of the man that possesses all the detail and resonance of fiction”—Michiko Kakutani, The New York Times), recounts his incalculably influential and astonishing life in Leo and His Circle. After emigrating to New York in 1941, Castelli would not open a gallery for sixteen years, when he had reached the age of fifty. But as the first to exhibit the then-unknown Jasper Johns, Castelli emerged as a tastemaker overnight and fast came to champion a virtual Who’s Who of twentieth-century masters: Rauschenberg, Lichtenstein, Warhol, and Twombly, to name a few. The secret of Leo’s success? Personal devotion to the artists, his “heroes”: by putting young talents on stipend and seeking placement in the ideal collection rather than with the top bidder, he transformed the way business was done, multiplying the capital, both cultural and financial, of those he represented. His enterprise, which by 1980 had expanded to an impressive network of satellite galleries in Europe and three locations in New York, thus became the unrivaled commercial institution in American art, producing a generation of acolytes, among them Mary Boone, Jeffrey Deitch, Larry Gagosian, and Tony Shafrazi. Leo and His Circle brilliantly narrates the course of one man’s power and influence. But Castelli had another secret, too: his life as an Italian Jew. Annie Cohen-Solal traces a family whose fortunes rose and fell for centuries before the Castellis fled European fascism. Never hidden but also never discussed, this experience would form the core of a guarded but magnetic character possessed of unfailing old-world charm and a refusal to look backward—traits that ensured Castelli’s visionary precedence in every major new movement from Pop to Conceptual and by which he fostered the worldwide enthusiasm for American contemporary art that is his greatest legacy. Drawing on her friendship with the subject, as well as an uncanny knack for archival excavation, Annie Cohen-Solal gives us in full the elegant, shrewd, irresistible, and enigmatic figure at the very center of postwar American art, bringing an utterly new understanding of its evolution.

    Gachet, ' was sold for the astonishing price of $82.5 million. This fascinating book reconstructs the painting's journey and becomes a rich story of modernism and the forces behind the art market. 'Portrait of Dr. Gachet' was one of van Gogh's last paintings, completed just weeks before his suicide. Depicting the eccentric physician who was attempting to treat the artist, this painting was viewed by van Gogh as a summation of his ideas about portraiture. Cynthia Saltzman's book reconstructs the journey of this revolutionary and haunting painting, in which, as van Gogh wrote, he strove to capture the 'heartbroken expression of our time.' As Saltzman superbly shows, this painting not only evokes the ethos of modern life but also illuminates the ways in which art, politics, and the market have intersected in the 20th century. Affected by broad social and cultural change, the painting's fate was also influenced by innovations in the way art was sold and displayed, and by the growing role of dealers and museums.

    Two primary objectives guided the authors in the revision of this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Hostetler/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of Calculus: Early Transcendental Functions, 4/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Fourth Edition is part of the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.

    Cox and Forshaw's contention? There is no need for quantum mechanics to be viewed this way. There is a lot of mileage in the 'weirdness' of the quantum world, and it often leads to confusion and, frankly, bad science. The Quantum Universe cuts through the Wu Li and asks what observations of the natural world made it necessary, how it was constructed, and why we are confident that, for all its apparent strangeness, it is a good theory.The quantum mechanics of The Quantum Universe provide a concrete model of nature that is comparable in its essence to Newton’s laws of motion, Maxwell’s theory of electricity and magnetism, and Einstein’s theory of relativity.

    Inventive and skilled, he virtually created the Baroque style. In his religious sculptures he excelled at capturing movement and extreme emotion, uniting figures with their setting to create a single conception of overwhelming intensity that expressed the fervour of Counter-Reformation Rome. Intensity and drama also characterize his portraits and world-famous Roman fountains.