Sweeping through the centuries from ancient Babylon right up to the latest hi-tech experiments in genetics and particle physics, Fara's book also ranges internationally, challenging notions of European superiority by emphasizing the importance of scientific projects based around the world, including revealing discussions of China and the Islamic Empire alongside the more familiar stories about Copernicus's sun-centered astronomy, Newton's gravity, and Darwin's theory of evolution.We see for instance how Muslim leaders encouraged science by building massive libraries, hospitals, and astronomical observatories and we rediscover the significance of medieval Europe--long overlooked--where, surprisingly, religious institutions ensured science's survival, as the learning preserved in monasteries was subsequently developed in new and unique institutions: universities. Instead of focussing on esoteric experiments and abstract theories, she explains how science belongs to the practical world of war, politics, and business. And rather than glorifying scientists as idealized heroes, she tells true stories about real people--men (and some women) who needed to earn their living, who made mistakes, and who trampled down their rivals.

    In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    Offering an approach with a visual/graphical emphasis, this text offers a number of examples on the premise that students learn best by doing. This book features an emphasis on interpretation of results and critical thinking over calculations.

    Based on her work at the Santa Fe Institute and drawing on its interdisciplinary strategies, Mitchell brings clarity to the workings of complexity across a broad range of biological, technological, and social phenomena, seeking out the general principles or laws that apply to all of them. Richly illustrated, Complexity: A Guided Tour--winner of the 2010 Phi Beta Kappa Book Award in Science--offers a wide-ranging overview of the ideas underlying complex systems science, the current research at the forefront of this field, and the prospects for its contribution to solving some of the most important scientific questions of our time.

    QFT is the only physics theory that makes sense and that dispels or resolves the paradoxes of relativity and quantum mechanics that have confused and mystified so many people.