A mathematical sightseeing tour of the natural world from the author of THE MAGICAL MAZE Why do many flowers have five or eight petals, but very few six or seven? Why do snowflakes have sixfold symmetry? Why do tigers have stripes but leopards have spots? Mathematics is to nature as Sherlock Holmes is to evidence. Mathematics can look at a single snowflake and deduce the atomic geometry of its crystals; it can start with a violin string and uncover the existence of radio waves. And mathematics still has the power to open our eyes to new and unsuspected regularities - the secret structure of a cloud or the hidden rhythms of the weather. There are patterns in the world we are now seeing for the first time - patterns at the frontier of science, yet patterns so simple that anybody can see them once they know where to look.
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
For most, wild edibles are a passing curiosity - we gather enough summer berries for jam or maybe some stinging nettles for soup or tea. Browsing Nature's Aisles tells the story of how one suburban family committed to increasing their food security by incorporating wild foods as a dietary staple - and proves that you can flourish through foraging too.
One Of The Most Fascinating Math Theories In The World Of Nature Is The Fibonacci Sequence. Fibonacci Was A Man Who Calculated An Amazing Pattern That Is Followed By Many Things In Nature. Read About This Mind Boggling Theory And See For Yourself Where It Occurs In The Natural World.
Provides an introduction to the Fibonacci sequence and its presence in the animal world, including the equiangular spiral of a sundial shell, a parrot's beak, a hawk's talon, and a ram's horn.
What's in a Number? is part of the Maths Together series, an early numeracy programme for parents and children to share. The set contains six picture books designed to introduce children, simply and enjoyably to mathematical ideas. Each book also has its own detailed support notes.
A leading scholar of the history and philosophy of economic thought, Philip Mirowski argues that there has been a top-to-bottom transformation in how scientific research is organized and funded in Western countries over the past two decades and that these changes necessitate a reexamination of the ways that science and economics interact. Mirowski insists on the need to bring together the insights of economics, science studies, and the philosophy of science in order to understand how and why particular research programs get stabilized through interdisciplinary appropriation, controlled attributions of error, and funding restrictions. Mirowski contends that neoclassical economists have persistently presumed and advanced an “effortless economy of science,” a misleading model of a self-sufficient and conceptually self-referential social structure that transcends market operations in pursuit of absolute truth. In the stunning essays collected here, he presents a radical critique of the ways that neoclassical economics is used to support, explain, and legitimate the current social practices underlying the funding and selection of “successful” science projects. He questions a host of theories, including the portraits of science put forth by Karl Popper, Michael Polanyi, and Thomas Kuhn. Among the many topics he examines are the social stabilization of quantitative measurement, the repressed history of econometrics, and the social construction of the laws of supply and demand and their putative opposite, the gift economy. In The Effortless Economy of Science? Mirowski moves beyond grand abstractions about science, truth, and democracy in order to begin to talk about the way science is lived and practiced today.
Explores the complexity and wide-ranging applications of the Fibonacci sequence, which appears in nature, art, economics, and the "golden ratio," which is derived from this simple pattern of numbers.
Jabir ibn Hayyan, for a long time the reigning alchemical authority both in Islam and the Latin West, has exercised numerous generations of scholars. To be sure, it is not only the vexed question of the historical authorship and dating of the grand corpus Jabirianum which poses a serious scholarly challenge; equally challenging is the task of unraveling all those obscure and tantalizing discourses which it contains. This book, which marks the first full-scale study of Jabir ever to be published in the English language, takes up both challenges. The author begins by critically reexamining the historical foundations of the prevalent view that the Jabirian corpus is the work not of an 8th-century individual, but that of several generations of Shi'i authors belonging to the following century and later. Tentatively concluding that this view is problematic, the author, therefore, infers that its methodological implications are also problematic. Thus, developing its own methodological matrix, the book takes up the second challenge, namely that of a substantive analysis and explication of a Jabirian discourse, the Book of Stones. Here explicating Jabir's notions of substance and qualities, analyzing his ontological theory of language and unraveling the metaphysics of his Science of Balance, the author reconstructs the doctrinal context of the Stones and expounds its central theme. He then presents an authoritative critical edition of a substantial selection of the text of the Stones, based on all available manuscripts. This critical edition has been translated in its entirety and is provided with exhaustive commentaries and textual notes -- another pioneering feature of this book: for this is the first English translation of a Jabirian text to emerge in print after a whole century. An outstanding contribution is that it announces and presents an exciting textual discovery: the author has found in the Stones a hitherto unknown Arabic translation of part of Aristotle's Categories. Given that we have so far known of only one other, and possibly later, classical Arabic translation of the Greek text, Haq's discovery gives this book an historical importance.
The Picture of Personality reveals the first and only universal picture language of personality. The Guide deciphers the first and only standard set of definitions for human typology. The Guide shows how human nature mirrors Mother Nature. The push and pull of polar opposites creates our personality. Like day and night, we divide into a Light Side and a Dark Side that seek reunion. The conflict between our two sides creates the human journey--the search for the center.
Science, both as a scholarly discipline and as a concept in the popular imagination, was critical to building hegemony in the British Empire. It also inspired alternative ideas of progress by elites and the disenfranchised: these competing spectres continue to haunt postcolonial modernities. Why and how has science so powerfully shaped both the common sense of individuals and the development of postcolonial states? Philip suggests that our ideas of race and resources are key. Civilising Natures tells us how race and nature are fundamental to understanding colonial modernities, and along the way, it complicates our understandings of the relationships between science and religion, pre-modern and civilised, environment and society.
Demonstrating that all notions of nature are inextricably entangled in different forms of social life, the text elaborates the many ways in which the apparently natural world has been produced from within particular social practices. These are analyzed in terms of different senses, different times and the production of distinct spaces, including the local, the national and the global. The authors emphasize the importance of cultural understandings of the physical world, highlighting the ways in which these have been routinely misunderstood by academic and policy discourses. They show that popular conceptions of, and attitudes to, nature are often contradictory and that there are no simple ways of prevailing upon people to `
A groundbreaking exploration of how the interplay of physics and mathematics has enriched our understanding of the universe - essential reading for anyone who wants to grasp how physicists are attempting, in Stephen Hawking's words, to 'know the mind of God'. One of the great mysteries of science is that underlying all the complexities of the universe is a harmonious order, whose existence Einstein described as 'a miracle'. No less miraculous, the fundamental laws of the universe can be written in the language of advanced mathematics. Searching for these laws, physicists have found themselves developing ambitious mathematical ideas without experiment as their guide. In The Universe Speaks in Numbers, Graham Farmelo demonstrates how today's greatest scientific minds are working in a tradition that dates back to Newton. He takes us on an adventure from the Enlightenment, through the breakthroughs of Einstein and Dirac, to the contemporary physicists and mathematicians who are shedding fascinating light on each other's disciplines. As Farmelo shows, this blossoming relationship between mathematics and physics is responsible for huge, redefining advances in our understanding of reality, space and time. Always lively, vivid and authoritative, Farmelo guides the reader through the most thrilling and controversial developments in contemporary thought. LISTEN TO THE ACCOMPANYING PODCAST featuring interviews with leading scientists at www.grahamfarmelo.com 'A superbly written, riveting book. In elegant prose, and using virtually no equations, Farmelo describes the ongoing quest of great thinkers to understand the bedrock nature of reality' Martin Rees, Astronomer Royal, Emeritus Professor of Cosmology and Astrophysics at the University of Cambridge 'I am overcome with admiration for this book's range and profundity ... An amazing achievement' Michael Frayn, award-winning writer of Copenhagen 'Masterful ... a riveting account of one of the greatest stories of our time' Nima Arkani-Hamed, Professor at the Institute of Advanced Study, Princeton
Since the publication in 1896 of Andrew Dickson White's classic History of the Warfare of Science with Theology in Christendom, no comprehensive history of the subject has appeared in the English language. Although many twentieth-century historians have written on the relationship between Christianity and science, and in the process have called into question many of White's conclusions, the image of warfare lingers in the public mind. To provide an up-to-date alternative, based on the best available scholarship and written in nontechnical language, the editors of this volume have assembled an international group of distinguished historians. In eighteen essays prepared especially for this book, these authors cover the period from the early Christian church to the twentieth century, offering fresh appraisals of such encounters as the trial of Galileo, the formulation of the Newtonian worldview, the coming of Darwinism, and the ongoing controversies over "scientific creationism." They explore not only the impact of religion on science, but also the influence of science and religion. This landmark volume promises not only to silence the persistent rumors of war between Christianity and science, but also serve as the point of departure for new explorations of their relationship, Scholars and general readers alike will find it provocative and readable.