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Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
Explains the significance and beauty of fractals using over 170 illustrations.
Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.
An approach to literacy that understands it as lived and experienced in the everyday across varied spaces and populations. This book approaches literacy as lived and experienced in the everyday. A living literacies approach draws not only on such official, schooled activities as reading, writing, speaking, and listening but also on such routine, tacit activities as scrolling through Instagram, watching news footage, and listening to music. It goes beyond well-worn framings of literacy as an object of study to reimagine literacy as constantly in motion, vital, and dynamic, filled with affective intensities. A lived literacies approach implies a turn to activism, to hopeful practice, and to creativity. The authors examine literacies through a series of active verbs: seeing, disrupting, hoping, knowing, creating, and making. Case studies--ranging from an exploration of photography as a way to shift perspectives to a project in which adults teach young people how to fish--show lived literacies in both theory and practice. With these chapters, Pahl and Rowsell, along with contributors Collier, Pool, Rasool, and Trzecak, make it possible to see literacy in everyday activities, woven into the modes of seeing and knowing. By disruption and activism, literacy can encompass a wide array of practices--exchanging information at a school gate or making a collage. Grounding theory in the sites and spaces of their research, working with artists, photographers, poets, and makers, the authors issue a call to action for literacy education.
Geometry -- Grief -- Beauty -- Story -- Fractal -- Beyond -- Appendix: More Math.
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.
"Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.
Designed for biology, physics, and medical students, Introductory Biophysics: Perspectives on the Living State, provides a comprehensive overview of the complex subject of biological physics. The companion CD-ROM (eBook version does not include the CD-ROM), with MATLAB examples and the student version of QuickFieldTM, allows the student to perform biophysical simulations and modify the textbook example files. Included in the text are computer simulations of thermodynamics, astrobiology, the response of living cells to external fields, chaos in population dynamics, numerical models of evolution, electrical circuit models of cell suspension, gap junctions, and neuronal action potentials. With this text students will be able to perform biophysical simulations within hours. MATLAB examples include; the Hodgkin Huxley equations; the FitzHugh-Nagumo model of action potentials; fractal structures in biology; chaos in population dynamics; the cellular automaton model (the game of life); pattern formation in reaction-diffusion systems. QuickFieldTM tutorials and examples include; calculation of currents in biological tissue; cells under electrical stimulation; induced membrane potentials; heat transfer and analysis of stress in biomaterials.