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This primer describes important equations of materials and the scientists who derived them. It provides an excellent introduction to the subject by making the material accessible and enjoyable. The book is dedicated to a number of propositions: 1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives. Each chapter covers a single equation and materials subject, and is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments. Topics included are: Bravais lattices and crystals; Bragg's law and diffraction; the Gibbs phase rule and phases; Boltzmann's equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick's laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke's law and elasticity; the Burgers vector and plasticity; Griffith's equation and fracture; and the Fermi level and electrical properties. The book is written for students interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It requires only a working knowledge of school maths, mainly algebra and simple calculus.
Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.
This is a collection of short stories with story lines encompassing a number of genres. What they share in common is an exploration of the human condition.
A PopSugar and BookBub Most Anticipated Romance of 2022! How do you solve the Perfect Equation? Add one sharp-tongued mathematician to an aloof, handsome nobleman. Divide by conflicting loyalties and multiply by a daring group of women hell-bent on conducting their scientific experiments. The solution is a romance that will break every rule. Six years ago, Miss Letitia Fenley made a mistake, and she’s lived with the consequences ever since. Readying herself to compete for the prestigious Rosewood Prize for Mathematics, she is suddenly asked to take on another responsibility—managing Athena’s Retreat, a secret haven for England’s women scientists. Having spent the last six years on her own, Letty doesn’t want the offers of friendship from other club members and certainly doesn’t need any help from the insufferably attractive Lord Greycliff. Lord William Hughes, the Viscount Greycliff cannot afford to make any mistakes. His lifelong dream of becoming the director of a powerful clandestine agency is within his grasp. Tasked with helping Letty safeguard Athena’s Retreat, Grey is positive that he can control the antics of the various scientists as well as manage the tiny mathematician—despite their historic animosity and simmering tension. As Grey and Letty are forced to work together, their mutual dislike turns to admiration and eventually to something...magnetic. When faced with the possibility that Athena’s Retreat will close forever, they must make a choice. Will Grey turn down a chance to change history, or can Letty get to the root of the problem and prove that love is the ultimate answer?
"Any reader who aspires to be scientifically literate will find this a good starting place." —Publishers Weekly While we may be familiar with some of science’s greatest equations, we may not know that each and every equation emerged not in "Eureka!" moments but in years of cultural developments and scientific knowledge. With vignettes full of humor, drama, and eccentricity, philosopher and science historian Robert P. Crease shares the stories behind ten of history’s greatest equations, from the "first equation," 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenberg’s uncertainty principle, which reveals the limitations of human knowledge. For every equation, Crease provides a brief account of who discovered it, what dissatisfactions lay behind its discovery, and what the equation says about the nature of our world.
In the two novellas that make up The Equations of Love, Ethel Wilson describes ordinary people in perilous circumstances with extraordinary insight and compassion. “Tuesday and Wednesday” reconstructs the events of two days in the life of Mort and Myrtle Johnson, whose uninspired marriage is strangely transformed by the tragic intervention of fate. “Lilly’s Story” is the study of a woman who, protecting her daughter, invents a new identity for herself, only to live as a fugitive from her own happiness. Fist published in 1952, these intuitive and richly ironic stories reveal the unspoken longings and surprising motives that balance the equations of love.
The seismoelectric method consists of measuring electromagnetic signals associated with the propagation of seismic waves or seismic sources in porous media. This method is useful in an increasing number of applications, for example to characterize aquifers, contaminant plumes or the vadose zone. This book provides the first full overview of the fundamental concepts of this method. It begins with a historical perspective, provides a full explanation of the fundamental mechanisms, laboratory investigations, and the formulation of the forward and inverse problems. It provides a recent extension of the theory to two-phase flow conditions, and a new approach called seismoelectric beamforming. It concludes with a chapter presenting a perspective on the method. This book is a key reference for academic researchers in geophysics, environmental geosciences, geohydrology, environmental engineering and geotechnical engineering. It will also be valuable reading for graduate courses dealing with seismic wave propagation and related electromagnetic effects.
The Frontier is a strange place—and a frontier is not always easy to recognize. It may lie on the other side of a simple door marked "No Admittance"—but it is always deadly dangerous.
A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.
* A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systems