Heralded for its readability and scholarship, The Fire in the Equations offers a fascinating discussion of scientific discoveries and their impact on our beliefs. The book's title is derived from Dr. Stephen Hawking's pondering, "What is it that breathes fire into the equations and makes a universe for them to describe?"
This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.
In a dazzling, lyrical mixture of science and philosophy, acclaimed science writer David Darling makes a provocative case for the workings of human consciousness, its origins, and its destiny when the next Big Bang precipitates a quantum leap in evolution. Equations of Eternity rethinks thought and the existence of intelligence in a way that will give readers a lot to think about.
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.
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.
Tested techniques for designing fire-resistant structures Structural Fire Loads bridges the gap between prescriptive and performance-based methods for the design of fire-resistant buildings. The book streamlines complex computer analyses so that an approximate analytical expression can be easily used in structural fire load analysis and design. Simplified versions of energy, mass, and momentum equations are provided in dimensionless form with their solutions in tabular form. Step-by-step examples using standard structural systems, such as beams, trusses, frames, and arches, are also presented in this practical guide. Using the proven methods in this book, all types of fires can be addressed in the design process. Coverage includes: Overview of current practice Structural fire load and computer models Differential equations and assumptions Simplifications of differential equations Fire load and severity of fires Structural analysis and design
New York City, 1968. The RAND Corporation had presented an alluring proposal to a city on the brink of economic collapse: Using RAND's computer models, which had been successfully implemented in high-level military operations, the city could save millions of dollars by establishing more efficient public services. The RAND boys were the best and brightest, and bore all the sheen of modern American success. New York City, on the other hand, seemed old-fashioned, insular, and corrupt-and the new mayor was eager for outside help, especially something as innovative and infallible as "computer modeling." A deal was struck: RAND would begin its first major civilian effort with the FDNY. Over the next decade-a time New York City firefighters would refer to as "The War Years"-a series of fires swept through the South Bronx, the Lower East Side, Harlem, and Brooklyn, gutting whole neighborhoods, killing more than two thousand people and displacing hundreds of thousands. Conventional wisdom would blame arson, but these fires were the result of something altogether different: the intentional withdrawal of fire protection from the city's poorest neighborhoods-all based on RAND's computer modeling systems. Despite the disastrous consequences, New York City in the 1970s set the template for how a modern city functions-both literally, as RAND sold its computer models to cities across the country, and systematically, as a new wave of technocratic decision-making took hold, which persists to this day. In The Fires, Joe Flood provides an X-ray of these inner workings, using the dramatic story of a pair of mayors, an ambitious fire commissioner, and an even more ambitious think tank to illuminate the patterns and formulas that are now inextricably woven into the very fabric of contemporary urban life. The Fires is a must read for anyone curious about how a modern city works.
Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.
What comes after 1 + 1? Just about anything! In this fanciful collection, Amy Krouse Rosenthal puts together unexpected combinations that always add up to something special. Whether it's "wishes + frosting = birthday" or "birds + buds = spring," each equation is a small delight. This Plus That shows again and again that life's total experience is always greater than the sum of its parts.