Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms. This new edition maintains the simple structure of the first and puts new emphasis on pedagogical considerations. Thermostatistics is incorporated into the text without eclipsing macroscopic thermodynamics, and is integrated into the conceptual framework of physical theory.

    With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    It’s actually an innovative way to understand chaos theory, and the remarkable complexity of modern professional football.   In Newton’s Football, journalist and New York Times bestselling author Allen St. John and TED Speaker and former Yale professor Ainissa Ramirez explore the unexpected science behind America’s Game. Whether it’s Jerry Rice finding the common ground between quantum physics and the West Coast offense or an Ivy League biologist explaining—at a granular level—exactly how a Big Mac morphs into an outside linebacker, Newton’s Football illuminates football—and science—through funny, insightful stories told by some of the world’s sharpest minds.   With a clear-eyed empirical approach—and an exuberant affection for the game—St. John and Ramirez address topics that have long beguiled scientists and football fans alike, including:   • the unlikely evolution of the football (or, as they put it, “The Divinely Random Bounce of the Prolate Spheroid”) • what Vince Lombardi has in common with Isaac Newton • how the hardwired behavior of monkeys can explain a head coach’s reluctance to go for it on fourth-down • why a gruesome elevator accident jump-started the evolution of placekicking • how Teddy Roosevelt saved football using the same behavioral science concept that Dreamworks would use to save Shrek • why woodpeckers don’t get concussions • how better helmets actually made the game more dangerous   Every Sunday the NFL shares a secret with only its savviest fans: The game isn’t just a clash of bodies, it’s a clash of ideas. The greatest minds in football have always possessed an instinctual grasp of science, understanding the big ideas and gritty realities that inform the game’s rich past, as well as its increasingly uncertain future.   Blending smart reporting, counterintuitive creativity, and compelling narrative, Newton’s Football takes gridiron analysis to the next level, giving fans a book that entertains, enlightens, and explains the game anew.Praise for Newton’s Football “It was with great interest that I read Newton’s Football. I’m a fan of applying of science to sport and Newton’s Football truly delivers. The stories are as engaging as they are informative. This is a great read for all football fans.”—Mark Cuban“A delightfully improbable book putting science nerds and sports fans on the same page.”—Booklist   “This breezily-written but informative book should pique the interest of any serious football fan in the twenty-first century.”—The American Spectator   “The authors have done a worthy job of combining popular science and sports into a work that features enough expertise on each topic to satisfy nerds and jocks alike. . . . The writers succeed in their task thanks to in-depth scientific knowledge, a wonderful grasp of football’s past and present, interviews with a wide array of experts, and witty prose. . . . [Newton’s Football is] fun and thought-provoking, proving that football is a mind game as much as it is a ball game.”—Publishers Weekly

    The layout of the book covers the following: Laplace transforms, mathematical model

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    Bike your way through car-jammed cities, under overpasses, and over the hills and far away to a cyclist’s paradise.- Learn to repair a flat, modify your handlebars, true your wheel, and fix your bike on the fly.- Not just for gearheads: Learn about what to wear, what to eat, how to pack, and how not to get doored.- Want to build your own bike? Get started with fully photographed tutorials and inspiration from the bike lovers profiled inside.Get your bike on with The Urban Biking Handbook!