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An essential part of studying to become a physical scientist or engineer is learning how to solve problems. This book contains over 200 appropriate physics problems with hints and full solutions. The author demonstrates how to break down a problem into its essential components, and how to chart a course through them to a solution. With problem-solving skills being essential for any physical scientist or engineer, this book will be invaluable to potential and current undergraduates seeking a career in these fields. The book is divided into three parts: questions, hints and solutions. The questions section is subdivided into 15 chapters, each centred on a different area of physics, from elementary particles, through classical physics, to cosmology. The second section provides brief hints, whilst the third sets out full and explicit solutions to each problem. Most begin with thoughts that students might have after reading a problem, allowing the reader to understand which questions they should be asking themselves when faced with unfamiliar situations.
This book will strengthen a student's grasp of the laws of physics by applying them to practical situations, and problems that yield more easily to intuitive insight than brute-force methods and complex mathematics. These intriguing problems, chosen almost exclusively from classical (non-quantum) physics, are posed in accessible non-technical language requiring the student to select the right framework in which to analyse the situation and decide which branches of physics are involved. The level of sophistication needed to tackle most of the two hundred problems is that of the exceptional school student, the good undergraduate, or competent graduate student. The book will be valuable to undergraduates preparing for 'general physics' papers. It is hoped that even some physics professors will find the more difficult questions challenging. By contrast, mathematical demands are minimal, and do not go beyond elementary calculus. This intriguing book of physics problems should prove instructive, challenging and fun.
This book contains 500 problems covering all of introductory physics, along with clear, step-by-step solutions to each problem.
Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.
Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.
Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.
With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 edition.
A physicist's guide to the phenomena of life Interactions between the fields of physics and biology reach back over a century, and some of the most significant developments in biology—from the discovery of DNA's structure to imaging of the human brain—have involved collaboration across this disciplinary boundary. For a new generation of physicists, the phenomena of life pose exciting challenges to physics itself, and biophysics has emerged as an important subfield of this discipline. Here, William Bialek provides the first graduate-level introduction to biophysics aimed at physics students. Bialek begins by exploring how photon counting in vision offers important lessons about the opportunities for quantitative, physics-style experiments on diverse biological phenomena. He draws from these lessons three general physical principles—the importance of noise, the need to understand the extraordinary performance of living systems without appealing to finely tuned parameters, and the critical role of the representation and flow of information in the business of life. Bialek then applies these principles to a broad range of phenomena, including the control of gene expression, perception and memory, protein folding, the mechanics of the inner ear, the dynamics of biochemical reactions, and pattern formation in developing embryos. Featuring numerous problems and exercises throughout, Biophysics emphasizes the unifying power of abstract physical principles to motivate new and novel experiments on biological systems. Covers a range of biological phenomena from the physicist's perspective Features 200 problems Draws on statistical mechanics, quantum mechanics, and related mathematical concepts Includes an annotated bibliography and detailed appendixes
Cities are a big deal. More people now live in them than don't, and with a growing world population, the urban jungle is only going to get busier in the coming decades. But how often do we stop to think about what makes our cities work? Cities are built using some of the most creative and revolutionary science and engineering ideas – from steel structures that scrape the sky to glass cables that help us communicate at the speed of light – but most of us are too busy to notice. Science and the City is your guidebook to that hidden world, helping you to uncover some of the remarkable technologies that keep the world's great metropolises moving. Laurie Winkless takes us around cities in six continents to find out how they're dealing with the challenges of feeding, housing, powering and connecting more people than ever before. In this book, you'll meet urban pioneers from history, along with today's experts in everything from roads to time, and you will uncover the vital role science has played in shaping the city around you. But more than that, by exploring cutting-edge research from labs across the world, you'll build your own vision of the megacity of tomorrow, based on science fact rather than science fiction. Science and the City is the perfect read for anyone curious about the world they live in.