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A Student's Guide to Rotational Motion

A Student's Guide to Rotational Motion
Author: Effrosyni Seitaridou
Publisher: Cambridge University Press
Total Pages: 184
Release: 2023-07-31
Genre: Science
ISBN: 1009213318

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Rotational motion is of fundamental importance in physics and engineering, and an essential topic for undergraduates to master. This accessible yet rigorous Student's Guide focuses on the underlying principles of rotational dynamics, providing the reader with an intuitive understanding of the physical concepts, and a firm grasp of the mathematics. Key concepts covered include torque, moment of inertia, angular momentum, work and energy, and the combination of translational and rotational motion. Each chapter presents one important aspect of the topic, with derivations and analysis of the fundamental equations supported by step-by-step examples and exercises demonstrating important applications. Much of the book is focused on scenarios in which point masses and rigid bodies rotate around fixed axes, while more advanced examples of rotational motion, including gyroscopic motion, are introduced in a final chapter.


A Student's Guide to Newton's Laws of Motion

A Student's Guide to Newton's Laws of Motion
Author: Sanjoy Mahajan
Publisher: Cambridge University Press
Total Pages: 215
Release: 2020-06-18
Genre: Science
ISBN: 1108471145

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Master Newton's laws of motion, the basis of modern science and engineering, with this intuitive and accessible text.


A Student's Guide to Analytical Mechanics

A Student's Guide to Analytical Mechanics
Author: John L. Bohn
Publisher: Cambridge University Press
Total Pages: 219
Release: 2018-08-30
Genre: Science
ISBN: 1107145767

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An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.


A Student's Guide to Fourier Transforms

A Student's Guide to Fourier Transforms
Author: John Francis James
Publisher: Cambridge University Press
Total Pages: 156
Release: 2002-09-19
Genre: Mathematics
ISBN: 9780521004282

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Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.


Rotation 101

Rotation 101
Author: Valeri Vankov
Publisher: Independently Published
Total Pages: 66
Release: 2021-10-16
Genre:
ISBN:

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If you struggle with the rotation problems from advanced physics courses in high school or college, or are simply interested to learn about the basics of rotation, this book is right for you. Based on the experience of a student who self-taught for the AP Physics С Mechanics exam and written just to-the-point, with depth of connections, theoretical rigor, and clarity that a lot of other textbooks do not have, the guide draws out parallels between linear and rotational motion and expands on the specifics of rotational mechanics. Each concept and equation is presented in great detail and is supported by carefully selected examples that are followed by comprehensive solutions. The explanations are nicely written and easy to follow. This book will not only help you understand the basics of rotation, but it will also encourage you to further appreciate the underlying creativity of more complex problems in mechanics.


A Student's Guide to Lagrangians and Hamiltonians

A Student's Guide to Lagrangians and Hamiltonians
Author: Patrick Hamill
Publisher: Cambridge University Press
Total Pages: 185
Release: 2014
Genre: Mathematics
ISBN: 1107042887

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A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.


Simple Brownian Diffusion

Simple Brownian Diffusion
Author: Daniel Thomas Gillespie
Publisher: OUP Oxford
Total Pages: 336
Release: 2012-10-18
Genre: Science
ISBN: 0191641537

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Brownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusion is one of the ways in which key reactant molecules move about inside a living cell. This book focuses on the four simplest models of Brownian diffusion: the classical Fickian model, the Einstein model, the discrete-stochastic (cell-jumping) model, and the Langevin model. The authors carefully develop the theories underlying these models, assess their relative advantages, and clarify their conditions of applicability. Special attention is given to the stochastic simulation of diffusion, and to showing how simulation can complement theory and experiment. Two self-contained tutorial chapters, one on the mathematics of random variables and the other on the mathematics of continuous Markov processes (stochastic differential equations), make the book accessible to researchers from a broad spectrum of technical backgrounds.


A Student's Guide to Maxwell's Equations

A Student's Guide to Maxwell's Equations
Author: Daniel Fleisch
Publisher: Cambridge University Press
Total Pages: 129
Release: 2008-01-10
Genre: Science
ISBN: 1139468472

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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.


APlusPhysics

APlusPhysics
Author: Dan Fullerton
Publisher: Silly Beagle Productions
Total Pages: 300
Release: 2011-04-28
Genre: Education
ISBN: 0983563306

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APlusPhysics: Your Guide to Regents Physics Essentials is a clear and concise roadmap to the entire New York State Regents Physics curriculum, preparing students for success in their high school physics class as well as review for high marks on the Regents Physics Exam. Topics covered include pre-requisite math and trigonometry; kinematics; forces; Newton's Laws of Motion, circular motion and gravity; impulse and momentum; work, energy, and power; electrostatics; electric circuits; magnetism; waves; optics; and modern physics. Featuring more than five hundred questions from past Regents exams with worked out solutions and detailed illustrations, this book is integrated with the APlusPhysics.com website, which includes online question and answer forums, videos, animations, and supplemental problems to help you master Regents Physics essentials. "The best physics books are the ones kids will actually read." Advance Praise for APlusPhysics Regents Physics Essentials: "Very well written... simple, clear engaging and accessible. You hit a grand slam with this review book." -- Anthony, NY Regents Physics Teacher. "Does a great job giving students what they need to know. The value provided is amazing." -- Tom, NY Regents Physics Teacher. "This was tremendous preparation for my physics test. I love the detailed problem solutions." -- Jenny, NY Regents Physics Student. "Regents Physics Essentials has all the information you could ever need and is much easier to understand than many other textbooks... it is an excellent review tool and is truly written for students." -- Cat, NY Regents Physics Student


A Student's Guide to Entropy

A Student's Guide to Entropy
Author: Don S. Lemons
Publisher: Cambridge University Press
Total Pages: 195
Release: 2013-08-29
Genre: Science
ISBN: 1107470048

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Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Around 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.