A Student's Guide to Maxwell's Equations

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Author: Daniel Fleisch

Publisher: Cambridge University Press

ISBN: 9781139468473

Category: Science

Page: N.A

View: 6067

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.

Maxwell's Equations

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Author: Paul G. Huray

Publisher: John Wiley & Sons

ISBN: 0470549904

Category: Science

Page: 312

View: 5418

An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.

A Student's Guide to the Schrödinger Equation

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Author: Daniel A. Fleisch

Publisher: Cambridge University Press

ISBN: 9781108439602

Category: Science

Page: 250

View: 8036

Quantum mechanics is a hugely important topic in science and engineering, but many students struggle to understand the abstract mathematical techniques used to solve the Schrödinger equation and to analyse the resulting wave functions. Retaining the popular approach used in Fleisch's other student's guides, this friendly resource uses plain language to provide detailed explanations of the fundamental concepts and mathematical techniques underlying the Schrödinger equation in quantum mechanics. It addresses the problems students find most troublesome in a clear and intuitive way, and each chapter includes several homework problems with fully worked solutions. A companion app from Edukado hosts additional resources, including an extensive glossary, quick quizzes, interactive graphs and a series of videos in which the author explains the most important concepts from each section of the book. The supporting app enables students to test their learning and develop a deeper understanding of the topic.

A Student's Guide to Vectors and Tensors

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Author: Daniel A. Fleisch

Publisher: Cambridge University Press

ISBN: 1139503944

Category: Science

Page: N.A

View: 6285

Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.

A Student's Guide to Dimensional Analysis

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Author: Don S. Lemons

Publisher: Cambridge University Press

ISBN: 110814618X

Category: Science

Page: N.A

View: 2595

This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.

A Student's Guide to the Mathematics of Astronomy

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Author: Daniel Fleisch,Julia Kregenow

Publisher: Cambridge University Press

ISBN: 1107292557

Category: Science

Page: N.A

View: 1233

The study of astronomy offers an unlimited opportunity for us to gain a deeper understanding of our planet, the Solar System, the Milky Way Galaxy and the known Universe. Using the plain-language approach that has proven highly popular in Fleisch's other Student's Guides, this book is ideal for non-science majors taking introductory astronomy courses. The authors address topics that students find most troublesome, on subjects ranging from stars and light to gravity and black holes. Dozens of fully worked examples and over 150 exercises and homework problems help readers get to grips with the concepts in each chapter. An accompanying website features a host of supporting materials, including interactive solutions for every exercise and problem in the text and a series of video podcasts in which the authors explain the important concepts of every section of the book.

A Student's Guide to Waves

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Author: Daniel Fleisch,Laura Kinnaman

Publisher: Cambridge University Press

ISBN: 1107054869

Category: Science

Page: 230

View: 1809

Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

A Student's Guide to General Relativity

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Author: Norman Gray

Publisher: Cambridge University Press

ISBN: 1107183464

Category: Science

Page: 162

View: 6562

Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations

Electricity and Magnetism

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Author: W. N. Cottingham,D. A. Greenwood

Publisher: Cambridge University Press

ISBN: 9780521368032

Category: Science

Page: 197

View: 2008

This is an undergraduate textbook on the physics of electricity, magnetism, and electromagnetic fields and waves. It is written mainly with the physics student in mind, although it will also be of use to students of electrical and electronic engineering. The approach is concise but clear, and the authors have assumed that the reader will be familiar with the basic phenomena. The theory, however, is set out in a completely self-contained and coherent way and developed to the point where the reader can appreciate the beauty and coherence of the Maxwell equations. Throughout, the authors stress the relationships between microscopic structure of matter and the observed macroscopic electric and magnetic fields. The applications cover a wide range of topics, and each chapter ends with a set of problems with answers.

A Student's Guide to Natural Science

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Author: Stephen M. Barr

Publisher: Intercollegiate Studies Institute

ISBN: 9781932236927

Category: Science

Page: 80

View: 3548

Physicist Stephen M. Barr’s lucid Student’s Guide to Natural Science aims to give students an understanding, in broad outline, of the nature, history, and great ideas of natural science from ancient times to the present, with a primary focus on physics. Barr begins with the contributions of the ancient Greeks, in particular the two great ideas that reality can be understood by the systematic use of reason and that phenomena have natural explanations. He goes on to discuss, among other things, the medieval roots of the scientific revolution of the seventeenth century, the role played by religion in fostering the idea of a lawful natural order, and the major breakthroughs of modern physics, including how many newer “revolutionary” theories are in fact related to much older ones. Throughout this thoughtful guide, Barr draws his readers’ attention to the larger themes and trends of scientific history, including the increasing unification and “mathematization” of our view of the physical world that has resulted in the laws of nature appearing more and more as forming a single harmonious mathematical edifice.