A Student s Guide to Maxwell s Equations

Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1139468472
Release Date: 2008-01-10
Genre: Science

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.

A Student s Guide to Vectors and Tensors

Author: Daniel A. Fleisch
Publisher: Cambridge University Press
ISBN: 9781139503945
Release Date: 2011-09-22
Genre: Science

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 Waves

Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 9781107054868
Release Date: 2015-04-09
Genre: Science

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 Entropy

Author: Don S. Lemons
Publisher: Cambridge University Press
ISBN: 9781107470040
Release Date: 2013-08-29
Genre: Science

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.

A Student s Guide to Lagrangians and Hamiltonians

Author: Patrick Hamill
Publisher: Cambridge University Press
ISBN: 9781107042889
Release Date: 2013-11-21
Genre: Science

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

Maxwell s Equations and the Principles of Electromagnetism

Author: Richard Fitzpatrick
Publisher: Jones & Bartlett Publishers
ISBN: 9781934015209
Release Date: 2008
Genre: Science

Designed for upper division electromagnetism courses or as a reference for electrical engineers and scientists, this book introduces Maxwell’s equations and electromagnetic waves as soon as possible (i.e., in the first third of the book), and then goes on to discuss electrostatics, magnetostatics, induction, etc., in the light of those equations. The book also provides a thorough discussion of vector field theory which emphasizes the rotational invariance of the dot and cross products, together with div, grad, and curl, and thus gives a clear physical motivation for the use of those constructs to describe electric and magnetic fields. Unlike many competing books, Maxwell’s Equations & the Principles of Electromagnetism covers topics such as advanced potentials, retarded fields, forces on dielectric liquids, antenna theory, and Faraday rotations.

A Student s Guide to Geophysical Equations

Author: William Lowrie
Publisher: Cambridge University Press
ISBN: 9781139499248
Release Date: 2011-05-26
Genre: Science

The advent of accessible student computing packages has meant that geophysics students can now easily manipulate datasets and gain first-hand modeling experience - essential in developing an intuitive understanding of the physics of the Earth. Yet to gain a more in-depth understanding of physical theory, and to develop new models and solutions, it is necessary to be able to derive the relevant equations from first principles. This compact, handy book fills a gap left by most modern geophysics textbooks, which generally do not have space to derive all of the important formulae, showing the intermediate steps. This guide presents full derivations for the classical equations of gravitation, gravity, tides, earth rotation, heat, geomagnetism and foundational seismology, illustrated with simple schematic diagrams. It supports students through the successive steps and explains the logical sequence of a derivation - facilitating self-study and helping students to tackle homework exercises and prepare for exams.

Maxwell s Equations

Author: Paul G. Huray
Publisher: John Wiley & Sons
ISBN: 9780470549902
Release Date: 2011-11-04
Genre: Science

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.

Innovation in Maxwell s Electromagnetic Theory

Author: Daniel M. Siegel
Publisher: Cambridge University Press
ISBN: 0521533295
Release Date: 2003-12-11
Genre: Science

Siegel's close analysis of the original texts - with careful attention to the equations as well as to the words - reveals that mechanical modeling played a crucial role in Maxwell's initial conceptualizations of the displacement current and the electromagnetic character of light.

A Student s Guide to Data and Error Analysis

Author: Herman J. C. Berendsen
Publisher: Cambridge University Press
ISBN: 9781139497855
Release Date: 2011-04-07
Genre: Technology & Engineering

All students taking laboratory courses within the physical sciences and engineering will benefit from this book, whilst researchers will find it an invaluable reference. This concise, practical guide brings the reader up-to-speed on the proper handling and presentation of scientific data and its inaccuracies. It covers all the vital topics with practical guidelines, computer programs (in Python), and recipes for handling experimental errors and reporting experimental data. In addition to the essentials, it also provides further background material for advanced readers who want to understand how the methods work. Plenty of examples, exercises and solutions are provided to aid and test understanding, whilst useful data, tables and formulas are compiled in a handy section for easy reference.

A Student s Guide to Fourier Transforms

Author: J. F. James
Publisher: Cambridge University Press
ISBN: 9781139493949
Release Date: 2011-03-31
Genre: Science

Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through 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 Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.

A Student s Guide to Einstein s Major Papers

Author: Robert E Kennedy
Publisher: Oxford University Press
ISBN: 9780199694037
Release Date: 2012-01-19
Genre: Science

In 1905 Albert Einstein produced breakthrough work in three major areas of physics (atoms and Brownian motion, quanta, and the special theory of relativity), followed, in 1916, by the general theory of relativity. This book develops the detail of the papers, including the mathematics, to guide the reader in working through them.

A Student s Guide to Natural Science

Author: Stephen M Barr
Publisher: Open Road Media
ISBN: 9781497645097
Release Date: 2014-07-29
Genre: Science

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.