There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generaliz...

This unique book presents a particularly beautiful way of looking at special relativity. The author encourages students to see beyond the formulas to the deeper structure.The unification of space and time introduced by Einstein’s special theory of relativity is one of the cornerstones of the modern scientific description of the universe. Yet the unification is counterintuitive because we perceive time very differently from space. Even in relativity, time is not just another dimensi...

Requiring little more than calculus and some linear algebra, this book provides readers with a coherent path to understanding relativity. It helps readers learn just enough differential geometry to grasp the basics of general relativity. The first half of the book describes some of the surprising implications of relativity without introducing more formalism than necessary. The second half takes a more detailed look at the mathematics of differential forms, showing how they are used to desc...

The pattern set nearly 70 years ago by Maxwell's Treatise on Electricity and Magnetism has had a dominant influence on almost every subsequent English and American text, persisting to the present day. The Treatise was undertaken with the intention of presenting a connected account of the entire known body of electric and magnetic phenomena from the single point of view of Faraday. Thus, it contained little or no mention of the hypotheses put forward on the Continent in earlier years by Rie...

The guide to vector analysis that helps students study faster, learn better, and get top gradesMore than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.Fully compatible with your classroom text, Schaum's highl...

Feynman Simplified gives mere mortals access to the fabled Feynman Lectures on Physics.Quantum mechanics is rarely taught well in introductory physics courses, largely because this challenging subject was not well taught to many of today’s instructors. Few had the opportunity to learn quantum mechanics from some who understood it profoundly; almost none learned it from one of its creators. Here more than anywhere else, Feynman excels. Here more than anywhere else, Feynman Simplifie...

In a sense this is a book for the beginner in mechanics, but in another sense it is not. From the time we make our first movements, crude ideas on force, mass, and motion take shape in our minds. This body of ideas might be reduced to some order at high school as crude ideas of geometry are reduced to order, but that is not the educational practice in North America. There is rather an accumulation of miscellaneous facts bearing on mechanics, some mathematical and some experimental, until a...

A comprehensive, modern introduction to electromagnetismThis graduate-level physics textbook provides a comprehensive treatment of the basic principles and phenomena of classical electromagnetism. While many electromagnetism texts use the subject to teach mathematical methods of physics, here the emphasis is on the physical ideas themselves. Anupam Garg distinguishes between electromagnetism in vacuum and that in material media, stressing that the core physical que...

The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts.The book provides thorough treatment of elementary vector operators and their algebra, product of two and three vectors and various en...

Unravel the mystery of SUPERSYMMETRYTrying to comprehend supersymmetry but feeling a bit off balance? Grab hold of this straightforward guide and learn the fundamental concepts behind this revolutionary principle.Covers supercharges, SUPERFIELDS, superspace, SUSY breaking, the minimal supersymmetric standard model, and moreLOADED with DETAILED examples, ILLUSTRATIONS, and explanationsPerfect for SELF-STUDY or as a classroom SUPPLEMENTCO...

An accessible exploration of a notoriously difficult subject, this "gem of physics pedagogy . . . should be required reading for all courses on thermodynamics" (Robert C. Hilborn, University of Texas at Dallas).Presenting classical thermodynamics as a concise and discrete whole, Mere Thermodynamics is a perfect tool for teaching the theory's central concepts and methods. The book features end-of-chapter practice problems, an appendix of worked problems, a ...

Charged Particle Optics Theory: An Introduction identifies the most important concepts of charged particle optics theory, and derives each mathematically from the first principles of physics. Assuming an advanced undergraduate-level understanding of calculus, this book follows a logical progression, with each concept building upon the preceding one. Beginning witha non-mathematical survey of the optical nature of a charged particle beam, the text:Discusses...