Book contents
- Frontmatter
- PREFACE
- Contents
- Table of Units
- Chapter I PRELIMINARY MATHEMATICS
- Chapter II INTRODUCTION TO ELECTROSTATICS
- Chapter III CONDUCTORS AND CONDENSERS
- Chapter IV SYSTEMS OF CONDUCTORS
- Chapter V DIELECTRICS
- Chapter VI ELECTRICAL IMAGES
- Chapter VII ELECTRIC CURRENTS
- Chapter VIII MAGNETISM
- Chapter IX ELECTROMAGNETISM
- Chapter X MAGNETIC INDUCTION AND INDUCED MAGNETISM
- Chapter XI ELECTROMAGNETIC INDUCTION
- Frontmatter
- PREFACE
- Contents
- Table of Units
- Chapter I PRELIMINARY MATHEMATICS
- Chapter II INTRODUCTION TO ELECTROSTATICS
- Chapter III CONDUCTORS AND CONDENSERS
- Chapter IV SYSTEMS OF CONDUCTORS
- Chapter V DIELECTRICS
- Chapter VI ELECTRICAL IMAGES
- Chapter VII ELECTRIC CURRENTS
- Chapter VIII MAGNETISM
- Chapter IX ELECTROMAGNETISM
- Chapter X MAGNETIC INDUCTION AND INDUCED MAGNETISM
- Chapter XI ELECTROMAGNETIC INDUCTION
Summary
This book has been written in response to suggestions from friends who have asked for a text-book on the subject adapted more particularly to the needs of candidates for Part I of the Mathematical Tripos.
A complete study of the theory of electricity and magnetism, as a logical mathematical development from experimental data, requires a knowledge of the methods of mathematical analysis far beyond what can reasonably be expected from most readers of an elementary text-book. The knowledge of pure mathematics assumed in the present volume amounts to little more than some elementary calculus and a few properties of vectors. The ground is restricted by this limitation. It covers the schedule for Part I of the Tripos, including the fundamental principles of electrostatics, Gauss's theorem, Laplace's equation, systems of conductors, homogeneous dielectrics and the theory of images; steady currents in wires; elementary theory of the magnetic field and the elementary facts about the magnetic fields of steady currents. There are also short chapters on induced magnetism and induction of currents.
From one standpoint it would be preferable that a book on a branch of Natural Philosophy should consist of a continuous logical development uninterrupted by ‘examples’. But experience seems to indicate that mathematical principles are best understood by making attempts to apply them; and, as the purpose of this book is didactic, I have had no hesitation in interspersing examples through the chapters and giving the solutions of some of them.
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- Electricity and MagnetismAn Introduction to the Mathematical Theory, pp. v - viPublisher: Cambridge University PressPrint publication year: 2009First published in: 1937