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Volume I of this work is devoted to the mathematical theory of mechanics and Volume II to the field theories of gravitation, electromagnetism and hydromechanics. The development is from first principles, but it is assumed that the reader has completed an Intermediate Course of mechanics and is studying for a First Degree, with applied mathematics as a principal subject. The work is more than adequate as a text for the applied mathematics section of Part II of the London University General Degree (excluding the statistics) and will also be found suitable for the course in natural philosophy leading to Part 1 of the Mathematics Tripos and for the applied mathematics courses arranged by other universities for their non-specialist mathematicians.
Every effort has been made to assist those students who must depend largely upon their own resources when studying the subject. All arguments are given in full detail and the results are illustrated by numerous examples taken from examination papers set at Cambridge, London and the provincial universities. Each chapter concludes with a comprehensive set of exercises relating to its subject matter.
The notation is modern and the techniques of vector analysis have been employed throughout. A knowledge of elementary vector algebra and calculus is assumed, but the more advanced ideas associated with the operators, 'div/ 'grad' and 'curl' have been developed ab initio as they are required.
The fundamental laws of mechanics are carefully presented to be consistent with the special theory of relativity, and the difficulties associated with the definition of the electromagnetic field vectors in
dielectrics and magnetic media are also given special consideration.
Answers are provided for all the exercises and there is an index to each volume.
Every effort has been made to assist those students who must depend largely upon their own resources when studying the subject. All arguments are given in full detail and the results are illustrated by numerous examples taken from examination papers set at Cambridge, London and the provincial universities. Each chapter concludes with a comprehensive set of exercises relating to its subject matter.
The notation is modern and the techniques of vector analysis have been employed throughout. A knowledge of elementary vector algebra and calculus is assumed, but the more advanced ideas associated with the operators, 'div/ 'grad' and 'curl' have been developed ab initio as they are required.
The fundamental laws of mechanics are carefully presented to be consistent with the special theory of relativity, and the difficulties associated with the definition of the electromagnetic field vectors in
dielectrics and magnetic media are also given special consideration.
Answers are provided for all the exercises and there is an index to each volume.
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