The object of this book is to give an account of the central parts of the subject in as-simple a form as possible suitable for those with no previous knowledge of it and yet at the same time to point out the different directions in which it may be developed. The greater part of the text and the examples in the body of will be found very easy. The only previous knowledge assumed 18 that of the elements of the differential and integral calculus and a little coordinate geometry. The miscellaneous examples at the end of the various chapters are slightly harder. They contain several theorems of minor importance within that should be sufficient to enable the student to solve them. They also contain geometrical and physical applications.
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