Ordinary Differential Equations
Book information
Description
Since the time of Newton differential equations have become an essential mathematical tool for the solution of many physical problems. Accordingly the reader is introduced to this subject by considering problems derived from several scientific disciplines. It is assumed that the reader has sufficient knowledge of calculus to evaluate the various integrals which arise. Care has been taken to avoid the use of the relation e^{ia} = cos a + i sin a in Chapter 5 in order that readers unfamiliar with this relation can follow all the developments of that chapter. However, such readers are advised to omit Sections 62 and 64 of Chapter 7. The contents of this book are adequate for the requirements of under- graduate scientists and engineers and for a first-year course for under- graduate mathematicians. It is hoped that it may also be useful to school scholarship candidates. Hence the text is presented without emphasis on rigour.
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