![]() Connecting linear algebra with linear differential equations make this crystal clear. ![]() Many people taking a linear algebra course learn and understand the techniques and proofs but don't have a clear idea of what are the uses that make it so valuable. I was particularly impressed by a chapter reviewing linear algebra and showing its application to solving linear differential equations. The questions (with solutions to those that are odd-numbered) are good and allow students to discover other techniques and applications for themselves. The worked examples and applications are very thorough and aimed at someone studying mathematical methods as part of a physics first degree course. Simmons as always explains very clearly both a principle and its underlying reasons (look-up other maths books by him you will probably never be disappointed). For a first course on differential equations this book is outstanding.
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