This Handbook of Mathematics is designed to contain, in compact form, accurate statements of those facts and formulas of pure mathematics which are most likely to be useful to the worker in applied mathematics. Many topics of an elementary character are presented in a form which permits of immediate utilization even by readers who have had no previous acquaintance with the subject; for example, the practical use of logarithms and logarithmic cross-section paper, and the elementary parts of the modern method of nomography (alignment charts), can be learned from this book without the necessity of consulting separate treatises. This course note develops mathematical techniques which are useful in solving `real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. This note embraces the ethos of mathematical modelling, and aims to show in a practical way how equations `work', and what kinds of solution behaviours can occur.
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