What is calculus really for? This text is an introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e. of how - and why - things change with time. Problems of this kind lie at the heart of much of applied mathematics, physics, and engineering. The text moves from first steps to the frontiers, and highlights important and interesting ideas. Aimed at a wide readership, the text assumes only some knowledge of elementary calculus. Exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. The book aims to inspire new students by providing a foretaste of more advanced mathematics and showing just how interesting the subject can be.
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What is calculus really for? This text is an introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e. of how - and why - things change with time. Problems of this kind lie at the heart of much of applied mathematics, physics, and engineering. The text moves from first steps to the frontiers, and highlights important and interesting ideas. Aimed at a wide readership, the text assumes only some knowledge of elementary calculus. Exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. The book aims to inspire new students by providing a foretaste of more advanced mathematics and showing just how interesting the subject can be.
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