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What is calculus really for? This book is a highly readable 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. From Calculus to Chaos takes a fresh approach to the subject as a whole, by moving from first steps to the frontiers, and by focusing on the many important and interesting ideas which can get lost amid a snowstorm of detail in conventional texts. The book is aimed at a wide readership, and assumes only some knowledge of elementary calculus. There are exercises (with full solutions) and simple but powerful computer programs which are suitable even for readers with no previous computing experience. David Acheson's book will inspire new students by providing a foretaste of more advanced mathematics and some of its liveliest applications.
This book investigates the practical utility and conceptual beauty of calculus by exploring its role in understanding dynamic systems. David Acheson, a mathematician with extensive experience in pedagogical communication, utilizes a historical and application-focused framework to bridge the gap between elementary calculus and advanced dynamics. By stripping away excessive technical abstraction, he presents the core principles of change and motion that underpin modern physics and engineering. The text serves as a bridge for students and enthusiasts to transition from basic differentiation and integration to the study of complex, chaotic systems.
What You Will Find
Experts and educators frequently cite this work as a highly accessible entry point for students seeking to understand the real-world utility of mathematics. Readers often note that the prose is remarkably clear, successfully avoiding the dense, overwhelming detail found in traditional academic textbooks.
Page Count:
278
Publication Date:
1998-01-08
Publisher:
Oxford University Press
ISBN-10:
0198502575
ISBN-13:
9780198502579
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