This is a book for those who enjoy thinking about how and why
Nature can be described using mathematical tools. Approximating
Perfection considers the background behind mechanics as well as the
mathematical ideas that play key roles in mechanical applications.
Concentrating on the models of applied mechanics, the book engages
the reader in the types of nuts-and-bolts considerations that are
normally avoided in formal engineering courses: how and why models
remain imperfect, and the factors that motivated their development.
The opening chapter reviews and reconsiders the basics of calculus
from a fully applied point of view; subsequent chapters explore
selected topics from solid mechanics, hydrodynamics, and the
natural sciences. Emphasis is placed on the logic that underlies
modeling in mechanics and the many surprising parallels that exist
between seemingly diverse areas. The mathematical demands on the
reader are kept to a minimum, so the book will appeal to a wide
technical audience.
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