Appoximating Perfection

A Mathematician's Journey into the World of Mechanics

Michael Cloud, Leonid P. Lebedev

225 pages, parution le 08/06/2004

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Résumé

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.

L'auteur - Michael Cloud

Michael J.Cloud is Professor of Electrical and Computer Engineering at Lawrence Technological University. He is the author of Inequalities with Applications to Engineering and Electromagnetics. Lebedev and Cloud also coauthored Tensor Analysis, The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics.

L'auteur - Leonid P. Lebedev

Leonid P. Lebedev is Professor of Mathematics at the National University of Colombia and Professor of Mechanics and Mathematics at Rostov State University in Russia. He is the author of Functional Analysis in Mechanics and Functional Analysis: Applications in Mechanics and Inverse Problems.

Sommaire

The tools of calculus
- Is mathematical proof necessary ?
- Abstraction, understanding, Infinity
- Irrational numbers
- …
The Mechanics of continua
- Why do ships float ?
- The main notions of classical mechanics
- Forces, vectors and objectivity
- …
Elements of the strength of materials
- What are the problems of the strength of materials
- Hooke's law revisited
- Objectiveness of quantities in mechanics revisited
- …
Some questions of modelling in the natural sciences
- Modeling and simulation
- Computerization and modeling
- Numerical methods and modeling in mechanics
- …

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Michael Cloud, Leonid P. Lebedev
Parution	08/06/2004
Nb. de pages	225
Format	16 x 24
Couverture	Relié
Poids	475g
Intérieur	Noir et Blanc
EAN13	9780691117263
ISBN13	978-0-691-11726-3