Approximating Perfection: A Mathematician’s Journey into the World of Mechanics by Leonid P. Lebedev (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “A well-written general-interest introduction to classical mechanics.” ― Choice About the Author 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. 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, and The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐As a student of physics, I took up this book to brush up on some classical mechanics before delving back into analytical mechanics. I was pleasantly surprised in a couple of ways, one, at how well the authors explain the material, albeit on occasion they do skip a step or two; second, it was not a book on physics proper but on mechanical engineering. That is not a fault though, in a sense it does a better job than the purely physics treatment other books take and you get to learn neat little things like the stress and strain tensors.So, if you want to deepen your understanding of mechanics, read this book before you hit the textbooks. .

⭐Interesting

⭐It’s a textbook posing as non fiction : the sample read was enticing but deeply disappointed to read further after paying full high price

⭐Un buen resumen de conocimientos relacionados con el cálculo, la mecánica y la resistencia de materiales. Una excelente herramienta de recapitulación.

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