Introduction to Non-Linear Mechanics

by Nikolai Mitrofanovich Krylov, Nikolai Nikolaevich Bogoliubov

Overview

A classic introduction to non-linear mechanics from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

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Product Details

ISBN-13:	9780691079851
Publisher:	Princeton University Press
Publication date:	01/20/1950
Series:	Annals of Mathematics Studies , #11
Pages:	106
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• INTRODUCTION, pg. v
• TABLE OF CONTENTS, pg. vii
• I. SOME NON-LINEAR OSCILLATORY SYSTEMS, pg. 1
• II. ELEMENTARY THEORY OF THE FIRST APPROXIMATION, pg. 8
• III. REFINEMENT OF THE FIRST APPROXIMATION, pg. 28
• IV. CONSTRUCTION OF THE HIGHER APPROXIMATIONS, pg. 40
• V. LINEARIZATION, pg. 55
• VI. APPLICATION OF SYMBOLIC METHODS TO LINEARIZATION, pg. 63
• VII. MULTIPLY PERIODIC SYSTEMS, pg. 73
• VIII. INFLUENCE OF PERIODIC DISTURBANCES, pg. 79
• IX. COMPLEMENTS, pg. 87
• BIBLIOGRAPHY, pg. 100
• ERRATA, pg. 106