How Long to Read Applied Asymptotic Methods in Nonlinear Oscillations

By Yuri A. Mitropolsky

How Long Does it Take to Read Applied Asymptotic Methods in Nonlinear Oscillations?

It takes the average reader 5 hours and 44 minutes to read Applied Asymptotic Methods in Nonlinear Oscillations by Yuri A. Mitropolsky

Assuming a reading speed of 250 words per minute. Learn more

Description

Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We use these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations.

How long is Applied Asymptotic Methods in Nonlinear Oscillations?

Applied Asymptotic Methods in Nonlinear Oscillations by Yuri A. Mitropolsky is 342 pages long, and a total of 86,184 words.

This makes it 115% the length of the average book. It also has 105% more words than the average book.

How Long Does it Take to Read Applied Asymptotic Methods in Nonlinear Oscillations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 50 minutes to read Applied Asymptotic Methods in Nonlinear Oscillations aloud.

What Reading Level is Applied Asymptotic Methods in Nonlinear Oscillations?

Applied Asymptotic Methods in Nonlinear Oscillations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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