How Long to Read Ordinary Differential Equations and Dynamical Systems

How Long Does it Take to Read Ordinary Differential Equations and Dynamical Systems?

It takes the average reader 6 hours and 4 minutes to read Ordinary Differential Equations and Dynamical Systems by Gerald Teschl

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

Description

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm-Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincare-Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman-Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale-Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.

How long is Ordinary Differential Equations and Dynamical Systems?

Ordinary Differential Equations and Dynamical Systems by Gerald Teschl is 356 pages long, and a total of 91,136 words.

This makes it 120% the length of the average book. It also has 111% more words than the average book.

How Long Does it Take to Read Ordinary Differential Equations and Dynamical Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 18 minutes to read Ordinary Differential Equations and Dynamical Systems aloud.

What Reading Level is Ordinary Differential Equations and Dynamical Systems?

Ordinary Differential Equations and Dynamical Systems 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.

Where Can I Buy Ordinary Differential Equations and Dynamical Systems?

Ordinary Differential Equations and Dynamical Systems by Gerald Teschl is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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