How Long to Read Dynamical Systems and Linear Algebra

By Fritz Colonius

How Long Does it Take to Read Dynamical Systems and Linear Algebra?

It takes the average reader 4 hours and 48 minutes to read Dynamical Systems and Linear Algebra by Fritz Colonius

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

Description

This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the autonomous case for one matrix A via induced dynamical systems in ℝd and on Grassmannian manifolds. Then the main nonautonomous approaches are presented for which the time dependency of A(t) is given via skew-product flows using periodicity, or topological (chain recurrence) or ergodic properties (invariant measures). The authors develop generalizations of (real parts of) eigenvalues and eigenspaces as a starting point for a linear algebra for classes of time-varying linear systems, namely periodic, random, and perturbed (or controlled) systems. The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students.

How long is Dynamical Systems and Linear Algebra?

Dynamical Systems and Linear Algebra by Fritz Colonius is 284 pages long, and a total of 72,136 words.

This makes it 96% the length of the average book. It also has 88% more words than the average book.

How Long Does it Take to Read Dynamical Systems and Linear Algebra Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 34 minutes to read Dynamical Systems and Linear Algebra aloud.

What Reading Level is Dynamical Systems and Linear Algebra?

Dynamical Systems and Linear Algebra 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 Dynamical Systems and Linear Algebra?

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