How Long to Read Equivariant Degree Theory

How Long Does it Take to Read Equivariant Degree Theory?

It takes the average reader 6 hours and 32 minutes to read Equivariant Degree Theory by Jorge Ize

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

Description

This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties are derived. The next part is devoted to the study of equivariant homotopy groups of spheres and to the classification of equivariant maps in the case of abelian actions. These groups are explicitely computed and the effects of symmetry breaking, products and composition are thorougly studied. The last part deals with computations of the equivariant index of an isolated orbit and of an isolated loop of stationary points. Here differential equations in a variety of situations are considered: symmetry breaking, forcing, period doubling, twisted orbits, first integrals, gradients etc. Periodic solutions of Hamiltonian systems, in particular spring-pendulum systems, are studied as well as Hopf bifurcation for all these situations.

How long is Equivariant Degree Theory?

Equivariant Degree Theory by Jorge Ize is 385 pages long, and a total of 98,175 words.

This makes it 130% the length of the average book. It also has 120% more words than the average book.

How Long Does it Take to Read Equivariant Degree Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 56 minutes to read Equivariant Degree Theory aloud.

What Reading Level is Equivariant Degree Theory?

Equivariant Degree Theory 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 Equivariant Degree Theory?

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