How Long to Read Valuations, Orderings, and Milnor $K$-Theory

How Long Does it Take to Read Valuations, Orderings, and Milnor $K$-Theory?

It takes the average reader 5 hours and 11 minutes to read Valuations, Orderings, and Milnor $K$-Theory by Ido Efrat

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

Description

This monograph is a comprehensive exposition of the modern theory of valued and ordered fields. It presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. Deeper cohomological aspects are studied in its last part in an elementary manner. This is done by means of the newly developed theory of generalized Milnor $K$-rings. The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies themin a unified manner. The presentation is almost entirely self-contained. In particular, the text develops the needed machinery of ordered abelian groups. This is then used throughout the text to replace the more classical techniques of commutative algebra. Likewise, the book provides an introductionto the Milnor $K$-theory. The reader is introduced to the valuation-theoretic techniques as used in modern Galois theory, especially in applications to birational anabelian geometry, where one needs to detect valuations from their ``cohomological footprints''. These powerful techniques are presented here for the first time in a unified and elementary way.

How long is Valuations, Orderings, and Milnor $K$-Theory?

Valuations, Orderings, and Milnor $K$-Theory by Ido Efrat is 305 pages long, and a total of 77,775 words.

This makes it 103% the length of the average book. It also has 95% more words than the average book.

How Long Does it Take to Read Valuations, Orderings, and Milnor $K$-Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 5 minutes to read Valuations, Orderings, and Milnor $K$-Theory aloud.

What Reading Level is Valuations, Orderings, and Milnor $K$-Theory?

Valuations, Orderings, and Milnor $K$-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 Valuations, Orderings, and Milnor $K$-Theory?

Valuations, Orderings, and Milnor $K$-Theory by Ido Efrat is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Valuations, Orderings, and Milnor $K$-Theory by Ido Efrat on Amazon click the button below.