How Long to Read Orderings, Valuations, and Quadratic Forms

How Long Does it Take to Read Orderings, Valuations, and Quadratic Forms?

It takes the average reader 2 hours and 40 minutes to read Orderings, Valuations, and Quadratic Forms by Tsit-Yuen Lam

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

Description

The remarkable relationships and interplay between orderings, valuations and quadratic forms have been the object of intensive and fruitful study in recent mathematical literature. In this book, the author, a Steele Prize winner in 1982, provides an authoritative and beautifully written account of recent developments in the theory of the ``reduced'' Witt ring of a formally real field. This area of mathematics is growing rapidly and promises to become of increasing importance in reality questions in algebraic geometry. The book covers many results from original research papers published in the last fifteen years. The presentation in these notes is largely self-contained; the only prerequisite might be a good working knowledge of general valuation theory and some familiarity with the basic notions and terminology of quadratic form theory. The first chapters of the author's previous book, published by W. A. Benjamin, are a good source for such background material. However, this volume may be read as an independent introduction to ordered fields and reduced quadratic forms using valuation-theoretic techniques. Orderings and valuations are related through the notion of compatibility; valuations and quadratic forms are related through the notion of residue forms, while quadratic forms and orderings are related through the notion of signatures. After a beginning chapter on the reduced theory of quadratic forms, the author lays the foundation for the study of compatibility. This is followed by an introduction to the techniques of residue forms and the relevant Springer theory. The author then presents the solution of the Representation Problem due to Bechker and Brocker, with simplifications due to Marshall. The notion of fans plays an all-important role in this approach. Further chapters threat the theory of real places and the real holomorphy ring, prove Brocker's theorem on the trivialization of fans, and study in detail two important invariants of a preordering (the chain length and the stability index). Other topics treated include the notion of semiorderings, its applications to SAP fields and SAP preorderings, and the valuation-theoretic Local-Global Principle for reduced quadratic forms.

How long is Orderings, Valuations, and Quadratic Forms?

Orderings, Valuations, and Quadratic Forms by Tsit-Yuen Lam is 160 pages long, and a total of 40,000 words.

This makes it 54% the length of the average book. It also has 49% more words than the average book.

How Long Does it Take to Read Orderings, Valuations, and Quadratic Forms Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 38 minutes to read Orderings, Valuations, and Quadratic Forms aloud.

What Reading Level is Orderings, Valuations, and Quadratic Forms?

Orderings, Valuations, and Quadratic Forms is suitable for students ages 10 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 Orderings, Valuations, and Quadratic Forms?

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