How Long to Read Ideals, Varieties, and Algorithms

By Donal O’Shea David Cox, John Little

How Long Does it Take to Read Ideals, Varieties, and Algorithms?

It takes the average reader 9 hours and 15 minutes to read Ideals, Varieties, and Algorithms by Donal O’Shea David Cox, John Little

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

Description

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The algorithms to answer questions such as those posed above are an important part of algebraic geometry. This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960's. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have let to some interesting applications, for example in robotics and in geometric theorem proving. In preparing a new edition of Ideals, Varieties and Algorithms the authors present an improved proof of the Buchberger Criterion as well as a proof of Bezout's Theorem. Appendix C contains a new section on Axiom and an update about Maple, Mathematica and REDUCE.

How long is Ideals, Varieties, and Algorithms?

Ideals, Varieties, and Algorithms by Donal O’Shea David Cox, John Little is 538 pages long, and a total of 138,804 words.

This makes it 182% the length of the average book. It also has 170% more words than the average book.

How Long Does it Take to Read Ideals, Varieties, and Algorithms Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 38 minutes to read Ideals, Varieties, and Algorithms aloud.

What Reading Level is Ideals, Varieties, and Algorithms?

Ideals, Varieties, and Algorithms 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 Ideals, Varieties, and Algorithms?

Ideals, Varieties, and Algorithms by Donal O’Shea David Cox, John Little 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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