How Long to Read How Many Zeroes?

By Pinaki Mondal

How Long Does it Take to Read How Many Zeroes??

It takes the average reader 6 hours and 9 minutes to read How Many Zeroes? by Pinaki Mondal

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

Description

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein’s original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.

How long is How Many Zeroes??

How Many Zeroes? by Pinaki Mondal is 358 pages long, and a total of 92,364 words.

This makes it 121% the length of the average book. It also has 113% more words than the average book.

How Long Does it Take to Read How Many Zeroes? Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 24 minutes to read How Many Zeroes? aloud.

What Reading Level is How Many Zeroes??

How Many Zeroes? 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 How Many Zeroes??

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