Binomial Ideals

Jürgen Herzog

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5h 40m

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12

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340

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Binomial Ideals

by Jürgen Herzog

Oct 10, 2018

Springer

340

9783319953472

3319953478

Description

"This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals. In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, and applications of binomial ideals to other areas of mathematics. The book begins with a brief, self-contained overview of the modern theory of Gröbner bases and the necessary algebraic and homological concepts from commutative algebra. Binomials and binomial ideals are then considered in detail, along with a short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the theory of binomial ideals, including edge rings and edge polytopes, join-meet ideals of finite lattices, binomial edge ideals, ideals generated by 2-minors, and binomial ideals arising from statistics. Each chapter concludes with a set of exercises and a list of related topics and results that will complement and offer a better understanding of the material presented. Binomial Ideals is suitable for graduate students in courses on commutative algebra, algebraic combinatorics, and statistics. Additionally, researchers interested in any of these areas but familiar with only the basic facts of commutative algebra will find it to be a valuable resource."--Page 4 of cover.

Binomial Distribution Handbook for Scientists and Engineers

Binomial Distribution Handbook for Scientists and Engineers

Art of Proving Binomial Identities

Art of Proving Binomial Identities

The doctrine of permutations and combinations, being an essential and fundamental part of the doctrine of chances; as it is delivered by Mr. James Bernoulli, in his excellent treatise on the doctrine of chances, intitled, Ars conjectandi, and by the celebrated Dr. John Wallis, of Oxford, in a tract intitled from the subject, and published at the end of his Treatise on algebra: in the former of which tracts is contained, a demonstration of Sir Isaac Newton's famous binomial theorem, in the cases of integral powers, and of the reciprocals of integral powers. Together with some other useful mathematical tracts

The doctrine of permutations and combinations, being an essential and fundamental part of the doctrine of chances; as it is delivered by Mr. James Bernoulli, in his excellent treatise on the doctrine of chances, intitled, Ars conjectandi, and by the celebrated Dr. John Wallis, of Oxford, in a tract intitled from the subject, and published at the end of his Treatise on algebra: in the former of which tracts is contained, a demonstration of Sir Isaac Newton's famous binomial theorem, in the cases of integral powers, and of the reciprocals of integral powers. Together with some other useful mathematical tracts

Negative binomial regression

Negative binomial regression

Table of binomial coefficients

Table of binomial coefficients

Table of binomial coefficients

Table of binomial coefficients

Frequently Asked Questions

How many pages are in Binomial Ideals?

This edition of Binomial Ideals has approximately 340 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.

How long does it take to read Binomial Ideals?

For most readers, Binomial Ideals typically takes between 7h 5m and 4h 43m to complete. This is based on the book's length of approximately 85,000 words and common reading speeds.

Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 5h 40m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 12 days • Estimated word count: 85,000 words

Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.

What is the word count of Binomial Ideals?

The estimated word count for Binomial Ideals is approximately 85,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.

This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.

Who is the author of Binomial Ideals?

Binomial Ideals was written by Jürgen Herzog.

When was Binomial Ideals published?

The publication date for this specific edition is Oct 10, 2018. The original work may have been published on a different date.