Ideals, varieties, and algorithms
David A. Cox
Reading Time
at 250 WPM11h 2m
The average reader, reading at a speed of 250 WPM, would take 11h 2m to read Ideals, varieties, and algorithms.
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23
days at 30 min/day
662
total minutes
Ideals, varieties, and algorithms
by David A. Cox, David Cox, John Little
Published
2015
Publisher
Springer London, Limited
Pages
662
ISBN-13
9783319167213
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 1960s. 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 led to some interesting applications - for example, in robotics and in geometric theorem proving.
Subjects
Elements
Elementary linear algebra
Kokuritsu Kokkai Toshokan shozō Meijiki kankō tosho maikuro-ban shūsei
A first course in abstract algebra
The Lifeguard
Problems and theorems in analysis
Frequently Asked Questions
How many pages are in Ideals, varieties, and algorithms?
This edition of Ideals, varieties, and algorithms has approximately 662 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 Ideals, varieties, and algorithms?
For most readers, Ideals, varieties, and algorithms typically takes between 13h 48m and 9h 12m to complete. This is based on the book's length of approximately 165,500 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 11h 2m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 23 days • Estimated word count: 165,500 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 Ideals, varieties, and algorithms?
The estimated word count for Ideals, varieties, and algorithms is approximately 165,500 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 Ideals, varieties, and algorithms?
Ideals, varieties, and algorithms was written by David A. Cox, David Cox, John Little.
When was Ideals, varieties, and algorithms published?
The publication date for this specific edition is 2015. The original work may have been published on a different date.