Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Communtative Algebra. 2nd Edition
Worth buying if: You want a rigorous yet computational introduction to algebraic geometry.
Skip it if: You seek a pictorial or purely intuitive popular-audience treatment.
Exact edition: Edition shown · ISBN-13 9780387946801. The Amazon link uses this ISBN, so the product page should open to the edition shown here.
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Summary
This second edition presents theory and algorithms—Gröbner bases, elimination, ideals and varieties—blended with worked examples and computational techniques across 556 pages aimed at learning by doing.
Why this book now
Still a standard, classroom-ready reference that connects classical theory to modern algorithmic practice and software tools.
30-second preview
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Best for readers who...
Good fit if you want...
- You want a rigorous yet computational introduction to algebraic geometry.
- You plan to implement or use algorithms like Gröbner bases in research or coursework.
- If you liked character-driven stories, the narrative traces family ties across decades, showing how past actions ripple forward in unexpected ways.
- You seek a pictorial or purely intuitive popular-audience treatment.
- You want a brief survey or light overview rather than a textbook-length study.
- If you prefer plot-first stories, the story unfolds deliberately and rewards patience over instant payoff.
Decided it fits?
Exact edition: Edition shown · ISBN-13 9780387946801
Worth buying if: You want a rigorous yet computational introduction to algebraic geometry.
Skip it if: You seek a pictorial or purely intuitive popular-audience treatment.
Check Amazon for the current price and availability of this exact edition.
Reader guide
Cues to help you decide faster.
Reading commitment
Substantial Longer sessions help
Expect a semester-length commitment or intensive self-study: lengthy proofs, worked computations, and exercises across a 556-page textbook.
What stands out here
The 2nd edition emphasizes algorithmic approaches and expanded examples, making the interplay between theory and computation the standout feature.
Best way to approach it
Work through chapters with pencil and computer algebra software—alternate theory, examples, and exercises for best retention.
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Exact edition: ISBN-13 9780387946801
Check Amazon for the current price and availability of this exact edition.