Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)
Language: English
Published by Springer, 2004
- Hardcover
- Used
Seller: Mythos Center Books, Frontenac, MN, U.S.A.Mythos Center Books
AbeBooks seller since January 30, 2012
Condition: Used - Very good
US$ 65.00
Quantity: 1 available
Add to basketItem description from seller
This is 1998 First Edition. Near fine CLEAN.
Seller Inventory # 69470
- Title
- Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)
- Author
- Robert Bix
- Publisher
- Springer
- Publication year
- 2004
- Condition
- Used: Very Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387984011
- ISBN 13
- 9780387984018
- Item weight
- 20 ounces
- Seller catalogs
- Mathematics
By classifying irreducible cubics over the real numbers and proving that their points form abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout's Theorem on the number of intersections of any two curves without common factors.
The book is a text for a one-semester course. The course can serve both as the one undergraduate geometry course taken by mathematics majors in general and as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus.
"Synopsis" may belong to another edition of this title.
From the Back Cover
Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas: homogenous coordinates and intersection multiplicities.
By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout's Theorem on the number of intersections of two curves.
The book is a text for a one-semester course on algebraic curves for junior-senior mathematics majors. The only prerequisite is first-year calculus.
The new edition introduces the deeper study of curves through parametrization by power series. Two uses of parametrizations are presented: counting multiple intersections of curves and proving the duality of curves and their envelopes.
About the first edition:
"The book...belongs in the admirable tradition of laying the foundations of a difficult and potentially abstract subject by means of concrete and accessible examples."
- Peter Giblin, MathSciNet
"About the title" may belong to another edition of this title.
Mythos Center Books
Frontenac, MN, U.S.A.
AbeBooks seller since January 30, 2012
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Mythos Center Books is a research archive connected with Mythos Center, specializing in the areas of folklore, mythology, comparative religions, psychology, sociology, and depth psychology. Established 1990. Please send us with your want lists in these fields. As of 2025, we are dispersing the Mythos Center research collection.
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