## Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)

### Robert Bix

4.5 avg rating
( 2 ratings by Goodreads )

Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course.

"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.

"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

Review:

"...This book therefore belongs to the admirable tradition of laying the foundations of a difficult and potentially abstract subject by means of concrete and accessible examples. ... Two major strengths of the book are its historical perspective, in the form of informative introductions to the chapters which give the main developments in non-technical language, and its exercises, which are numerous and interesting." Peter Giblin for MathSciNet

From the reviews of the second edition:

"Algebraic geometry is a hard subject. ... But could it, or at least some of it, be presented, at the undergraduate level? This book attempts to do that. ... At the beginning of each of the four chapters, the author provides a synopsis of the historical development of the subject. And within each section many exercises are provided for further discussion and illumination. ... And the author manages to keep things concrete. So, the end result is a book which is accessible ... ." (Donald L. Vestal, MathDL – online, October, 2006)

List Price: US\$ 64.95
US\$ 63.09

Shipping: FREE
From United Kingdom to U.S.A.

Destination, Rates & Speeds

## 1.Conics and Cubics: A Concrete Introduction to Algebraic Curves (Paperback)

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating

Book Description Springer-Verlag New York Inc., United States, 2010. Paperback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course. Softcover reprint of hardcover 2nd ed. 2006. Bookseller Inventory # LIE9781441921789

US\$ 63.09
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 2.Conics and Cubics: A Concrete Introduction to Algebraic Curves (Paperback)

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 10
Print on Demand
Seller:
The Book Depository
(London, United Kingdom)
Rating

Book Description Springer-Verlag New York Inc., United States, 2010. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course. Softcover reprint of hardcover 2nd ed. 2006. Bookseller Inventory # AAV9781441921789

US\$ 66.61
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 3.Conics and Cubics: A Concrete Introduction to Algebraic Curves (Paperback)

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 10
Print on Demand
Seller:
The Book Depository US
(London, United Kingdom)
Rating

Book Description Springer-Verlag New York Inc., United States, 2010. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course. Softcover reprint of hardcover 2nd ed. 2006. Bookseller Inventory # AAV9781441921789

US\$ 68.82
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 4.Conics and Cubics

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating

Book Description Springer-Verlag New York Inc., 2010. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9781441921789

US\$ 64.84
Convert Currency
Shipping: US\$ 3.99
Within U.S.A.
Destination, Rates & Speeds

## 5.Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating

Book Description Springer, 2010. Paperback. Book Condition: New. book. Bookseller Inventory # M1441921788

US\$ 69.83
Convert Currency
Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

## 6.Conics and Cubics : A Concrete Introduction to Algebraic Curves

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9781441921789_lsuk

US\$ 65.20
Convert Currency
Shipping: US\$ 5.17
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 7.Conics and Cubics

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating

Book Description Springer-Verlag New York Inc., 2010. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9781441921789

US\$ 59.27
Convert Currency
Shipping: US\$ 11.98
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 8.Conics and Cubics. A Concrete Introduction to Algebraic Curves

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating

Book Description Springer, 2010. Paperback. Book Condition: NEW. 9781441921789 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0295010

US\$ 61.72
Convert Currency
Shipping: US\$ 10.65
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 9.Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Softcover Quantity Available: 15
Print on Demand
Seller:
Rating

Book Description Springer, 2009. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9781441921789

US\$ 69.21
Convert Currency
Shipping: US\$ 3.53
From Germany to U.S.A.
Destination, Rates & Speeds

## 10.Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)

ISBN 10: 1441921788 ISBN 13: 9781441921789
New Paperback Quantity Available: 16
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating

Book Description Springer, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 1441921788