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Undergraduate Texts in Mathematics Ser.: Conics and Cubics : A Concrete Introduction to Algebraic Curves by Robert Bix (2006, Hardcover)
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About this product
Product Identifiers
PublisherSpringer New York
ISBN-10038731802X
ISBN-139780387318028
eBay Product ID (ePID)18038294329
Product Key Features
Number of PagesVIII, 347 Pages
Publication NameConics and Cubics : a Concrete Introduction to Algebraic Curves
LanguageEnglish
SubjectGeometry / General, Numerical Analysis, Geometry / Algebraic
Publication Year2006
FeaturesRevised
TypeTextbook
Subject AreaMathematics
AuthorRobert Bix
SeriesUndergraduate Texts in Mathematics Ser.
FormatHardcover
Dimensions
Item Height0.3 in
Item Weight52.6 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN2005-939065
Dewey Edition22
Reviews..."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 MathSciNetFrom 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), "...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), "...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 MathSciNetFrom 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), "...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 a? ." (Donald L. Vestal, MathDL a? online, October, 2006)
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal516.3/52
Edition DescriptionRevised edition
SynopsisConics and Cubics is an accessible and well illustrated introduction to algebraic curves. The subject area is described by means of concrete and accessible examples. The book gives readers easy access to the study of elliptic curves, and 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. The only prerequisite is first-year calculus., 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, homogeneous 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. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus. The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes., 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, homogeneous 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 Bezouts Theorem on the number of intersections of two curves.The book is a text for a one-semester course. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus.The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes.
LC Classification NumberQA564-609
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