Cover of: Conics and cubics | Robert Bix

Conics and cubics

a concrete introduction to algebraic curves
  • 289 Pages
  • 0.78 MB
  • 6683 Downloads
  • English
by
Springer , New York
Curves, Algeb
StatementRobert Bix.
SeriesUndergraduate texts in mathematics
Classifications
LC ClassificationsQA567 .B59 1998
The Physical Object
Paginationx, 289 p. :
ID Numbers
Open LibraryOL699191M
ISBN 100387984011
LC Control Number97046950

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 by: About this Textbook.

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 Brand: Springer-Verlag New York. Overview.

Download Conics and cubics FB2

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 Price: $   Conics and Cubics is an accessible introduction to algebraic curves.

Its focus on curves of degree at Conics and cubics book three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas: homogenous coordinates and intersection multiplicities/5(2).

Conics and cubics: a concrete introduction to algebraic curves. Bix, Robert, Publication date. Topics. Curves, Algebraic. Publisher.

New York: : Conics and Cubics: A Concrete Introduction to Algebraic Curves by Bix, Robert and a great selection of related books, art and collectibles available now at One answer involves conic sections but we will temporarily delay explaining how conic sections are involved and, instead, turn to the question of how an author of children’s books became interested in constructibility problems.

Stephanie Cawthorne (Trevecca Nazarene University) and Judy Green (Marymount University). To suit your needs who want to start reading any book, we give you this Conics Conics and cubics book Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics) book as nice and daily reading e-book.

Why, because this book is greater than just a book. "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 s: 1. book on Conic Sections, published in the middle of the last century, the properties of the cone are rst considered, and the advantage of this method of commencing the subject, if the use of solid gures be not objected to, is especially shewn in the very general theorem of Art.

(展开全部) 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.

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.

Introduction. 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.

It is written as a book of “impressions” of a journey through the theory of complex algebraic curves. Many topics of compelling beauty occur along the way. A cursory glance at the subjects visited reveals a wonderfully eclectic selection, from conics and cubics to theta functions, Jacobians, and questions of.

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.

CONICS AND CUBICS: A CONCRETE INTRODUCTION TO ALGEBRAIC CURVES (UNDERGRADUATE TEXTS IN MATHEMATICS) By Robert Bix - Hardcover **Mint Condition**.Seller Rating: % positive. Description. Conics and Cubicsis an accessible introduction to algebraic curves.

Description Conics and cubics EPUB

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, ihe book. The three types of conic sections are the hyperbola, the parabola, and the ellipse.

The circle is type of ellipse, and is sometimes considered to be a fourth type of conic section. Conic sections can be generated by intersecting a plane with a cone.

Details Conics and cubics FB2

A cone has two identically shaped parts called nappes. Algebraic curves are the graphs of polynomial equations in two variables. This book fills the gap between the familiar subject of analytic geometry and the general study of algebraic curves, by explaining complex topics in an elementary fashion through a focus on lines, conics, and cubics.

illus. Conics and cubics: a concrete introduction to algebraic curves. [Robert Bix] -- "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. homogeneous coordinates and intersection multiplicities.\" \"The book is a text for a one-semester. ‹ Cubes, Conic Sections, and Crockett Johnson - Mean Proportionals and Doubling a Cube up Cubes, Conic Sections, and Crockett Johnson - Problem of Delos (Menaechmus) › Author(s): Stephanie Cawthorne (Trevecca Nazarene University) and Judy Green (Marymount University).

Title: Conics and Cubics: A Concrete Introduction to Algebraic Curves Buy at amazon Author: Robert Bix Publisher: Springer Verlag Date: Comment: A valuable book for any amateur mathematician who whishes a intro to algebraic geometry.

Here's a excerpt from the book's back cover: «Conics and Cubics is an accessible introduction to algebraic. The author meticulously wrote this book based upon years of research devoted to the topic.

The book is particularly useful for researchers and graduate students interested in topology, algebraic geometry and combinatorics. Features: Examines how the shape of pencils depends on the corresponding configurations of points.

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 s: 1.

Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. Download Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics) pdf books 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.

Conics and Cubics A Concrete Introduction to Algebraic 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.

suffices for this purpose, namely, the so called degeneration ~r, consisting of a conic and one of its tangent lines. In Schubert's book, however, we find a list of 13 degenerations for the (complete) cuspidal cubics, with no formal verifications.

In fact the process whereby they are. Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

With the minimum of prerequisites, Dr Reid introduces the reader to the basic concepts of algebraic geometry. book.”’ Coons suggested the use of rational polynomials to represent conic sections precisely.

Forrest pursued the ideas further and gave a rigorous treatment of rational conics and cubics.’ On the basis of theoretical works by Schoenberg, De Boor,’ Cox. and Mansfield, Riesenfeld introduced B-spline. We also included Polya's book How to Solve It, which is an excellent book on the art of doing mathematics.

Books. Bix, R., Conics and Cubics, A Concrete Introduction to Algebraic Curves, Undergraduate Texts in Mathematics, ; Lang, S., Undergraduate Algebra. Algebraic curves are the graphs of polynomial equations in two vari 3 ables, such as y3 + 5xy2 = x + 2xy. By focusing on curves of degree at most 3-lines, conics, and cubics-this book aims to fill the gap between the familiar subject of analytic geometry and the general.Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves.

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught.Conic Sections.

Conic sections (or, simply, conics) have received the most attention throughout the centuries of any known curvethey are an important design tool in the aircraft industry; they are also used in areas such as font design. A great many algorithms for the use of conics in design were developed in the s; Liming and are two books with detailed descriptions of those.