2 edition of **course in modern geometries** found in the catalog.

course in modern geometries

Judith N. Cederberg

- 22 Want to read
- 10 Currently reading

Published
**1989**
by Springer-Verlag in New York
.

Written in English

- Geometry.

**Edition Notes**

Statement | Judith N. Cederberg. |

Series | Undergraduate texts in mathematics, Undergraduate texts in mathematics |

Classifications | |
---|---|

LC Classifications | QA445 .C36 1989 |

The Physical Object | |

Pagination | xii, 232 p. : |

Number of Pages | 232 |

ID Numbers | |

Open Library | OL17778573M |

A modern approach based on the systematic use of transformations—Uses the complex plane and geometric transformations to present a wide variety of geometries.. Reflects a major theme in modern geometry. Ex.___ Coverage of a great variety of geometries—Both non-Euclidean and nonmetric—e.g., Möbius geometry, hyperbolic plane geometry, elliptic plane geometry, absolute geometry, and Availability: Available. "Differential geometry of curves and surfaces" by Do Carmo is a very good book; there are plenty of excellent books about manifolds. 3) A basic course on algebraic varieties require the use of algebra and differential calculus and gives example of spaces with pathological spaces .

The reader should be warned that the book is by no means an introduction to algebraic geometry. Although some of the exposition can be followed with only a minimum background in algebraic geometry, for example, based on Shafarevich’s book [], it often relies on current cohomological techniques, such as those found in Hartshorne’s book []. The course begins with a thorough review of geometry, including using synthetic and algebraic approaches, and continues with a selection of more advanced topics. Topics covered include two- and three-dimensional shapes, proving triangles congruent or similar, quadrilaterals, circles, plane geometry, and non-Euclidean geometry.

A Course in Modern Geometries | Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. ential geometry. It is based on the lectures given by the author at E otv os Lorand University and at Budapest Semesters in Mathematics. In the rst chapter, some preliminary de nitions and facts are collected, that will be used later. The classical roots of modern di erential geometry are presented in the next two chapters.

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Judith N. Cederberg (Author) › Visit Amazon's Judith N. Cederberg Page. Find all the books, read about the author, and more/5(7). A Course in Modern Geometries. A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school.

Chapter 1 presents several finite geometries in an axiomatic framework.3/5(5). A Course in Modern Geometries. A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework.

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A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. A Course in Modern Geometries - Judith Cederberg - Google Books.

A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry.5/5(2).

A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school.

Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry.

A Course in Arithmetic, Jean-Pierre Serre. A Course in Computational Algebraic Number Theory, Henri Cohen. A Course in Differential Geometry, Wilhelm Klingenberg.

A Course in Functional Analysis, John B. Conway. A Course in Homological Algebra, P. Hilton U. Stammbach. A Course in Homological Algebra, Peter J. Hilton Urs Stammbach. A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school.

Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. Additional resources for A Course in Modern Geometries. Example text. Axiom PCA. There is at most one line on any two distinct points. If P is a point not on a line m, there is exactly one line on P parallel to m.

If m is a line not on a point P, there is exactly one point on m parallel to P. (a) Construct a model of a Pappus /5(43). Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school.

The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry.

Book Language English Title A course in modern geometries Undergraduate texts in mathematics Author(S) Judith N. Cederberg (Author) Publication Data New York: Springer Publication€ Date Edition € 2nd ed.

Physical Description xix, p.: ill. ; 25 cm. Subject Mathematics Subject Headings Geometry ISBN € Copies € 0. A Course in Modern Geometries (Undergraduate Texts in Mathematics) by Cederberg, Judith N. and a great selection of related books, art and collectibles available now at A Course In Modern Geometries, Second Edition, Springer Designed for junior-senior level mathematics majors, including those who plan to teach secondary mathematics.

Chapters include lists of suggested sources for applications and/or related topics in areas such as art and history. A Course in Modern Geometries "Cederberg’s book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one’s patience I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most."Price: $ A Course in Modern Geometries "Cederberg's book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one's patience I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most." - THE UMAP JOURNAL show more3/5(4).

College geometry: an introduction to the modern geometry of the tri-angle and the circle / Nathan Altshiller-Court. - Dover ed. Originally published: 2nd ed., rev. and enl.

New York: Barnes & Noble, Includes bibliographical references and index. ISBN 1. Geometry, Modern-Plane. Title. QAC6 5ldc 8. The Topics in Hyperbolic Geometry handout. Course Description This is a course on Euclidean and non-Euclidean geometries with emphasis on (i) the contrast between the traditional and modern approaches to geometry, and (ii) the history and role of the parallel postulate.

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"A Course in Modern Geometries" is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry/5(4).

Second Edition J. N. Cederberg A Course in Modern Geometries "Cederberg's book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one's patience I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most." -THE UMAP JOURNAL.Second Edition J.

N. Cederberg A Course in Modern Geometries "Cederberga (TM)s book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust onea (TM)s I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most.".Modern Geometry by Wayne Aitken.

This is a course note on Euclidean and non-Euclidean geometries with emphasis on (i) the contrast between the traditional and modern approaches to geometry, and (ii) the history and role of the parallel postulate.