# Affine and Projective Geometry

## M. K. Bennett

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( su 1 valutazioni fornite da Goodreads )

An important new perspective on AFFINE AND PROJECTIVE GEOMETRY

This innovative book treats math majors and math education students to a fresh look at affine and projective geometry from algebraic, synthetic, and lattice theoretic points of view.

Affine and Projective Geometry comes complete with ninety illustrations, and numerous examples and exercises, covering material for two semesters of upper-level undergraduate mathematics. The first part of the book deals with the correlation between synthetic geometry and linear algebra. In the second part, geometry is used to introduce lattice theory, and the book culminates with the fundamental theorem of projective geometry.

While emphasizing affine geometry and its basis in Euclidean concepts, the book:
* Builds an appreciation of the geometric nature of linear algebra
* Expands students' understanding of abstract algebra with its nontraditional, geometry-driven approach
* Demonstrates how one branch of mathematics can be used to prove theorems in another
* Provides opportunities for further investigation of mathematics by various means, including historical references at the ends of chapters
Throughout, the text explores geometry's correlation to algebra in ways that are meant to foster inquiry and develop mathematical insights whether or not one has a background in algebra. The insight offered is particularly important for prospective secondary teachers who must major in the subject they teach to fulfill the licensing requirements of many states. Affine and Projective Geometry's broad scope and its communicative tone make it an ideal choice for all students and professionals who would like to further their understanding of things mathematical.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

From the Publisher:

Combines three different approaches to affine and projective geometry--algebraic, synthetic and lattice theoretic. By emphasizing these three perspectives, the author demonstrates how areas of mathematics overlap--in this case, algebra and geometry. Provides a complete, detailed and self-contained description of the coordinatization of (Desarguesian) affine and projective space and a thorough discussion of the lattices of these spaces' flats. Concludes with the Fundamental Theorem of Projective Geometry relating synthetic collineations, lattice and vector space isomorphisms. Includes numerous examples and exercises which enable students to develop their skills.

M. K. BENNETT is Professor of Mathematics at the University of Massachusetts, Amherst, where she earned her PhD in 1966. She was a John Wesley Young Postdoctoral Research Fellow at Dartmouth College, has authored numerous research articles on lattice theory, geometry, and quantum logics and has lectured on her work around the globe.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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## 1.Affine and Projective Geometry

Editore: Wiley-Interscience (2017)
ISBN 10: 0471113158 ISBN 13: 9780471113157
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Descrizione libro Wiley-Interscience, 2017. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria P110471113158

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## 2.Affine and Projective Geometry

Editore: Wiley-Interscience
ISBN 10: 0471113158 ISBN 13: 9780471113157
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Descrizione libro Wiley-Interscience. Hardcover. Condizione libro: New. 0471113158 New Condition. Codice libro della libreria NEW6.0245439

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## 3.Affine and Projective Geometry (Hardback)

Editore: John Wiley and Sons Ltd, United States (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
Nuovi Rilegato Quantità: 1
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Valutazione libreria

Descrizione libro John Wiley and Sons Ltd, United States, 1995. Hardback. Condizione libro: New. Language: English . Brand New Book. An important new perspective on AFFINE AND PROJECTIVE GEOMETRY This innovative book treats math majors and math education students to a fresh look at affine and projective geometry from algebraic, synthetic, and lattice theoretic points of view. Affine and Projective Geometry comes complete with ninety illustrations, and numerous examples and exercises, covering material for two semesters of upper-level undergraduate mathematics. The first part of the book deals with the correlation between synthetic geometry and linear algebra. In the second part, geometry is used to introduce lattice theory, and the book culminates with the fundamental theorem of projective geometry. While emphasizing affine geometry and its basis in Euclidean concepts, the book: Builds an appreciation of the geometric nature of linear algebra Expands students understanding of abstract algebra with its nontraditional, geometry-driven approach Demonstrates how one branch of mathematics can be used to prove theorems in another Provides opportunities for further investigation of mathematics by various means, including historical references at the ends of chapters Throughout, the text explores geometry s correlation to algebra in ways that are meant to foster inquiry and develop mathematical insights whether or not one has a background in algebra. The insight offered is particularly important for prospective secondary teachers who must major in the subject they teach to fulfill the licensing requirements of many states. Affine and Projective Geometry s broad scope and its communicative tone make it an ideal choice for all students and professionals who would like to further their understanding of things mathematical. Codice libro della libreria AAH9780471113157

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## 4.Affine and Projective Geometry (Hardback)

Editore: John Wiley and Sons Ltd, United States (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro John Wiley and Sons Ltd, United States, 1995. Hardback. Condizione libro: New. Language: English . Brand New Book. An important new perspective on AFFINE AND PROJECTIVE GEOMETRY This innovative book treats math majors and math education students to a fresh look at affine and projective geometry from algebraic, synthetic, and lattice theoretic points of view. Affine and Projective Geometry comes complete with ninety illustrations, and numerous examples and exercises, covering material for two semesters of upper-level undergraduate mathematics. The first part of the book deals with the correlation between synthetic geometry and linear algebra. In the second part, geometry is used to introduce lattice theory, and the book culminates with the fundamental theorem of projective geometry. While emphasizing affine geometry and its basis in Euclidean concepts, the book: Builds an appreciation of the geometric nature of linear algebra Expands students understanding of abstract algebra with its nontraditional, geometry-driven approach Demonstrates how one branch of mathematics can be used to prove theorems in another Provides opportunities for further investigation of mathematics by various means, including historical references at the ends of chapters Throughout, the text explores geometry s correlation to algebra in ways that are meant to foster inquiry and develop mathematical insights whether or not one has a background in algebra. The insight offered is particularly important for prospective secondary teachers who must major in the subject they teach to fulfill the licensing requirements of many states. Affine and Projective Geometry s broad scope and its communicative tone make it an ideal choice for all students and professionals who would like to further their understanding of things mathematical. Codice libro della libreria AAH9780471113157

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## 5.Affine and Projective Geometry

Editore: Wileyand#8211;Blackwell (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
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Descrizione libro Wileyand#8211;Blackwell, 1995. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria FW-9780471113157

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## 6.Geometry

Editore: John Wiley & Sons (2016)
ISBN 10: 0471113158 ISBN 13: 9780471113157
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Descrizione libro John Wiley & Sons, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780471113157_lsuk

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## 7.Affine and Projective Geometry

Editore: Wileyand#8211;Blackwell (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
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Descrizione libro Wileyand#8211;Blackwell, 1995. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780471113157

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## 8.Affine and Projective Geometry

Editore: Wiley-Interscience (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
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Descrizione libro Wiley-Interscience, 1995. Hardcover. Condizione libro: New. 1. Codice libro della libreria DADAX0471113158

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## 9.Affine and Projective Geometry

Editore: Wileyand#8211;Blackwell (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
Nuovi Quantità: > 20
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Descrizione libro Wileyand#8211;Blackwell, 1995. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780471113157

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## 10.Affine and Projective Geometry

Editore: Wiley-Interscience (1995)
ISBN 10: 0471113158 ISBN 13: 9780471113157
Nuovi Rilegato Quantità: 10
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Descrizione libro Wiley-Interscience, 1995. Hardcover. Condizione libro: New. Codice libro della libreria INGM9780471113157

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