Elyn Rykken's Books

Geometry: The Line and the Circle

By: Maureen T. Carroll,Elyn Rykken

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Geometry: The Line and the Circle

By: Maureen T. Carroll,Elyn Rykken

Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

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Page Count

502

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470448432

ISBN 13

9781470448431

Writing Projects for Mathematics Courses

Crushed Clowns, Cars, and Coffee to Go

By: Annalisa Crannell,Gavin LaRose,Thomas Ratliff,Elyn Rykken

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Writing Projects for Mathematics Courses

Crushed Clowns, Cars, and Coffee to Go

By: Annalisa Crannell,Gavin LaRose,Thomas Ratliff,Elyn Rykken

Writing Projects for Mathematics Courses is a collection of writing projects suitable for a wide range of undergraduate mathematics courses, from a survey of mathematics to differential equations. The projects vary in their level of difficulty and in the mathematics that they require but are similar in the mode of presentation and use of applications. Students see these problems as real in a way that textbook problems are not, even though many of the characters involved (e.g. dime-store detectives and CEOs) are obviously fictional. The stories are sometimes fanciful and sometimes grounded in standard scientific applications, but the mere existence of the story draws the students in and makes the problem relevant.

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Page Count

118

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1614441138

ISBN 13

9781614441137

Geometry: The Line and the Circle

By: Maureen T. Carroll,Elyn Rykken

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Geometry: The Line and the Circle

By: Maureen T. Carroll,Elyn Rykken

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

502

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470448432

ISBN 13

9781470448431

Book's by Elyn Rykken

Geometry: The Line and the Circle

Geometry: The Line and the Circle

Writing Projects for Mathematics Courses

Writing Projects for Mathematics Courses

Geometry: The Line and the Circle

Geometry: The Line and the Circle

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