Geometry: The Line and the Circle

$19.99

Download Geometry: The Line and the Circle written by Maureen T. Carroll, Elyn Rykken in PDF format. This book is under the category Mathematics and bearing the isbn/isbn13 number 1470448432/9781470448431. You may reffer the table below for additional details of the book.

SKU: 4b26dc4663cc Category: Tag:

Specifications

book-author

Maureen T. Carroll, Elyn Rykken

publisher

American Mathematical Society

file-type

PDF

pages

480 pages

language

English

isbn10

1470448432

isbn13

9781470448431


Book Description

Geometry: The Line and the Circle (PDF) is an undergraduate textbook 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 ebook connects topics in non-Euclidean and 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 hyperbolic; spherical; and taxicab; as well as finite affine and projective geometries these 2 objects are highlighted and analyzed. Along the way; the reader contemplates fundamental questions such as: What does parallel mean? What is a straight line? What is area? What is distance? There is a strong focus on axiomatic structures throughout the textbook. 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 ebook is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Additional information

book-author

Maureen T. Carroll, Elyn Rykken

publisher

American Mathematical Society

file-type

PDF

pages

480 pages

language

English

isbn10

1470448432

isbn13

9781470448431

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