عنوان

Geometry :

شابک

1470448432

شابک

9781470448431

عنوان اصلي

Geometry :

نام عام مواد

[Book]

ساير اطلاعات عنواني

the line and the circle /

نام نخستين پديدآور

Maureen T. Carroll, Elyn Rykken.

محل نشرو پخش و غیره

Providence, Rhode Island :

نام ناشر، پخش کننده و غيره

MAA Press, an imprint of the American Mathematical Society,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

xix, 480 pages ;

ابعاد

27 cm.

عنوان فروست

AMS/MAA textbooks ;

مشخصه جلد

volume 44

متن يادداشت

Designed for an upper-level college geometry course.

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

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.

موضوع مستند نشده

Geometry-- Study and teaching (Higher)

موضوع مستند نشده

Geometry, Textbooks.

موضوع مستند نشده

Geometrie

موضوع مستند نشده

Geometry-- Study and teaching (Higher)

موضوع مستند نشده

Geometry.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Carroll, Maureen T.,1966-

مستند نام اشخاص تاييد نشده

Rykken, Elyn,1967-

تاريخ عمليات

20200823025851.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y