عنوان

A differential approach to geometry

شابک

9783319017358

کد کشور

IR

شماره

EN-52519

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

A differential approach to geometry

نام عام مواد

[Book]

نام نخستين پديدآور

/ Francis Borceux

محل نشرو پخش و غیره

Cham

نام ناشر، پخش کننده و غيره

: Springer,

تاریخ نشرو بخش و غیره

, 2014.

عنوان فروست

(Geometric Trilogy

مشخصه جلد

; III)

متن يادداشت

Electronic

متن يادداشت

Includes bibliographical references and index..

متن يادداشت

Summary: This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (the Euler-Poincare characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to intuitively introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.

متن يادداشت

The Genesis of Differential Methods -- Plane Curves -- A Museum of Curves -- Skew Curves -- Local Theory of Surfaces -- Towards Riemannian Geometry -- Elements of Global Theory of Surfaces -- Appendices: A.Topology -- B.Differential Equations.

عنوان

Geometric Trilogy

شماره جلد

III

موضوع مستند نشده

Geometry, Differential

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Geometry

موضوع مستند نشده

Differential Geometry

موضوع مستند نشده

History of Mathematical Sciences

موضوع مستند نشده

MATHEMATICS / Geometry / General, bisacsh

شماره رده

مستند نام اشخاص تاييد نشده

Borceux, Francis,1948-

کشور

ایران

نام ميزبان

9783319017358.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9783319017358.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y