عنوان

An Algebraic Approach to Geometr

شابک

9783319017334

کد کشور

IR

شماره

EN-52520

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

An Algebraic Approach to Geometr

نام عام مواد

[Book]

ساير اطلاعات عنواني

:Geometric Trilogy II

نام نخستين پديدآور

/ electronic resource

محل نشرو پخش و غیره

Cham

نام ناشر، پخش کننده و غيره

: Springer International Publishing :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2014.

نام خاص و کميت اثر

XVII, 430 s. 117 illus. , online resource..

متن يادداشت

9783319017327.

متن يادداشت

Electronic

متن يادداشت

Summary: This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic in geometric applications, such as cryptography.aa a380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates and equations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes, @2026) and second degree (ellipses, hyperboloids, @2026) geometric figures, in the affine, the Euclidean, the Hermitian and the projective contexts. But recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, like in spaces constructed on finite fields. And of course, why not also turn our attention to geometric figures of higher degrees? Besides all the linear aspects of geometry in their most general setting, this book also describes useful algebraic tools for studying curves of arbitrary degree and investigates results as advanced as the Bezout theorem, the Cramer paradox, topological group of a cubic, rational curves etc. a aHence the book is of interest for all those who have to teach or study linear geometry: affine, Euclidean, Hermitian, projective; it is also of great interest to those who do not want to restrict themselves to the undergraduate level of geometric figures of degree one or two.

متن يادداشت

Introduction -- Preface -- 1.The Birth of Analytic Geometry -- 2.Affine Geometry -- 3.More on Real Affine Spaces -- 4.Euclidean Geometry -- 5.Hermitian Spaces -- 6.Projective Geometry -- 7.Algebraic Curves -- Appendices:aA. Polynomials Over a Field -- B. Polynomials in Several Variables -- C. Homogeneous Polynomials -- D. Resultants -- E. Symmetric Polynomials -- F. Complex Numbers -- G. Quadratic Forms -- H. Dual Spaces -- Index -- Bibliography.

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Geometry

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Geometry

موضوع مستند نشده

Projective Geometry

موضوع مستند نشده

History of Mathematical Sciences

شماره رده

مستند نام اشخاص تاييد نشده

Borceux, Francis.

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9783319017327.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9783319017327.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