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An Algebraic Approach to Geometry: Geometric Trilogy II by Francis Borceux (Hardcover, 2013)

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Product Information

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. 380 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) and second degree (ellipses, hyperboloids) 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. Hence 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.

Product Identifiers

Publisher
Springer International Publishing Ag
ISBN-13
9783319017327
eBay Product ID (ePID)
190356038

Product Key Features

Author
Francis Borceux
Publication Name
An Algebraic Approach to Geometry: Geometric Trilogy II
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2013
Type
Textbook
Number of Pages
430 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
7922g

Additional Product Features

Title_Author
Francis Borceux
Country/Region of Manufacture
Switzerland

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An Algebraic Approach to Geometry: Geometric Trilogy II by Francis Borceux (Hardcover, 2013)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Nehls The Indoctrinated Brain (Hardback) (US IMPORT)

Bill Perkins Die With Zero (Paperback)

Havard's Nursing Guide to Drugs

The Fourth Turning By Neil Howe, William Strauss

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