Real Algebraic Varieties

Name: Real Algebraic Varieties
Brand: Springer Nature Switzerland AG
SKU: 9783030431037
Price: 347.9 RON
Availability: InStock

Autor: Frédéric Mangolte, Catriona Maclean

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Legare: Copertă tare

Editura: Springer Nature Switzerland AG

Disponibilitate: În depozitul extern

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The book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are...

Informații despre carte

Autor

Frédéric Mangolte, Catriona Maclean

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2020

Pagini

444

EAN

9783030431037

Enbook ID

25825254

Editura

Springer Nature Switzerland AG

Greutate

821

Dimensiuni

156 x 234 x 25

Descriere completă

The book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous.They are the first objects encountered during the learning of coordinates then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences; It accompanies the reader familiar with algebra and geometry at the master level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the "folklore". In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basics and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in terms of topology and geometry of varieties of dimension two and three, without forgetting the curves, the central subject of Hilbert's famous sixteenth problem. Exercises of various levels are given, and the solutions of many of them are provided at the end of each chapter.

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