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Real Algebra

- A First Course
Af: Manfred Knebusch, Claus Scheiderer Engelsk Paperback

Real Algebra

- A First Course
Af: Manfred Knebusch, Claus Scheiderer Engelsk Paperback
Tjek vores konkurrenters priser
This book provides an introduction to fundamental methods and techniques of algebra over ordered fields. It is a revised and updated translation of the classic textbook Einführung in die reelle Algebra. Beginning with the basics of ordered fields and their real closures, the book proceeds to discuss methods for counting the number of real roots of polynomials. Followed by a thorough introduction to Krull valuations, this culminates in Artin's solution of Hilbert's 17th Problem. Next, the fundamental concept of the real spectrum of a commutative ring is introduced with applications. The final chapter gives a brief overview of important developments in real algebra and geometry—as far as they are directly related to the contents of the earlier chapters—since the publication of the original German edition. Real Algebra is aimed at advanced undergraduate and beginning graduate students who have a good grounding in linear algebra, field theory and ring theory. It also provides a carefully written reference for specialists in real algebra, real algebraic geometry and related fields.
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Tjek vores konkurrenters priser
This book provides an introduction to fundamental methods and techniques of algebra over ordered fields. It is a revised and updated translation of the classic textbook Einführung in die reelle Algebra. Beginning with the basics of ordered fields and their real closures, the book proceeds to discuss methods for counting the number of real roots of polynomials. Followed by a thorough introduction to Krull valuations, this culminates in Artin's solution of Hilbert's 17th Problem. Next, the fundamental concept of the real spectrum of a commutative ring is introduced with applications. The final chapter gives a brief overview of important developments in real algebra and geometry—as far as they are directly related to the contents of the earlier chapters—since the publication of the original German edition. Real Algebra is aimed at advanced undergraduate and beginning graduate students who have a good grounding in linear algebra, field theory and ring theory. It also provides a carefully written reference for specialists in real algebra, real algebraic geometry and related fields.
Produktdetaljer
Sprog: Engelsk
Sider: 206
ISBN-13: 9783031097997
Indbinding: Paperback
Udgave:
ISBN-10: 3031097998
Udg. Dato: 23 okt 2022
Længde: 18mm
Bredde: 233mm
Højde: 155mm
Forlag: Springer International Publishing AG
Oplagsdato: 23 okt 2022
Forfatter(e) Manfred Knebusch, Claus Scheiderer


Kategori Algebraisk geometri


ISBN-13 9783031097997


Sprog Engelsk


Indbinding Paperback


Sider 206


Udgave


Længde 18mm


Bredde 233mm


Højde 155mm


Udg. Dato 23 okt 2022


Oplagsdato 23 okt 2022


Forlag Springer International Publishing AG

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