Manfred Knebusch,Claus Scheiderer
Real Algebra: A First Course
Real Algebra: A First Course
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- More about Real Algebra: A First Course
Dieses Buch bietet eine Einführung in wichtige Techniken und Methoden der heutigen reellen Algebra und Geometrie, die für Studenten mittlerer Semester geeignet sind. Es behandelt grundlegende Fakten über angeordnete Körper, verschiedene Methoden zur Bestimmung der Anzahl reeller Nullstellen von Polynomen, reelle Stellen, Artins Lösung des 17. Hilbertschen Problems und das reelle Spektrum.
Format: Paperback / softback
Length: 206 pages
Publication date: 20 August 2022
Publisher: Springer International Publishing AG
This book provides readers with an introduction to important techniques and methods in modern real algebra and geometry. It assumes only basic knowledge of algebra, making it suitable for students in the middle semesters. The first chapter introduces the concept of ordered bodies and their real algebraic properties, and then discusses various methods for determining the number of real zeros of polynomials. The second chapter deals with real numbers and Artin's solution to the 17th Hilbert's problem. The third chapter is dedicated to the young concept of real spectrum and its applications.
In addition to the 1987 published "Real Algebraic Geometry" by J. Bochnak-M. Coste-M. Roy, this monograph is the first textbook on this subject. Therefore, it is highly recommended for anyone interested in this area. (H. Mitsch, Monatshefte für Mathematik 3/111, 1991)
Weight: 343g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031097997
Edition number: 1st ed. 2022
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