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Book
ISBN: 3540584366 3540487972 9783540584360 Year: 1994 Volume: 1588 Publisher: Berlin ; Heidelberg ; New York Springer Verlag
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Category theory. Homological algebra --- Geometry, Algebraic.
Dissertation
Year: 1985 Publisher: Erlangen-Nürnberg : Friedrich-Alexander-Universität,
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Book
ISBN: 3031097998 3031098005 Year: 2022 Publisher: Cham, Switzerland : Springer,
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Algebra. --- Àlgebra --- Matemàtica --- Àlgebra universal --- Algorismes --- Anàlisi combinatòria --- Àlgebra commutativa --- Anàlisi diofàntica --- Anàlisi espinorial --- Anàlisi p-àdica --- Àlgebra multilineal --- Àlgebres associatives --- Àlgebres no commutatives --- Combinatòria (Matemàtica) --- Congruències i residus --- Determinants (Matemàtica) --- Equacions --- Estructures algebraiques ordenades --- Factors (Àlgebra) --- Formes (Matemàtica) --- Interpolació (Matemàtica) --- Logaritmes --- Permutacions --- Representacions d'àlgebres --- Sèries (Matemàtica) --- Successions (Matemàtica) --- Teorema del binomi --- Teoria de grups --- Teoria de nombres --- Teoria de la dualitat (Matemàtica) --- Anàlisi matemàtica --- Mathematics --- Mathematical analysis
Digital
ISBN: 9783031098000 9783031097997 9783031098017 Year: 2022 Publisher: Cham Springer International Publishing
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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.
Ordered algebraic structures --- Algebra --- Geometry --- Classical mechanics. Field theory --- algebra --- landmeetkunde --- mechanica
Book
Year: 1985 Publisher: Erlangen-Nürnberg
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Dissertation
Year: 1985 Publisher: Erlangen-Nürnberg s.n.
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Book
ISBN: 9783110881271 Year: 2011 Publisher: Berlin Boston
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