Vor Ort
Merkzettel Warenkorb
Produktbild: Algebra
- 11%

Algebra Volume II

11% sparen

62,99 € UVP 71,49 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

17.10.2003

Abbildungen

XII, 1 illus., schwarz-weiss Illustrationen

Verlag

Springer Us

Seitenzahl

284

Maße (L/B/H)

23,5/15,5/1,7 cm

Gewicht

940 g

Auflage

1st ed. 1991. 1st softcover printing 2003

Übersetzt von

J.R. Schulenberger

Sprache

Englisch

ISBN

978-0-387-40625-1

Beschreibung

Rezension

From the reviews:



"This is the second volume of the English translation of B. L. van der Waerden’s classic textbook ‘Algebra’. … In fact, it represents the first softcover printing of the original translation which, on its part, had first appeared in1970. … this masterly exposition is still worth reading today, especially for beginners in commutative algebra and algebraic geometry. … It is van der Waerden’s inimitable style of presenting the principles of modern algebra that has survived all new fashions in algebra … ." (Werner Kleinert, Zentralblatt MATH, Vol. 1032 (7), 2004)


"In the glad to have you back department, I’m delighted that Springer has decided to reprint the two volumes of B.L.van der Waerden’s Algebra. Based in part on lectures by Emmy Noether and Emil Artin, this is the book that brought ‘abstract algebra’ to the mathematical world. … the book reflects the excitement that accompanied the birth of axiomatic algebra. … a book to treasure. I am glad it’s back." (MAA-Online, March, 2004)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

17.10.2003

Abbildungen

XII, 1 illus., schwarz-weiss Illustrationen

Verlag

Springer Us

Seitenzahl

284

Maße (L/B/H)

23,5/15,5/1,7 cm

Gewicht

940 g

Auflage

1st ed. 1991. 1st softcover printing 2003

Übersetzt von

J.R. Schulenberger

Sprache

Englisch

ISBN

978-0-387-40625-1

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: Algebra
  • 12 Linear Algebra.- 12.1 Modules over a Ring.- 12.2 Modules over Euclidean Rings. Elementary Divisors.- 12.3 The Fundamental Theorem of Abelian Groups.- 12.4 Representations and Representation Modules.- 12.5 Normal Forms of a Matrix in a Commutative Field.- 12.6 Elementary Divisors and Characteristic Functions.- 12.7 Quadratic and Hermitian Forms.- 12.8 Antisymmetric Bilinear Forms.- 13 Algebras.- 13.1 Direct Sums and Intersections.- 13.2 Examples of Algebras.- 13.3 Products and Crossed Products.- 13.4 Algebras as Groups with Operators. Modules and Representations.- 13.5 The Large and Small Radicals.- 13.6 The Star Product.- 13.7 Rings with Minimal Condition.- 13.8 Two-Sided Decompositions and Center Decomposition.- 13.9 Simple and Primitive Rings.- 13.10 The Endomorphism Ring of a Direct Sum.- 13.11 Structure Theorems for Semisimple and Simple Rings.- 13.12 The Behavior of Algebras under Extension of the Base Field.- 14 Representation Theory of Groups and Algebras.- 14.1 Statement of the Problem.- 14.2 Representation of Algebras.- 14.3 Representations of the Center.- 14.4 Traces and Characters.- 14.5 Representations of Finite Groups.- 14.6 Group Characters.- 14.7 The Representations of the Symmetric Groups.- 14.8 Semigroups of Linear Transformations.- 14.9 Double Modules and Products of Algebras.- 14.10 The Splitting Fields of a Simple Algebra.- 14.11 The Brauer Group. Factor Systems.- 15 General Ideal Theory of Commutative Rings.- 15.1 Noetherian Rings.- 15.2 Products and Quotients of Ideals.- 15.3 Prime Ideals and Primary Ideals.- 15.4 The General Decomposition Theorem.- 15.5 The First Uniqueness Theorem.- 15.6 Isolated Components and Symbolic Powers.- 15.7 Theory of Relatively Prime Ideals.- 15.8 Single-Primed Ideals.- 15.9 Quotient Rings.- 15.10 The Intersection of all Powers of an Ideal.- 15.11 The Length of a Primary Ideal. Chains of Primary Ideals in Noetherian Rings.- 16 Theory of Polynomial Ideals.- 16.1 Algebraic Manifolds.- 16.2 The Universal Field.- 16.3 The Zeros of a Prime Ideal.- 16.4 The Dimension.- 16.5 Hilbert’s Nullstellensatz. Resultant Systems for Homogeneous Equations.- 16.6 Primary Ideals.- 16.7 Noether’s Theorem.- 16.8 Reduction of Multidimensional Ideals to Zero-Dimensional Ideals.- 17 Integral Algebraic Elements.- 17.1 Finite R-Modules.- 17.2 Integral Elements over a Ring.- 17.3 The Integral Elements of a Field.- 17.4 Axiomatic Foundation of Classical Ideal Theory.- 17.5 Converse and Extension of Results.- 17.6 Fractional Ideals.- 17.7 Ideal Theory of Arbitrary Integrally Closed Integral Domains.- 18 Fields with Valuations.- 18.1 Valuations.- 18.2 Complete Extensions.- 18.3 Valuations of the Field of Rational Numbers.- 18.4 Valuation of Algebraic Extension Fields: Complete Case.- 18.5 Valuation of Algebraic Extension Fields: General Case.- 18.6 Valuations of Algebraic Number Fields.- 18.7 Valuations of a Field ?(x) of Rational Functions.- 18.8 The Approximation Theorem.- 19 Algebraic Functions of One Variable.- 19.1 Series Expansions in the Uniformizing Variable.- 19.2 Divisors and Multiples.- 19.3 The Genus g.- 19.4 Vectors and Covectors.- 19.5 Differentials. The Theorem on the Speciality Index.- 19.6 The Riemann-Roch Theorem.- 19.7 Separable Generation of Function Fields.- 19.8 Differentials and Integrals in the Classical Case.- 19.9 Proof of the Residue Theorem.- 20 Topological Algebra.- 20.1 The Concept of a Topological Space.- 20.2 Neighborhood Bases.- 20.3 Continuity. Limits.- 20.4 Separation and Countability Axioms.- 20.5 Topological Groups.- 20.6 Neighborhoods of the Identity.- 20.7 Subgroups and Factor Groups.- 20.8 T-Rings and Skew T-Fields.- 20.9 Group Completion by Means of Fundamental Sequences.- 20.10 Filters.- 20.11 Group Completion by Means of Cauchy Filters.- 20.12 Topological Vector Spaces.- 20.13 Ring Completion.- 20.14 Completion of Skew Fields.