This is a browse interface to the union catalogue
of the Common Library Network GBV
based on the MSC 2000 classification. You can browse down to the individual notation, the links available will direct you to the appropriate place in the GBV OPAC, which uses a notation related to, but different from MSC. Note: Not all books available are contained in the online catalogue. Please use the Goettingen State University Library's Alphabetical Catalogue to search for monographs, dissertations and journals missing in the OPAC. |

Open all categories
| Close all categories

Open all categories | Close all categories

**►****Foundations****▼****Algebra****▼****11-XX Number theory****►****11-00 General reference works (handbooks, dictionaries, bibliographies, etc.)****►****11Axx Elementary number theory****▼****11Bxx Sequences and sets**- 11B05 Density, gaps, topology
- 11B13 Additive bases
- 11B25 Arithmetic progressions
- 11B34 Representation functions
- 11B37 Recurrences
- 11B39 Fibonacci and Lucas numbers and polynomials and generalizations
- 11B50 Sequences (mod
*m*) - 11B57 Farey sequences; the sequences
*1*,^{k}*2*, …}^{k} - 11B65 Binomial coefficients; factorials;
*q*-identities - 11B68 Bernoulli and Euler numbers and polynomials
- 11B73 Bell and Stirling numbers
- 11B75 Other combinatorial number theory
- 11B83 Special sequences and polynomials
- 11B85 Automata sequences
- 11B99 None of the above, but in this section

**►****11Cxx Polynomials and matrices****►****11Dxx Diophantine equations****▼****11Exx Forms and linear algebraic groups**- 11E04 Quadratic forms over general fields
- 11E08 Quadratic forms over local rings and fields
- 11E10 Forms over real fields
- 11E12 Quadratic forms over global rings and fields
- 11E16 General binary quadratic forms
- 11E20 General ternary and quaternary quadratic forms; forms of more than two variables
- 11E25 Sums of squares and representations by other particular quadratic forms
- 11E39 Bilinear and Hermitian forms
- 11E41 Class numbers of quadratic and Hermitian forms
- 11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
- 11E57 Classical groups
- 11E70
*K*-theory of quadratic and Hermitian forms - 11E72 Galois cohomology of linear algebraic groups
- 11E76 Forms of degree higher than two
- 11E81 Algebraic theory of quadratic forms; Witt groups and rings
- 11E88 Quadratic spaces; Clifford algebras
- 11E95
*p*-adic theory - 11E99 None of the above, but in this section

**►****11Fxx Discontinuous groups and automorphic forms****►****11Gxx Arithmetic algebraic geometry (Diophantine geometry)****►****11Hxx Geometry of numbers****►****11Jxx Diophantine approximation, transcendental number theory****▼****11Kxx Probabilistic theory: distribution modulo***1*; metric theory of algorithms- 11K06 General theory of distribution modulo
*1* - 11K16 Normal numbers, radix expansions, etc.
- 11K31 Special sequences
- 11K36 Well-distributed sequences and other variations
- 11K38 Irregularities of distribution, discrepancy
- 11K41 Continuous,
*p*-adic and abstract analogues - 11K45 Pseudo-random numbers; Monte Carlo methods
- 11K50 Metric theory of continued fractions
- 11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension
- 11K60 Diophantine approximation
- 11K65 Arithmetic functions
- 11K70 Harmonic analysis and almost periodicity
- 11K99 None of the above, but in this section

- 11K06 General theory of distribution modulo
**►****11Lxx Exponential sums and character sums****►****11Mxx Zeta and***L*-functions: analytic theory**►****11Nxx Multiplicative number theory****▼****11Pxx Additive number theory; partitions**- 11P05 Waring's problem and variants
- 11P21 Lattice points in specified regions
- 11P32 Goldbach-type theorems; other additive questions involving primes
- 11P55 Applications of the Hardy-Littlewood method
- 11P70 Inverse problems of additive number theory
- 11P81 Elementary theory of partitions
- 11P82 Analytic theory of partitions
- 11P83 Partitions; congruences and congruential restrictions
- 11P99 None of the above, but in this section

**►****11Rxx Algebraic number theory: global fields****►****11Sxx Algebraic number theory: local and***p*-adic fields**►****11Txx Finite fields and commutative rings (number-theoretic aspects)****▼****11Uxx Connections with logic****►****11Yxx Computational number theory**- 11Zxx Miscellaneous applications of number theory

**►****12-XX Field theory and polynomials****►****13-XX Commutative rings and algebras****►****14-XX Algebraic geometry****►****15-XX Linear and multilinear algebra; matrix theory****►****16-XX Associative rings and algebras****►****17-XX Nonassociative rings and algebras****▼****18-XX Category theory; homological algebra****►****18-00 General reference works (handbooks, dictionaries, bibliographies, etc.)****►****18Axx General theory of categories and functors****►****18Bxx Special categories****►****18Cxx Categories and theories****▼****18Dxx Categories with structure**- 18D05 Double categories,
*2*-categories, bicategories and generalizations - 18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
- 18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
- 18D20 Enriched categories (over closed or monoidal categories)
- 18D25 Strong functors, strong adjunctions
- 18D30 Fibered categories
- 18D35 Structured objects in a category (group objects, etc.)
- 18D50 Operads
- 18D99 None of the above, but in this section

- 18D05 Double categories,
**►****18Exx Abelian categories****►****18Fxx Categories and geometry****▼****18Gxx Homological algebra**- 18G05 Projectives and injectives
- 18G10 Resolutions; derived functors
- 18G15 Ext and Tor, generalizations, Künneth formula
- 18G20 Homological dimension
- 18G25 Relative homological algebra, projective classes
- 18G30 Simplicial sets, simplicial objects (in a category)
- 18G35 Chain complexes
- 18G40 Spectral sequences, hypercohomology
- 18G50 Nonabelian homological algebra
- 18G55 Homotopical algebra
- 18G60 Other (co)homology theories
- 18G99 None of the above, but in this section

**►****19-XX***K*-theory**▼****20-XX Group theory and generalizations****►****20-00 General reference works (handbooks, dictionaries, bibliographies, etc.)****►****20Axx Foundations****►****20Bxx Permutation groups****►****20Cxx Representation theory of groups****►****20Dxx Abstract finite groups****►****20Exx Structure and classification of infinite or finite groups****►****20Fxx Special aspects of infinite or finite groups****►****20Gxx Linear algebraic groups (classical groups)****►****20Hxx Other groups of matrices****►****20Jxx Connections with homological algebra and category theory****►****20Kxx Abelian groups**- 20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
**▼****20Mxx Semigroups**- 20M05 Free semigroups, generators and relations, word problems
- 20M07 Varieties of semigroups
- 20M10 General structure theory
- 20M11 Radical theory
- 20M12 Ideal theory
- 20M14 Commutative semigroups
- 20M15 Mappings of semigroups
- 20M17 Regular semigroups
- 20M18 Inverse semigroups
- 20M19 Orthodox semigroups
- 20M20 Semigroups of transformations, etc.
- 20M25 Semigroup rings, multiplicative semigroups of rings
- 20M30 Representation of semigroups; actions of semigroups on sets
- 20M35 Semigroups in automata theory, linguistics, etc.
- 20M50 Connections of semigroups with homological algebra and category theory
- 20M99 None of the above, but in this section

**►****20Nxx Other generalizations of groups**- 20P05 Probabilistic methods in group theory

**►****Analysis****►****Differential Equations****►****Transformations****►****Geometry****►****Statistics****►****Applied Mathematics****►****Didactics**

Open all categories | Close all categories

ViFaMath |MathGuide |Subject |Source Type |Basic Search

© 1997-2012 MathGuide, SUB Göttingen URL: http://www.MathGuide.de/