Classification Fields

The books in the MathBib are shelved according to the subject classification as stated below. The list is sorted by shelf number with the corresponding classification term.

Main fields are denominated with capital letters, sub fields with added digits. Works that belong in a specific main field, but not in any sub field, are found under the digit 0.

This list is also available as pdf (German, 32 KB).

A B C D E F G H J K L M N R S U V W X Y Z

A Logic and Fundamentals

A 0 Logic and fundamentals, general
A 1 Textbooks on logic
A 2 Set theory
A 3 Lattices, Boolean algebra
A 4 Combinatorics, graph theory
A 5 Theory of computability and complexity

B Algebra

B 0 Algebra, general
B 1 Textbooks on algebra, Galois theory
B 2 Groups
B 3 Rings, algebraic
B 4 Linear algebra
B 5 Matrices and determinants
B 6 Categories and functors, homological algebra
B 7 Algebraic geometry, algebraic functions

C Number Theory

C 0 Number theory, general
C 1 Textbooks on number theory, elementary number theory
C 2 Algebraic number theory
C 3 Analytic number theory, prime numbers
C 4 Geometry of numbers, diophantine approximations
C 5 Irrational and transcendental numbers, continued fractions

D Spaces and Manifolds

D 0 Spaces and manifolds, general
D 1 Point-set topology
D 2 Algebraic topology
D 3 Differentiable manifolds
D 4 Global analysis
D 5 Lie groups
D 6 Riemannian manifolds, projective connections and other connections

E Geometry

E 0 Geometry, general
E 1 Elementargeometrie, axiomatic geometry
E 2 Descriptive geometry
E 3 Analytic geometry
E 4 Projective geometry
E 5 Differential geometry
E 6 Spezielle Fragen der Kurven- und Flächengeometrie

F Analysis I

F 0 Analysis I, general
F 1 Fundamentals of analysis
F 2 Calculus, vector analysis
F 3 Analysis for natural scientists and engineers
F 4 Sequences and series
F 5 Real functions
F 6 Measure and integral 

G Analysis II

G 0 Analysis II, general
G 1 Fourier series and other orthogonal series
G 2 Fourier transform
G 3 Laplace transform
G 4 Special functions
G 5 Approximation theory, asymptotic analysis

H Applied Analysis

H 0 Applied analysis, general
H 1 Methods of mathmatical physics
H 2 Ordinary differential equations
H 3 Non-linear differential equation, dynamical systems
H 4 Integral equations
H 5 Calculus of variations
H 6 Ptential theory
H 7 Partial differential equations
H 8 Systems theory and control theory

J Complex Analysis

J 0 Complex analysis, general
J 1 Textbooks on complex analysis
J 2 Complex analysis in multiple variables
J 3 Conformal maps and quasiconformal mapping
J 4 Riemann surfaces
J 5 Entire and meromorphic functions
J 6 Algebraic functions
J 7 Elliptic functions, modular forms, automorphic functions

K Higher Analysis

K 0 Higher analysis, general
K 1 Functional analysis
K 2 Topological vector spaces
K 3 Topological rings und algebra, functional analysis
K 4 Distributions
K 5 Abstract harmonic analysis, topological groups, almost periodic functions

L Probability theory and applications

L 0 Probability theory and applications, general
L 1 Probability theory
L 2 Stochastic processes
L 3 Markov processes
L 4 Ergodic theory, information theory, coding theory
L 5 Statistics
L 6 OR, game theory, mathematical economy, models
L 7 Actuarial mathematics
L 8 Stochastic calculus
L 9 Mathematical finance

M Numerical Methods

M 0 Numerical methods, general
M 1 Numerical methods
M 2 Numerical methods in linear algebra
M 3 Numerical methods for ordinary differential equations
M 4 Numerical methods for partial differential equations
M 5 Finite elements
M 6 Numerical approximation, Spline functions
M 7 Mathematical tables
M 8 Computer programming, computer science

N Physics, Chemistry, Biology

N 0 Physics, Chemistry, Biology, general
N 1 Textbooks on theoretical physics
N 2 Mechanics, general
N 3 Celestial Mechanics
N 4 Mechanics of Continua
N 5 Thermodynamics, statistical physics
N 6 Electrodynamics and optics
N 7 Quantum theory, theory of relativity
N 8 Chemistry
N 9 Biology

R Reference Journals

R 3 Mathematical Reviews
R 4 Subject index for Mathematical Reviews
R 5 Omega bibliography

S Series

U Educational Books

U 0 Educational books, general
U 1 Multivolume educational books
U 2 School books on algebra
U 3 School books on analysis
U 4 School books on geometry
U 5 School books on stochastics
U 6 Applications of mathematics

V Didactics of Mathematics

V 1 Subject didactics
V 2 Exercise collections

W Series on Elementary Mathematics

W 1 Programm: moderne Mathematik
W 2 Schriftenreihe zur Mathematik
W 3 Studienbücher Mathematik
W 4 New mathematical library
W 5 Mathematical studies
W 6 Mathematik für Ingenieure, Naturwissenschaftler, Oekonomen und Landwirte
W 7 Mathematische Arbeitshefte
W 8 Einzelschriften zur Gestaltung des mathematisch-physikalischen Unterrichtes
W 9 Teubner Studienbücher. Mathematik
W 10 Mathematik für die Lehrerausbildung
W 11 The school mathematics project
W 12 Beiträge für den mathematischen Unterricht
W 13 Heidelberger Taschenbücher. Selecta Mathematica
W 14 Moderne Mathematik in elementarer Darstellung
W 15 BI Hochschultaschenbücher
W 16 Klett Studienbücher Mathematik
W 17 Ergänzungsreihe zu den Hochschulbüchern für Mathematik
W 18 Beihefte zur Zeitschrift "Elemente der Mathematik"

X History, Philosophy and Popular Mathematics

X 0 History, philosophy and popular mathematics, general
X 1 History of mathematics
X 2 Philosophy and psychology of mathematics
X 5 Popular mathematics, mathematical enterainment

Y Collected Works, Congress Proceedings, Encyclopedias

Y 0 Collected works, congress proceedings, encyclopedias, general
Y 1 Collected works (in alphabetical order)
Y 2 Ostwald classics
Y 3 Congress publications
Y 4 Compilations
Y 5 Bourbaki
Y 6 Dictionaries
Y 7 Encyclopaedias
Y 8 Dissertations

Z Journals