【AMS MathSciNet 助力科研 第二期】——深入了解MSC分类体系
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MSC的全称是 Mathematics Subject Classication ,是美国数学会(American Mathematical Society,AMS)编制的针对数学文献的分类法。AMS MathSciNet 及Zbl MATH都采用MSC分类体系。
MSC分类法根据数学学科的发展每隔10年左右作一次修订,现存的版本有1980年版、1991年版、2000年版、2010年版,最新的版本是2010年版。MSC分类法修订工作是在AMS的协助下,由MR和Zbl MATH的编辑们完成的。目前MSC2020版正在修订阶段,如果您对MSC的分类体系需反馈,可访问msc2020.org提交反馈意见,该网站也可以查看同行提交的反馈信息。
MSC的分类号由五位字符构成,前两位为数字(一级分类),第三位是字母或”—”(二级分类),后两位为数字(三级分类),MSC基本涵盖了与数学有交叉的物理、化学、生物、计算机及其他自然科学、社会科学等各个方向。
为方便读者使用MSC分类,AMS免费提供MSC在线版,读者可以浏览、检索全部MSC分类体系。在MathSciNet首页(www.ams.org/mathscinet)点击右上角的免费工具箱/freetools即可进入MSC在线版:
如何检索MSC在线版?
以通信领域中的循环码(Cyclic codes)为例,MSC在线版支持模糊匹配,为提高检全率,采用” Cyc* code* “作为检索词,检索结果如下:
Cyclic codes的分类号为94B15,在分类号的后面有年份起止时间(1980-now),1980为该分类号的生效时间,now表示该分类号现在还在有效期。
点击94B,可查看Cyclic codes 的同级分类(三级分类):
点击94,可查看Information and communication, circuits的同级分类(二级分类):
点击页面右上方的免费工具箱/freetools 可查看全部一级分类
详细的分类表介绍见下表
一级分类 |
一级分类名称 |
备注 |
00 |
General |
|
01 |
History and biography |
|
02 |
Logic and foundations |
2010版已停用 |
03 |
Mathematical logic and foundations |
|
04 |
Set theory |
2010版已停用 |
05 |
Combinatorics |
|
06 |
Order,lattices,ordered algebraic structures |
|
08 |
General algebraic systems |
|
09 |
Classical algebra |
2010版已停用 |
10 |
Number Theory |
2010版已停用 |
11 |
Number theory |
|
12 |
Field theory and polynomials |
|
13 |
Commutative rings and algebras |
|
14 |
Algebraic geometry |
|
15 |
Linear and multilinear algebra,matrix theory |
|
16 |
Associative rings and algebras |
|
17 |
Nonassociative rings and algebras |
|
18 |
Category theory,homological algebra |
|
19 |
K-theory |
|
20 |
Group theory and generalizations |
|
21 |
Topological algebraic structures |
2010版已停用 |
22 |
Topological groups,Lie groups |
|
26 |
Real functions |
|
27 |
Analysis |
2010版已停用 |
28 |
Measure and integration |
|
30 |
Functions of a complex variable |
|
31 |
Potential theory |
|
32 |
Several complex variables and analytic spaces |
|
33 |
Special Functions |
|
34 |
Ordinary differential equations |
|
35 |
Partial differential equations |
|
36 |
Differential equations,operational calculus |
|
37 |
Dynamical systems and ergodic theory |
|
39 |
Finite differences and functional equations |
|
40 |
Sequences,series,summability |
|
41 |
Approximations and expansions |
|
42 |
Fourier analysis |
|
43 |
Abstract harmonic analysis |
|
44 |
Integral transforms,operational calculus |
|
45 |
Integral equations |
|
46 |
Functional analysis |
|
47 |
Operator theory |
|
48 |
Geometry |
2010版已停用 |
49 |
Calculus of variations and optimal control |
|
50 |
Geometry |
2010版已停用 |
51 |
Geometry |
|
52 |
Convex and discrete geometry |
|
53 |
Differential geometry |
|
54 |
General topology |
|
55 |
Algebraic topology |
|
56 |
Topology |
2010版已停用 |
57 |
Manifolds and cell complexes |
|
58 |
Global analysis,analysis on manifolds |
|
60 |
Probability theory and stochastic processes |
|
62 |
Statistics |
|
65 |
Numerical analysis |
|
68 |
Computer science |
|
69 |
General applied mathematics |
2010版已停用 |
70 |
Mechanics of particles and systems |
|
71 |
Mechanics |
2010版已停用 |
73 |
Mechanics of solids |
2010版已停用 |
74 |
Mechanics of deformable solids |
|
76 |
Fluid mechanics |
|
78 |
Optics,electromagnetic theory |
|
79 |
Mathematical physics,physical applications |
|
80 |
Classical thermodynamics,heat transfer |
|
81 |
Quantum theory |
|
82 |
Statistical mechanics,structure of matter |
|
83 |
Relativity and gravitational theory |
|
84 |
Relativity,astronomy |
2010版已停用 |
85 |
Astronomy and astrophysics |
|
86 |
Geophysics |
|
90 |
Operations research,mathematical programming |
|
91 |
Game theory,economics,social and behavioral sciences |
|
92 |
Biology and other natural sciences,behavioral sciences |
|
93 |
Systems theory,control |
|
94 |
Information and communication,circuits |
|
97 |
Mathematics education |