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<p></p> <p><b>새 문서</b></p><div>[목차]<br /> * 상위항목 : [[수학]], [[수학 관련 정보]]<br /> <br /> == MSC 분류체계의 구조 ==<br /> MSC는 알파벳-숫자 혼용 조합으로서 3단계로 나타내어진다. 다음은 하나의 예시이다. 1단계는 두 자리의 자연수, 2단계는 알파벳, 3번째 단계는 또 하나의 두 자리의 자연수로 나타내어진다.<br /> <br /> * 53은 differential geometry(미분기하학)을 지칭한다.<br /> * 53A는 classical differential geometry를 지칭한다.<br /> * 53A45는 vector and tensor analysis를 지칭한다.<br /> <br /> ACM Computing Classification System과 많은 유사점을 가지기도 한다.<br /> === 1단계 ===<br /> 1단계는 00부터 99까지 숫자로 64개의 수학적 대분야에 고유의 두 자리수를 부여한다. 이중 특별사항으로는 00분류 기호를 가지는 General항목이 있다. 이 항목은 Recreational mathematics, Philosophy of mathematics, 수학[[교육학]], 다른 분야와의 융합적 요소, 등을 모두 총괄하고 있어서 다른 항목보다 많은 서적을 포함하며 물리학술지 등에도 등장하기도 한다. 1단계의 요목표는 아래 참고.<br /> ~~1단계 위의 하나의 분류단계가 더 있음으로, 총 4단계로 보는 경우들도 있다.~~<br /> <br /> === 2단계 ===<br /> <br /> === 3단계 ===<br /> <br /> == MSC 요목표 ==<br /> * 대분류; General/foundations<br /> * 00: General<br /> * 01: History and biography<br /> * 03: Mathematical logic([[논리학]]) and foundations, including model theory, computability theory, set theory([[집합론]]), proof theory, and algebraic logic<br /> <br /> * 대분류; Discrete mathematics([[이산수학]])/algebra([[대수학]])<br /> * 05: Combinatorics([[경우의 수]],[[확률]],등)<br /> * 06: Order theory<br /> * 08: General algebraic systems<br /> * 11: Number theory([[정수론]])<br /> * 12: Field theory and polynomials<br /> * 13: Commutative rings and algebras<br /> * 14: Algebraic geometry<br /> * 15: Linear and multilinear algebra([[선형대수학]],등); matrix([[행렬]]) theory<br /> * 16: Associative rings and associative algebras(가[[환]],등)<br /> * 17: Non-associative rings and non-associative algebras (비가[[환]],등)<br /> * 18: Category theory; homological algebra<br /> * 19: K-theory<br /> * 20: Group theory([[군론]]) and generalizations<br /> * 22: Topological groups, Lie groups, and analysis upon them<br /> <br /> * 대분류; Analysis([[해석학]])<br /> * 26: Real functions, including derivatives and integrals<br /> * 28: Measure and integration<br /> * 30: Complex functions, including approximation theory in the complex domain<br /> * 31: Potential theory<br /> * 32: Several complex variables and analytic spaces<br /> * 33: Special functions<br /> * 34: Ordinary differential equations([[미분방정식]])<br /> * 35: Partial differential equations(편미분방정식)<br /> * 37: Dynamical systems and ergodic theory<br /> * 39: Difference equations and functional equations<br /> * 40: Sequences, series([[수열]]), summability<br /> * 41: Approximations and expansions<br /> * 42: Harmonic analysis, including Fourier analysis, Fourier transforms, trigonometric approximation, trigonometric interpolation, and orthogonal functions<br /> * 43: Abstract harmonic analysis<br /> * 44: Integral transforms, operational calculus<br /> * 45: Integral equations<br /> * 46: Functional analysis, including infinite-dimensional holomorphy, integral transforms in distribution spaces<br /> * 47: Operator theory<br /> * 49: Calculus of variations and optimal control; optimization (including geometric integration theory)<br /> <br /> * 대분류; Geometry([[기하학]]) and topology([[위상수학]])<br /> * 51: Geometry([[기하학]])<br /> * 52: Convex geometry and discrete geometry<br /> * 53: Differential geometry<br /> * 54: General topology<br /> * 55: Algebraic topology<br /> * 57: Manifolds<br /> * 58: Global analysis, analysis on manifolds (including infinite-dimensional holomorphy)<br /> <br /> * 대분류; Applied mathematics / other<br /> * 65 Numerical analysis([[수치해석]])<br /> * 68 Computer science<br /> * 70 Mechanics (including particle mechanics)<br /> * 74 Mechanics of deformable solids<br /> * 76 Fluid mechanics([[유체역학]])<br /> * 78 Optics([[광학]]), electromagnetic theory([[전자기학]])<br /> * 80 Classical thermodynamics([[열역학]]), heat transfer<br /> * 81 Quantum theory<br /> * 82 Statistical mechanics, structure of matter<br /> * 83 Relativity and gravitational theory, including relativistic mechanics<br /> * 85 Astronomy([[천문학]]) and astrophysics<br /> * 86 Geophysics<br /> * 90 Operations research, mathematical programming<br /> * 91 Game theory, economics([[경제학]]), social and behavioral sciences<br /> * 92 Biology([[생명과학]]) and other natural sciences([[자연과학]])<br /> * 93 Systems theory; control, including optimal control<br /> * 94 Information([[정보]]) and communication, circuits<br /> * 97 Mathematics education(수학[[교육학]])</div>

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