Wax ka baro dhammaan xisaabta, si loo hubiyo.

Ka tirinta dhibaatooyinka furan. Dooro meesha aad ku sugan tahay; waxbarasho kasta oo muujinaysa tallaabooyinka, sawirka, iyo qarin jawaabta ilaa aad weydiiso.

1765 Waxbarasho · 51769 dhibaatooyinka tababarka · 28 xagal

Cilmi baarista Dhibaatooyinka furan, la jaray waxa aad u baahan tahay si ay u akhriyaan.

  1. 30 Frontiers 24 Waxbarasho

Ama keena dhibaatadaada

Tixraac, ama ku sameysid mouse ama fartaada. Equations, derivatives, matrices, triangles, primes - ama dhibaato erey ah oo tutor ka qaybaha ka qayb qaadataa.

Fur bogga xallinta oo dhan →

Waa maxay xisaab bilaash ah oo ku daray: buuggaaga shaqada

  • Qoraallada waxbarasho kasta, oo la kaydiyay markaad tixraacdo
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Waxbarashada kasta, tusaale u shaqeeyay iyo xalka sii furan oo aan xisaab.

Ku soo biir Ka eeg buuga shaqada

Maxaa kasta oo heerku ka mid ah

Mid kasta oo ka mid ah waa set of waxbarasho la nool oo shaqeeyey tusaale, muuqaal ah, iyo xalka u tuned u.

Dhamaadka 1 · school Arithmetic Numbers, fractions, percentages and the order of operations. Dhamaadka 2 · school Algebra Equations, inequalities, factoring, functions and systems. Dhamaadka 3 · school Geometry Triangles, circles, polygons, solids and coordinates. Dhamaadka 4 · school Trigonometry Angles, the unit circle, identities and trig equations. Dhamaadka 5 · school Precalculus Functions in depth, complex numbers, sequences, conics and vectors. Dhamaadka 6 · school Statistics & Probability Averages, spread, counting and probability. Dhamaadka 7 · school Discrete Math & Logic Counting, logic, truth tables, sets and proof. Dhamaadka 8 · college Calculus Limits, derivatives, integrals, series and optimisation. Dhamaadka 9 · college Linear Algebra Matrices, determinants, inverses, row reduction and eigenvalues. Dhamaadka 10 · college Number Theory Primes, divisibility, gcd, modular arithmetic and sequences. Dhamaadka 11 · college Differential Equations Equations whose unknown is a function: growth, oscillation, and how physics is written. Dhamaadka 12 · college Multivariable Calculus Partial derivatives, gradients, multiple integrals, vector fields. Dhamaadka 13 · college Real Analysis Limits made rigorous: sequences, series, convergence, improper integrals, complex numbers as functions. Dhamaadka 14 · college Combinatorics & Graph Theory Counting, generating functions, graphs, trees, colourings and networks. Dhamaadka 15 · college Set Theory & Logic Sets, relations, functions, cardinality, proof and the foundations of mathematics. Dhamaadka 16 · college Abstract Algebra Groups, rings, fields: symmetry made into structure. Dhamaadka 17 · college Probability Theory Random variables, distributions, expectation, limit theorems. Dhamaadka 18 · college Numerical Methods Root finding, approximation, numerical integration and error. Dhamaadka 19 · college Complex Analysis Holomorphic functions, contour integrals, residues, the rigidity of the complex plane. Dhamaadka 20 · graduate Topology Open sets, continuity, compactness, connectedness: geometry without distance. Dhamaadka 21 · graduate Measure Theory Lebesgue measure and integral, σ-algebras, convergence theorems. Dhamaadka 22 · graduate Functional Analysis Banach and Hilbert spaces, operators, spectral theory. Dhamaadka 23 · graduate Differential Geometry Curves, surfaces, curvature, manifolds: the language of general relativity. Dhamaadka 24 · graduate Algebraic Topology Fundamental groups, homology: counting holes with algebra. Dhamaadka 25 · graduate Category Theory Objects, arrows, functors, universal properties: mathematics about mathematics. Dhamaadka 26 · graduate Partial Differential Equations Heat, waves, potentials and transport: Fourier methods, energy estimates, Sobolev spaces and scaling. Dhamaadka 27 · graduate Fluid Dynamics Continuity, vorticity, the Euler and Navier-Stokes equations, and what is proved about them. Dhamaadka 30 · research Frontiers The open problems (Riemann, Navier-Stokes, P vs NP) broken into what you need to even read them.

Sida ay u shaqeyso

1

Ku qor ama ku tus

“ka soo baxa x² sin x”, “waa 561 Prime”, “Triangle 3 4 5” — ama iskutallaabta ku qoro kuleylka oo waa in aad akhrido.

2

Fiiri dhaqdhaqaaq kasta

Mid ka mid ah xeerka tallaabo kasta (xadka wax soo saarka, hawlgalka row, qaybinta Euclid) nool, iyo waxaa lagu sharaxay in eray.

3

Fiiri qaabka ah

Curvatures la aasaaska ay calaamadeeyay, daaqadaha aad ku wareegi kartaa, saddex geesoodka la daabacay si ay u scale, dhirta factor, matrices sida vectors in space.

4

Kuwa aan suurtogal ahayn sidoo kale

A dhibaato eray, caddayn, su'aal furan: macallinku wuxuu ka qaybqaadataa qaybaha aad weerari karto, wuxuu kuu sheegayaa waxa la yaqaan, oo wuxuu qarinayaa xalka ilaa aad rabto.