Mampianatra ny matematika rehetra, araka ny filaharana.

Manomboka amin'ny fanisana ka hatramin'ny olana misokatra. Misafidiana ny toerana misy anao; ny lesona tsirairay dia mampiseho ny dingana ataony, mamorona sary, ary manafina ny valinteny mandra-pahafantaranao.

1765 Fianarana · 51769 olana fanazarantena · 28 stages

Fikarohana Ny olana misokatra, nozaraina ho amin'izay ilainao hamaky azy.

  1. 30 Frontiers 24 Fianarana

Na mitondra ny olanao manokana

Soraty, na esory amin'ny alalan'ny totozy na ny rantsan-tànana. Famaha, fiovan'ny isa, matrisy, triangle, isa voalohany — na olana amin'ny teny iray izay azarazarain'ny mpampianatra.

Manokatra ny pejy feno →

Ny fanampian'ny kaonty maimaimpoana: ny raki-tsoratrao

  • Fanamarihana momba ny lesona tsirairay, voatahiry rehefa manoratra ianao
  • Fitantarana ny lesona vitanao, sy ny toerana ahafahanao maka azy
  • Ny olana rehetra ataonao dia voatahiry ao amin'ny toerana iray
  • Takela-pianarana iray amin'ny lesona tsirairay ho an'ny fanontaniana momba ilay pejy
  • Fandefasana sy famaly amin'ny takelaka kelin'ny toro-làlana

Ny lesona rehetra, ohatra napetraka sy ny vahaolana dia miverina misokatra tsy misy kaonty.

Misoratra anarana Jereo ilay boky asa

Ny ahitana ny dingana tsirairay

Ny tsirairay amin'ireo dia fitambarana lesona miaraka amin'ny ohatra miasa mivantana, sary, ary ny vahaolana namboarina ho azy.

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

Ahoana ny fomba fiasany

1

Soraty na esory

“derivative of x² sin x”, “is 561 prime”, “triangle 3 4 5” — na mametraka ny fifandanjana eo amin'ny takelaka ary vakiana ho anao.

2

Mijery ny hetsika rehetra

Ny fiteny hebreo dia fiteny iray izay mampiasa ny soratra hebreo (na ny soratra hebreo), ny fiteny hebreo (na ny fiteny hebreo), ary ny fiteny hebreo (na ny fiteny hebreo).

3

Jereo ny endrika

Ny toetra mampiavaka ny andriamby dia ny fiovan'ny haavony, ny fiovan'ny toetrany, ny fiovan'ny toetrany, ny fiovan'ny toetrany, ny fiovan'ny toetrany, ny fiovan'ny toetrany, ny fiovan'ny toetrany, ny fiovan'ny toetrany.

4

Ireo tsy azo atao ihany koa

Ny teny iray, ny porofo, ny fanontaniana misokatra: ny mpampianatra dia manapaka azy ho ampahany azonareo atao, milaza aminao izay fantatra, ary manafina ny vahaolana mandra-pahafantaranao azy.