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Tag: bilangan real

Pada Awalnya adalah Himpunan Kosong

Berbicara tentang himpunan dalam matematika, kita mengenal himpunan kosong, yang tidak mempunyai satupun anggota. Himpunan kosong biasa dilambangkan dengan atau … More

bilangan asli, bilangan real, himpunan, himpunan bagian, himpunan kosong

Sifat Kelengkapan Bilangan Real

Sistem bilangan rasional dengan operasi penjumlahan dan perkalian padanya merupakan suatu lapangan, yang memenuhi sifat komutatif dan asosiatif terhadap penjumlahan … More

bilangan rasional, bilangan real, Dedekind cuts, garis bilangan real, hukum trikotomi, lapangan, sistem bilangan real

Bilangan Real

Apakah bilangan real itu real (nyata)? Dalam artikel “Tuhan Menciptakan Bilangan Bulat”, saya pernah mengutarakan bahwa bilangan real bukan sesuatu … More

barisan bilangan rasional, barisan Cauchy, bilangan desimal, bilangan irasional, bilangan nol, bilangan pecahan, bilangan rasional, bilangan real, pecahan berlanjut

Bilangan Desimal

Seperti halnya bilangan nol, banyak bilangan lainnya yang mempunyai dua makna atau dua ‘representasi’ yang berbeda. Hal ini terjadi juga … More

bilangan desimal, bilangan real, representasi desimal, sistem desimal

Tuhan Menciptakan Bilangan Bulat

Matematikawan kadang membawa-bawa nama Tuhan juga. “God created the integers”, kata Leopold Kronecker (1823-1891). “All else is the work of … More

bilangan bulat, bilangan irasional, bilangan rasional, bilangan real, finitist, Georg Cantor, God created the integers, Leopold Kronecker, Richard Dedekind

Fungsi Faktorial dan Fungsi Gamma

Anda tentunya mengenal notasi n! (baca: n faktorial), yang merupakan singkatan dari bentuk perkalian n(n – 1)(n – 2) ∙∙∙ … More

bilangan kompleks, bilangan real, fungsi faktorial, fungsi gamma, fungsi gauss, fungsi kontinu, integral, integral tak wajar, pengintegralan parsial

Ketakterhinggaan Himpunan Bilangan Real

Ada berapa banyak bilangan asli? Tak terhingga. Ada berapa banyak bilangan rasional? Tak terhingga juga. Mana yang lebih banyak: bilangan … More

bilangan asli, bilangan rasional, bilangan real, Georg Cantor, himpunan tak terhingga, kardinalitas himpunan, ketakterhinggaan, korespondensi satu-ke-satu, metode diagonalisasi Cantor

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