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Daftar hal-hal yang dinamai dari Leonhard Euler

Leonhard Euler (1707–1783)

Dalam matematika dan fisika, ada sejumlah besar topik yang dinamai untuk menghormati matematikawan Swiss Leonhard Euler (1707–1783), yang membuat banyak penemuan penting dan inovasi. Banyak hal yang menggunakan nama Euler meliputi fungsi, persamaan, rumus, identitas, bilangan (tunggal atau barisan), atau entitas matematika lainnya yang unik. Banyak entitas tersebut telah diberi nama-nama sederhana dan ambigu seperti fungsi Euler, persamaan Euler, dan rumus Euler yang sebenarnya masing-masing berjumlah banyak.

Karya-karya Euler menyentuh begitu banyak bidang sehingga sering kali ia merupakan penulis paling awal pada bidang-bidang tersebut. Dalam upaya untuk menghindari penamaan semuanya menurut Euler, beberapa penemuan dan teorema-teorema yang dikaitkan dengan orang pertama yang telah membuktikannya setelah Euler.[1][2]

Konjektur Euler

Konjektur Euler dapat mengacu kepada:

Persamaan

Biasanya, persamaan Euler mengacu pada salah satu (atau kumpulan) persamaan diferensial sudah menjadi kebiasaan untuk mengelompokkan persamaan-persamaannya ke dalam persamaan diferensial biasa dan persamaan diferensial parsial. Jika tidak, persamaan Euler dapat merujuk ke persamaan non-diferensial, seperti dalam kasus berikut:

Persamaan diferensial biasa

Persamaan diferensial parsial

Persamaan diferensial parsial Euler dapat mengacu kepada:

Rumus

Fungsi

Identitas

Bilangan

Teorema

Hukum

Hal-hal lain yang dinamai Euler

Topik menurut bidang studi

Berikut adalah topik yang dikelompokkan berdasarkan subjek di atas.

Analisis: turunan, integral, dan logaritma

Geometri dan penataan ruang

Teori grafik

Musik

Nomor teori

Sistem fisika

Polinomial

Lihat pula

Referensi

  1. ^ David S. Richeson (2008), Euler's Gem: The Polyhedron Formula and the Birth of Topology (edisi ke-illustrated), Princeton University Press, hlm. 86, ISBN 978-0-691-12677-7 
  2. ^ C. H. Edwards; David E. Penney (2004), Differential equations and boundary value problems :, 清华大学出版社, hlm. 443, ISBN 978-7-302-09978-9 
  3. ^ Félix de Rochegude (1910), Promenades dans toutes les rues de Paris. VIIIe arrondissement, Hachette, hlm. 98 
  4. ^ Evans, Charles R.; Smarr, Larry L.; Wilson, James R. (1986). "Numerical Relativistic Gravitational Collapse with Spatial Time Slices". Astrophysical Radiation Hydrodynamics. 188. hlm. 491–529. doi:10.1007/978-94-009-4754-2_15. Diakses tanggal March 27, 2021. 
  5. ^ Schoenberg (1973). "bibliography" (PDF). University of Wisconsin. Diarsipkan dari versi asli (PDF) tanggal 2011-05-22. Diakses tanggal 2007-10-28. 
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