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Ring sebagai struktur aljabar yang melibatkan satu himpunan dan dua operasi merupakan abstraksi dari sifat-sifat sistem bilangan bulat beserta operasi penjumlahan dan pergandaan bilangan-bilangan telah menjadi alat pengembangan konsep keprimaan, ketaktereduksian, invertibilitas, dan konsep hasil bagi serta sisa pembagian, khususnya pada ring suku banyak. Teori ring memiliki aplikasi dalam teori…
Sebagai salah satu cabang matematika, aljabar linier banyak dipakai di berbagai bidang lainnya, baik teori maupun terapannya. Secara umum, mahasiswa matematika, statistika, ilmu computer, dan teknik di hamper semua perguruan tinggi wajib mengetahui dan menguasai aljabar linier.
"Where are we ever going to use this?" Every high school math student has asked this question. Often teachers themselves aren't sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teache…
Visual Math has been designed to allow learners to "see" why math makes sense. By combining logical math concepts with pictures, previously unclear images will fade and math will suddenly click for you. Pictures, graphs, and diagrams help you understand math questions in the areas of number concepts and properties, fractions and decimals, ratios and proportions, percents, algebra, geometry, and…
Buku ini membahas tentang : . Matriks . Vektor pada Bidang dan Ruang . Eliminasi Gauss . Invers Matriks . Determinan . Ruang Vektor . Ruang Hasil-kali Dalam . Nilai dan Vektor Eigen . Transformasi Linear
Buku ini terbagi dalam 12 bab: Bab 1 : The real numbers Bab 2 : Linear equations and inequalities in one variable Bab 3 : Graphs and functions in the cartesian coordinate system Bab 4 : Systems of linear equations Bab 5 : Expnents and polynomials Bab 6 : Rational Expressions Bab 7 : Ratioanal exponents and radicals Bab 8 : Quadratic Equations and inequalities Bab 9 : Additional functio…
Struktur aljabar merupakan salah satu cabang matematika abstrak, yang umumnya akan lebih sulit dibandingkan dengan cabang lain yang lebih konkret. di dalam buku ini akan membicarakan tentang: 1. operasi pada himpunan 2. semigrup dan monoid 3. dasar - dasar group 4. grup siklik, grup permutasi, homomorfisma grup 5. grup faktor 6. ring (gelanggang) 7. subring dan ideal 8. ring faktor dan…