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Pengantar Teori Bilangan
Buku pengantar teori bilangan merupakan buku yang berisi materi perkuliahan untuk mahasiswa S1 Matematika yang mempelajari materi keterbagian, keprimaan, kekongruenan, aplikasi kekongruenan, dan beberapa teorema kekongruenan khusus dan penerapannya. Materi teori bilangan memiliki peranan penting dalam sistem kriptografi. Materi ini dapat digunakan sebagai dasar bagi mahasiswa yang ingin memperdalam pengetahuannya dalam bidang aljabar. Meskipun sejumlah teorema luar biasa yang berkaitan dengan teori bilangan telah terbukti, yang lebih menakjubkan lagi adalah teorema yang masih belum terbukti. Banyak dugaan atau konjektur yang belum dapat dibuktikan. Pendekatan materi yang disajikan menggunaka...
Aljabar Linier
Materi dalam buku Aljabar Linear merupakan materi perkuliahan untuk mahasiswa S1 Matematika yang membutuhkan pemahaman lanjut dari materi aljabar linear elementer. Aplikasi aljabar linear sangat banyak di bidang komputasi, fisika, statistik, dan persamaan diferensial. Buku ini membahas materi-materi dan contoh soal yang dapat digunakan sebagai bahan ajar Mata Kuliah Aljabar Linear. Materi yang dibahas meliputi empat bab. Bab 1 Ruang vektor membahas ruang vektor, subruang, himpunan bebas linear dan bergantung linear, himpunan pembangun, basis dan dimensi. Bab 2 Transformasi Linear membahas materi transformasi linear, matriks representasi dari transformasi linear, komposisi dari transformasi linear, invers dan isomorfisma dari suatu transformasi linear. Bab 3 Diagonalisasi membahas vektor eigen dan nilai eigen dan pendiagonalan matriks. Bab 4 Ruang Hasil Kali Dalam membahas ruang vektor yang dikenakan suatu hasil kali dalam (inner product), norm suatu vektor, proses orthogonalisasi Gram-Schmidt, dan adjoin operator linear.
The Instructional Design Knowledge Base
The Instructional Design Knowledge Base: Theory, Research and Practice provides ID professionals and students at all levels with a comprehensive exploration of the theories and research that serve as a foundation for current and emerging ID practice. This book offers both current and classic interpretations of theory from a range of disciplines and approaches. It encompasses general systems, communication, learning, early instructional, media, conditions-based, constructivist design and performance-improvement theories. Features include: rich representations of the ID literature concise theory summaries specific examples of how theory is applied to practice recommendations for future research a glossary of related terms a comprehensive list of references. A perfect resource for instructional design and technology doctoral, masters and educational specialist certificate programs, The Instructional Design Knowledge Base provides students and scholars with a comprehensive background for ID practice and a foundation for future ID thinking.
The Acquisition of WH-Questions
This special issue spans the domain of inquiry concerning the acquisition of wh-questions. Wh-questions have become a central interest for theorists of language acquisition because they exemplify some of the most significant principles of grammar. Most important, they involve movement rules; hence, their acquisition introduces issues such as: * When are long-distance rules acquired? * When are barriers to movement operative? * How do empty categories emerge? As these articles demonstrate, questions can provide a window into phrase structure as well as the principles of children's grammar. In the past several years, the growing body of research on questions has multiplied the perspectives, th...
