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Bu ders do臒rusal cebir ikili dizinin birincisidir. Do臒rusal uzaylar kavram谋, do臒rusal i艧lemciler, matris g枚sterimleri ve denklem sistemlerinin hesaplanabilmesi i莽in temel ara莽lar vb. konular谋 i莽ermektedir. Ders ger莽ek ya艧amdan gelen uygulamalar谋 da tan谋tmaya 枚nem veren 鈥渋莽erikli yakla艧谋mla鈥� tasarlanm谋艧t谋r.

B枚l眉mler: B枚l眉m 1: Do臒rusal Cebirin Matematikdeki Yeri ve Kapsam谋 B枚l眉m 2: D眉zlemdeki Vekt枚rlerin 脰臒rettikleri B枚l眉m 3: 陌ki Bilinmeyenli Denklemlerin 脰臒rettikleri B枚l眉m 4: Do臒rusal Uzaylar B枚l眉m 5: Fonksiyon Uzaylar谋 ve Fourier Serileri B枚l眉m 6: Do臒rusal 陌艧lemciler ve D枚n眉艧眉mler B枚l眉m 7: Do臒rusal 陌艧lemcilerden Matrislere Ge莽i艧 B枚l眉m 8: Matris 陌艧lemleri ----------- This is the first of the sequence of two courses. It develops the fundamental concepts in linear spaces, linear operators, matrix representations and basic tools for calculations with systems of equations. The course is designed with a 鈥渃ontent based鈥� emphasis, answering the 鈥渨hy鈥� and 鈥渨here鈥� of the topics, as much as the traditional 鈥渨hat鈥� and 鈥渉ow鈥� leading to 鈥渄efinitions鈥� and 鈥減roofs鈥�. Chapters: Chapter 1: Place and Contents of Linear Algebra Cebirin Chapter 2: Learning From Vectors in the Plane Chapter 3: Learning From Equations For Two Unknowns Chapter 4: Linear Spaces Chapter 5: Function Spaces and Fourier Series Chapter 6: Linear Operators and Transformations Chapter 7: From Linear Operators to Matrices Chapter 8: Matrix Operations ----------- Kaynak: Attila A艧kar, 鈥淒o臒rusal cebir鈥�. Bu kitap d枚rt ciltlik dizinin 眉莽眉nc眉 cildidir. Dizinin di臒er kitaplar谋 Cilt 1 鈥淭ek de臒i艧kenli fonksiyonlarda t眉rev ve entegral鈥�, Cilt 2: "脟ok de臒i艧kenli fonksiyonlarda t眉rev ve entegral" ve Cilt 4: 鈥淒iferansiyel denklemler鈥� dir. Source: Attila A艧kar, Linear Algebra, Volume 3 of the set of Vol1: Calculus of Single Variable Functions, Volume 2: Calculus of Multivariable Functions and Volume 4: Differential Equations.