Digital library Ha Noi university of science and technology122
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Digital library Ha Noi university of science and technology122
Digital library Ha Noi university of science and technology122
https:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGR Digital library Ha Noi university of science and technology122 RAMLecture onALGEBRAAssoc. Prof. Dr. Nguyen Tliieu HuyHanoi 2008Nguyen Thieu Huy, Lecture OU AlgebraPrefaceThis Lecture on Algebra is written for students of Advanced Training Programs of Mechatronics (from California State University -CSƯ Chico) and Material Science (from University of Illinois- ƯI Digital library Ha Noi university of science and technology122 UC). When preparing the manuscript of this lecture, we have to combine the two syllabuses of two courses on Algebra of the two programs (Math 031 of CDigital library Ha Noi university of science and technology122
SƯ Chico and Math 225 of LTUC). There are some differences between the two syllabuses, e.g.. there is no module of algebraic structures and complex nuhttps:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGR Digital library Ha Noi university of science and technology122 lecture provides all the modules of knowledge which are given in both syllabuses. Students will be introduced to the theory and applications of matrices and systems of linear equations, vector spaces, linear transformations, eigenvalue problems. Euclidean spaces. orthogonal projections and least sq Digital library Ha Noi university of science and technology122 uare approximations, as they arise, for instance, from electrical networks, frameworks in mechanics, processes in statistics and linear models, systemDigital library Ha Noi university of science and technology122
s of linear differential equations and so on. The lecture is organized in such a way that the students can comprehend the most useful knowledge of linhttps:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGR Digital library Ha Noi university of science and technology122 mments and remarks lead to better appearance of this lecture. We also thank Dr. Nguyen Huu Tien. Dr. Tran Xuan Tiep and all the lecturers of Faculty of Applied Mathematics and Informatics for their inspiration and support during the preparation of the lecture.Hanoi. October 20. 2008Assoc. Prof. Dr. Digital library Ha Noi university of science and technology122 Nguyen Thieu Huy1Nguyen Thieu Huy. Leertire 0H AlgebraContentsChapter 1: Sets..................................................................4I.ConcDigital library Ha Noi university of science and technology122
epts and basic operations................................................4II.Set equalities...........................................................https:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGR Digital library Ha Noi university of science and technology122 ...............9I.Definition and examples......................................................9II.Compositions................................................................9III.Images and inverse images.................................................10IV.Injective, surjective, bijective, and inv Digital library Ha Noi university of science and technology122 erse mappings....................11Chapter 3: Algebraic Structures and C omplex Numbers............................13I.Groups.........................Digital library Ha Noi university of science and technology122
.............................................13II.Rings......................................................................15III.Fields.............https:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGR Digital library Ha Noi university of science and technology122 rices.............................................................26I.Basic concepts..............................................................26II.Matrix addition, scalar multiplication.....................................28III.Matrix multiplications.............................................. Digital library Ha Noi university of science and technology122 ......29IV.Special matrices..........................................................31V.Systems of linear equations..................................Digital library Ha Noi university of science and technology122
.............33VI.Gauss elimination method..................................................34https:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRhttps:// k hot h u vien .comBACH KHOAHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICS ADVANCED TRAINING PROGRGọi ngay
Chat zalo
Facebook