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Extraction Code: 5578 Title: Advanced Algebra (Volume II)
Author: Qiu
Douban score: 9. 1
Publishing House: Tsinghua University Publishing House
Publication year: 20 10- 10
Page count: 670
Content Description: Advanced Algebra (Volume II): As an innovative teaching material of advanced algebra in colleges and universities, it is an integral part of the course construction of the national excellent teaching team (Peking University Basic Mathematics Teaching Team) and the result of the course construction and teaching reform of advanced algebra by national famous teachers for many years.
This set of books takes the structure and morphism of linear space and polynomial ring as the main line, arranges the content system according to the inherent law of higher algebra knowledge and students' cognitive law, and is written according to the mathematical thinking mode, focusing on cultivating mathematical thinking ability. The first volume includes: linear equations, determinant, N-dimensional vector space K, matrix operation, Euclidean space R, matrix offset and similarity, matrix contraction and quadratic form. The second volume includes: polynomial rings, linear spaces, linear mappings, linear spaces with metrics (Euclidean space, unitary space, orthogonal space and symplectic space), concepts and important examples of rings, fields and groups, and multiple linear algebras.
Each section of the book contains the essence of the content, typical examples and exercises, and there are supplementary questions at the end of the chapter (except chapter 1 1), and a section on "Application World" is specially set up. Advanced Algebra (Volume II): The innovative teaching materials of advanced algebra course in colleges and universities are rich in content, comprehensive and profound, with clear, detailed and rigorous explanations, which can help readers reach a considerable height in advanced algebra theory and scientific thinking ability. Advanced Algebra (Volume II): Innovative teaching materials for advanced algebra courses in universities, teachers' colleges and universities of science and engineering, and can also be used as teaching reference books for advanced algebra or linear algebra courses, as well as high-quality reference books for math teachers and researchers.