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Introduction to linear algebra with applications / Jim DeFranza; Daniel Gagliardi
Boston : McGraw-Hill/Higher Education, 2009
509 p. : illustrations
Ký hiệu phân loại (DDC): 512.5
Offers an introduction to linear algebra. This book features topical coverage and concepts that help provide building blocks and develops sufficient knowledge before moving on. It helps develop abstract thinking. It develops balance between presenting rigor and building intuition. It helps to draw connection between concepts and techniques/facts.
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Linear Algebra / Jörg Liesen and Volker Mehrmann
Cham : Springer, 2015
321 p. ; cm.
Ký hiệu phân loại (DDC): 512.5
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several 'MATLAB-Minutes' students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises.
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Linear Algebra Done Right / Sheldon Axler
Cham : Springer, 2015
352 p. ; cm.
Ký hiệu phân loại (DDC): 512.5
"This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator."--Publisher's description.
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