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A first course in linear algebra / Minking Eie, Shou-Te Chang
New Jersey : World Scientific, 2016
xii, 376 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 512.5
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines.This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra
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Introduction to Probability and Statistics Using R / G. Jay Kerns
Morrisville U.S. : Lulu Enterprises, Inc., 2010
386 p. ; 27 cm.
Ký hiệu phân loại (DDC): 519
This is a textbook for an undergraduate course in probability and statistics. The approximate prerequisites are two or three semesters of calculus and some linear algebra.
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Linear Algebra with Applications : Base textbook version 2018 revision A / W. Keith Nicholson
US : CreateSpace Independent Publishing Platform, 2018
698 pages. : illustrations ; 27 cm.
Ký hiệu phân loại (DDC): 512.5
After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning. Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.
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Matrices : algebra, analysis, and applications / Shmuel Friedland
New Jersey : World Scientific, 2016
xii, 582 pages. ; 25 cm.
Ký hiệu phân loại (DDC): 512.9
This volume deals with advanced topics in matrix theory using the notions and tools from algebra, analysis, geometry and numerical analysis. It consists of seven chapters that are loosely connected and interdependent. The choice of the topics is very personal and reflects the subjects that the author was actively working on in the last 40 years. Many results appear for the first time in the volume. Readers will encounter various properties of matrices with entries in integral domains, canonical forms for similarity, and notions of analytic, pointwise and rational similarity of matrices with entries which are locally analytic functions in one variable. This volume is also devoted to various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of non-negative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operations research, physics and statistics
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