A Brief Course In Linear Algebra

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A Brief Course In Linear Algebra
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Author : Whye-Teong Ang
language : en
Publisher: BrownWalker Press
Release Date : 2019-06-15
A Brief Course In Linear Algebra written by Whye-Teong Ang and has been published by BrownWalker Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-15 with Mathematics categories.
This book contains a brief course in elementary linear algebra with emphasis on solving systems of linear algebraic and ordinary differential equations. It is written for undergraduate students in the disciplines of applied mathematics, science and engineering. Topics covered include basics of matrices and vectors, systems of linear algebraic equations, matrix inverse, matrix determinant, eigenvalues and eigenvectors, matrix diagonalization, and systems of first order linear ordinary differential equations. The connections between the topics are carefully elucidated. Derivations or proofs are given in detail for all the main results in the book. Basic knowledge of the arithmetic of complex numbers and exposure to elementary functions and calculus are assumed. Problems are set at the end of every main chapter of the book to test the understanding of students and to provide further insights into the topics studied.
Introduction To Linear Algebra With Applications
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Author : Jim DeFranza
language : en
Publisher: Waveland Press
Release Date : 2015-01-23
Introduction To Linear Algebra With Applications written by Jim DeFranza and has been published by Waveland Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-23 with Mathematics categories.
Over the last few decades, linear algebra has become more relevant than ever. Applications have increased not only in quantity but also in diversity, with linear systems being used to solve problems in chemistry, engineering, economics, nutrition, urban planning, and more. DeFranza and Gagliardi introduce students to the topic in a clear, engaging, and easy-to-follow manner. Topics are developed fully before moving on to the next through a series of natural connections. The result is a solid introduction to linear algebra for undergraduates’ first course.
A Modern Introduction To Linear Algebra
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Author : Henry Ricardo
language : en
Publisher: CRC Press
Release Date : 2009-10-21
A Modern Introduction To Linear Algebra written by Henry Ricardo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-21 with Mathematics categories.
Useful Concepts and Results at the Heart of Linear AlgebraA one- or two-semester course for a wide variety of students at the sophomore/junior undergraduate levelA Modern Introduction to Linear Algebra provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra. Concrete, easy-to-understand examples m
Linear Algebra Gateway To Mathematics Second Edition
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Author : Robert Messer
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-07-12
Linear Algebra Gateway To Mathematics Second Edition written by Robert Messer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-12 with Education categories.
Linear Algebra: Gateway to Mathematics uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations. The unifying concepts of linear algebra reveal the analogies among three primary examples: Euclidean spaces, function spaces, and collections of matrices. Students are gently introduced to abstractions of higher mathematics through discussions of the logical structure of proofs, the need to translate terminology into notation, and efficient ways to discover and present proofs. Application of linear algebra and concrete examples tie the abstract concepts to familiar objects from algebra, geometry, calculus, and everyday life. Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics. They will also be fortified with a degree of mathematical maturity required for subsequent courses in abstract algebra, real analysis, and elementary topology. Students who have prior background in dealing with the mechanical operations of vectors and matrices will benefit from seeing this material placed in a more general context.
A Course In Linear Algebra With Applications
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Author : Derek John Scott Robinson
language : en
Publisher: World Scientific
Release Date : 1992
A Course In Linear Algebra With Applications written by Derek John Scott Robinson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This solution booklet is a supplement to the book ?A Course in Linear Algebra with Applications?. It will be useful to lecturers and to students taking the subject since it contains complete solutions to all 283 exercises in the book.
A First Course In Linear Algebra
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Author : Shou-te Chang
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-07-13
A First Course In Linear Algebra written by Shou-te Chang and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-13 with Mathematics categories.
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.
Fundamentals Of Linear Algebra
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Author : J.S. Chahal
language : en
Publisher: CRC Press
Release Date : 2018-12-07
Fundamentals Of Linear Algebra written by J.S. Chahal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Mathematics categories.
Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear. Features: Presents theories and applications in an attempt to raise expectations and outcomes The subject of linear algebra is presented over arbitrary fields Includes many non-trivial examples which address real-world problems About the Author: Dr. J.S. Chahal is a professor of mathematics at Brigham Young University. He received his Ph.D. from Johns Hopkins University and after spending a couple of years at the University of Wisconsin as a post doc, he joined Brigham Young University as an assistant professor and has been there ever since. He specializes and has published a number of papers about number theory. For hobbies, he likes to travel and hike, the reason he accepted the position at Brigham Young University
First Course In Linear Algebra
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Author : Phani Bhushan Bhattacharya
language : en
Publisher: New Age International
Release Date : 1983
First Course In Linear Algebra written by Phani Bhushan Bhattacharya and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Algebra categories.
A First Course In Linear Algebra
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Author : Robert A. Beezer
language : en
Publisher: Orange Groove Books
Release Date : 2009-09-01
A First Course In Linear Algebra written by Robert A. Beezer and has been published by Orange Groove Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with Mathematics categories.
A First Course In Linear Algebra
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Author : A. G. Hamilton
language : en
Publisher: CUP Archive
Release Date : 1987-09-03
A First Course In Linear Algebra written by A. G. Hamilton and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-09-03 with Mathematics categories.
This is a short, readable introduction to basic linear algebra, as usually encountered in a first course. The development of the subject is integrated with a large number of worked examples that illustrate the ideas and methods. The format of the book, with text and relevant examples on facing pages means that the reader can follow the text uninterrupted. The student should be able to work through the book and learn from it sequentially. Stress is placed on applications of the methods rather than on developing a logical system of theorems. Numerous exercises are provided.