A First Course in Linear Algebra

2020 Algebras, Linear

Author : Kenneth Kuttler
Release : 2020
Genre : Algebras, Linear
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis A First Course in Linear Algebra by : Kenneth Kuttler

Download or read book A First Course in Linear Algebra written by Kenneth Kuttler. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: "A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.

A First Course in Linear Algebra

2014-05-12 Mathematics

Author : Daniel Zelinsky
Release : 2014-05-12
Genre : Mathematics
Kind : eBook
Book Rating : 005/5 ( reviews)

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Book Synopsis A First Course in Linear Algebra by : Daniel Zelinsky

Download or read book A First Course in Linear Algebra written by Daniel Zelinsky. This book was released on 2014-05-12. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Linear Algebra provides an introduction to the algebra and geometry of vectors, matrices, and linear transformations. This book is designed as a background for second-year courses in calculus of several variables and differential equations where the theory of linear differential equations parallels that of linear algebraic equations. The topics discussed include the multiplication of vectors by scalars, vectors in n-space, planes and lines, and composites of linear mappings. The symmetric matrices and mappings, quadratic forms, change of coordinates, and effect of change of basis on matrices of linear functions are also described. This text likewise considers the computation of determinants, diagonalizable transformations, computation of eigenvalues and eigenvectors, and principal axis theorem. This publication is suitable for college students taking a course in linear algebra.

Linear Algebra: Core Topics For The First Course

2020-03-26 Mathematics

Author : Dragu Atanasiu
Release : 2020-03-26
Genre : Mathematics
Kind : eBook
Book Rating : 049/5 ( reviews)

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Book Synopsis Linear Algebra: Core Topics For The First Course by : Dragu Atanasiu

Download or read book Linear Algebra: Core Topics For The First Course written by Dragu Atanasiu. This book was released on 2020-03-26. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to linear algebra intended as a textbook for the first course in linear algebra. In the first six chapters we present the core topics: matrices, the vector space ℝn, orthogonality in ℝn, determinants, eigenvalues and eigenvectors, and linear transformations. The book gives students an opportunity to better understand linear algebra in the next three chapters: Jordan forms by examples, singular value decomposition, and quadratic forms and positive definite matrices.In the first nine chapters everything is formulated in terms of ℝn. This makes the ideas of linear algebra easier to understand. The general vector spaces are introduced in Chapter 10. The last chapter presents problems solved with a computer algebra system. At the end of the book we have results or solutions for odd numbered exercises.

Linear Algebra

2008-08-28 Mathematics

Author : Larry E. Knop
Release : 2008-08-28
Genre : Mathematics
Kind : eBook
Book Rating : 834/5 ( reviews)

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Book Synopsis Linear Algebra by : Larry E. Knop

Download or read book Linear Algebra written by Larry E. Knop. This book was released on 2008-08-28. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google's PageRank. Unlike other texts on the subject, thi

Linear Algebra Done Right

1997-07-18 Mathematics

Author : Sheldon Axler
Release : 1997-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 595/5 ( reviews)

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Book Synopsis Linear Algebra Done Right by : Sheldon Axler

Download or read book Linear Algebra Done Right written by Sheldon Axler. This book was released on 1997-07-18. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

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