Linear Algebra PDF Books

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Introduction To Applied Linear Algebra

Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Size: 47.26 MB
Format: PDF, ePub, Docs
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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Language: en
Pages: 500

Introduction to Applied Linear Algebra

Authors: Stephen Boyd, Lieven Vandenberghe

Categories: Business & Economics

Type: BOOK - Published: 2018-06-07 - Publisher: Cambridge University Press

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Language: en
Pages: 472

Introduction to Linear Algebra

Authors: Gilbert Strang

Categories: Algebras, Linear

Type: BOOK - Published: 1993 - Publisher: Wellesley College

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Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.

Language: en
Pages: 432

Matrices and Linear Algebra

Authors: Hans Schneider, George Phillip Barker

Categories: Mathematics

Type: BOOK - Published: 2012-06-08 - Publisher: Courier Corporation

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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Language: un
Pages: 285

Linear Algebra

Authors: Serge Lang

Categories: Mathematics

Type: BOOK - Published: 1987-01-26 - Publisher: Springer Science & Business Media

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This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.

Language: un
Pages: 384

Linear Algebra For Dummies

Authors: Mary Jane Sterling

Categories: Mathematics

Type: BOOK - Published: 2009-07-07 - Publisher: John Wiley & Sons

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Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. Line up the basics — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices Relate vectors and linear transformations — link vectors and matrices with linear combinations and seek solutions of homogeneous systems Evaluate determinants — see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule Hone your skills with vector spaces — determine the properties of vector spaces and their subspaces and see linear transformation in action Tackle eigenvalues and eigenvectors — define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices Open the book and find: Theoretical and practical

Language: en
Pages: 201

Basic Linear Algebra

Authors: Thomas S. Blyth, Edmund F. Robertson

Categories: Mathematics

Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.

Language: en
Pages: 752

Linear Algebra

Authors: Larry E. Knop

Categories: Mathematics

Type: BOOK - Published: 2008-08-28 - Publisher: CRC Press

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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, this classroom-tested book gives students enough time to absorb the material by focusing on vector spaces early on and using computational sections as numerical interludes. It offers introductions to MapleTM, MATLAB®, and TI-83 Plus for calculating matrix inverses, determinants, eigenvalues, and eigenvectors. Moving from the specific to the general, the author raises questions, provides motivation, and discusses strategy before presenting answers. Discussions of motivation and strategy include content and context to help students learn.

Language: en
Pages: 542

A First Course in Linear Algebra

Authors: Robert A. Beezer

Categories: Mathematics

Type: BOOK - Published: 2012-12-01 - Publisher: Congruent Press

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An introduction to the basic concepts of linear algebra, along with an introduction to the techniques of formal mathematics. Numerous worked examples and exercises, along with precise statements of definitions and complete proofs of every theorem, make the text ideal for independent study.

Language: en
Pages: 768

Elementary Linear Algebra

Authors: Stephen Andrilli, David Hecker

Categories: Mathematics

Type: BOOK - Published: 2010-02-04 - Publisher: Academic Press

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Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list: * Maple Algorithmic testing- Maple TA- www.maplesoft.com Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference More than 310 numbered examples in the text at least one for each new concept or application Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions Provides an early introduction to eigenvalues/eigenvectors A Student solutions manual, containing fully worked out solutions and instructors manual available

Language: en
Pages: 376

Linear Algebra

Authors: Elizabeth S. Meckes, Mark W. Meckes

Categories: Mathematics

Type: BOOK - Published: 2018-05-24 - Publisher:

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Rigorous yet engaging, Linear Algebra offers a unified treatment of both matrix-oriented and theoretical approaches to the course.