# Introduction to Linear and Matrix Algebra

Read or download book entitled Introduction to Linear and Matrix Algebra written by Nathaniel Johnston and published by Springer Nature in PDF, EPUB and Kindle Format. Click Get This Book button to download or read online books. Join over 650.000 happy Readers and READ as many books as you like. We cannot guarantee that Introduction to Linear and Matrix Algebra book is available in the library.

- Author : Nathaniel Johnston
- Publisher : Springer Nature
- Release : 19 May 2021
- ISBN : 9783030528119
- Page : 482 pages
- Rating : 4.5/5 from 103 voters

## Download Introduction to Linear and Matrix Algebra in PDF, Epub and Kindle

This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.

### Introduction to Linear and Matrix Algebra

- Author : Nathaniel Johnston
- Publisher : Springer Nature
- Release Date : 2021-05-19
- ISBN : 9783030528119

This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra.

### Linear Algebra as an Introduction to Abstract Mathematics

- Author : Isaiah Lankham,Bruno Nachtergaele,Anne Schilling
- Publisher : World Scientific Publishing Company
- Release Date : 2015-11-30
- ISBN : 9789814723794

This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers,

### Linear Algebra

- Author : Georgi E. Shilov
- Publisher : Courier Corporation
- Release Date : 2012-04-26
- ISBN : 9780486135045

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, and more.

### Introduction to Applied Linear Algebra

- Author : Stephen Boyd,Lieven Vandenberghe
- Publisher : Cambridge University Press
- Release Date : 2018-06-07
- ISBN : 9781316518960

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

### Linear Algebra

- Author : Jeff Suzuki
- Publisher : CRC Press
- Release Date : 2021-05-04
- ISBN : 9781000377491

Linear Algebra: An Inquiry-based Approach is written to give instructors a tool to teach students to develop a mathematical concept from first principles. The Inquiry-based Approach is central to this development. The text is organized around and offers the standard topics expected in a first undergraduate course in linear algebra. In our approach, students begin with a problem and develop the mathematics necessary to describe, solve, and generalize it. Thus students learn a vital skill for the 21st century: the

### Introduction to Linear Algebra

- Author : Gilbert Strang
- Publisher : Wellesley-Cambridge Press
- Release Date : 2016-08-11
- ISBN : 0980232775

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and

### Introduction to Linear Algebra

- Author : Gilbert Strang
- Publisher : Wellesley College
- Release Date : 1993
- ISBN : STANFORD:36105007523389

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,

### Elementary Linear Algebra

- Author : Stephen Andrilli,David Hecker
- Publisher : Academic Press
- Release Date : 2010-02-04
- ISBN : 0080886256

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

### Linear Algebra

- Author : Elizabeth S. Meckes,Mark W. Meckes
- Publisher : Unknown
- Release Date : 2018-05-24
- ISBN : 9781107177901

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

### Introduction to linear algebra

- Author : Gordon Mills
- Publisher : Transaction Publishers
- Release Date : 2007-08-01
- ISBN : 9781412826563

This is the first book on linear algebra written specifically for social scientists. It deals only with those aspects of the subject applicable in the social sciences and provides a thorough understanding of linear algebra for those who wish to use it as a tool in the design, execution, and interpretation of research. Linear mathematical models play an important role in all of the social sciences. This book provides a step-by-step introduction to those parts of linear algebra which are

### Fundamentals of Linear Algebra

- Author : J.S. Chahal
- Publisher : CRC Press
- Release Date : 2018-12-07
- ISBN : 9780429758102

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

### Differential Equations with Linear Algebra

- Author : Matthew R. Boelkins,Jack L. Goldberg,Merle C. Potter
- Publisher : Oxford University Press
- Release Date : 2009-11-05
- ISBN : 9780199736669

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach,

### Linear Algebra: Concepts and Applications

- Author : Przemyslaw Bogacki
- Publisher : American Mathematical Soc.
- Release Date : 2019-01-24
- ISBN : 9781470443849

Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible. The applications of linear algebra are extensive and substantial—several of those recur throughout the text in different contexts,

### Linear Algebra

- Author : Larry E. Knop
- Publisher : CRC Press
- Release Date : 2008-08-28
- ISBN : 9781584887836

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

### Linear Algebra

- Author : Richard C. Penney
- Publisher : John Wiley & Sons
- Release Date : 2015-10-27
- ISBN : 9781118909591

Praise for the Third Edition “This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications.” – Electric Review A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on