Introduction To Linear And Matrix Algebra PDF Books

Download Introduction To Linear And Matrix Algebra PDF books. Access full book title Introduction To Linear And Matrix Algebra by Nathaniel Johnston, the book also available in format PDF, EPUB, and Mobi Format, to read online books or download Introduction To Linear And Matrix Algebra full books, Click Get Books for free access, and save it on your Kindle device, PC, phones or tablets.

Introduction To Linear And Matrix Algebra

Introduction To Linear And Matrix Algebra
Author: Nathaniel Johnston
Publisher: Springer
ISBN: 9783030528102
Size: 38.73 MB
Format: PDF, Mobi
View: 4232
Get Books

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
Language: en
Pages: 482
Authors: Nathaniel Johnston
Categories: Mathematics
Type: BOOK - Published: 2021-06-18 - Publisher: Springer
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
An Introduction to Linear Algebra
Language: en
Pages: 440
Authors: Leonid Mirsky
Categories: Mathematics
Type: BOOK - Published: 1990-01-01 - Publisher: Courier Corporation
"The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The
Introduction to Linear Algebra and the Theory of Matrices
Language: en
Pages: 288
Authors: Hans Schwerdtfeger
Categories: Algebra, Universal
Type: BOOK - Published: 1961 - Publisher:
Books about Introduction to Linear Algebra and the Theory of Matrices
Advanced Linear and Matrix Algebra
Language: en
Pages: 494
Authors: Nathaniel Johnston
Categories: Algebra
Type: BOOK - Published: 2021 - Publisher: Springer Nature
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers
Lineare Algebra
Language: de
Pages: 656
Authors: Gilbert Strang
Categories: Mathematics
Type: BOOK - Published: 2013-03-07 - Publisher: Springer-Verlag
Diese Einführung in die lineare Algebra bietet einen sehr anschaulichen Zugang zum Thema. Die englische Originalausgabe wurde rasch zum Standardwerk in den Anfängerkursen des Massachusetts Institute of Technology sowie in vielen anderen nordamerikanischen Universitäten. Auch hierzulande ist dieses Buch als Grundstudiumsvorlesung für alle Studenten hervorragend lesbar. Darüber hinaus gibt es
Introduction to Matrix Algebra
Language: en
Pages: 208
Authors: Autar Kaw
Categories: Education
Type: BOOK - Published: 2008-09 - Publisher: Lulu.com
Since 2002, the Introduction to Matrix Algebra book has been downloaded by more than 30,000 users from 50 different countries. This book is an extended primer for undergraduate Matrix Algebra. The book is either to be used as a refresher material for students who have already taken a course in
Introduction to Linear Algebra with Applications
Language: en
Pages: 488
Authors: Jim DeFranza, Daniel Gagliardi
Categories: Mathematics
Type: BOOK - Published: 2015-01-23 - Publisher: Waveland Press
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
Introduction to Linear Algebra in Geology
Language: en
Pages: 203
Authors: J. Ferguson
Categories: Mathematics
Type: BOOK - Published: 1994-05-31 - Publisher: Springer Science & Business Media
Introduction to Linear Algebra in Geology introduces linear algebra to students of geology and explores the possibilities of using the techniques as an aid to solving geological problems which can be solved numerically. A basic knowledge of geology is assumed.
Introduction to Linear and Matrix Algebra
Language: en
Pages: 482
Authors: Nathaniel Johnston
Categories: Mathematics
Type: BOOK - Published: 2021-05-19 - Publisher: Springer Nature
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
Introduction to Linear Algebra
Language: en
Pages: 293
Authors: Serge Lang
Categories: Mathematics
Type: BOOK - Published: 1997-04-01 - Publisher: Springer
This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of