Linear Algebra

LINEAR ALGEBRA EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students. An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur’s Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of: A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis A treatment on defining geometries on vector spaces, including the Gram-Schmidt process Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra. LINEAR ALGEBRA

EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS

Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students.

An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur’s Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of:

• A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations
• An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants
• Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis
• A treatment on defining geometries on vector spaces, including the Gram-Schmidt process

Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra. Explore A Comprehensive Introductory Text In Linear Algebra With Compelling Supplementary Materials, Including A Companion Website And Solutions Manual Linear Algebra Delivers A Fulsome Exploration Of The Central Concepts In Linear Algebra, Including Multidimensional Spaces, Matrices, Matrix Algebra, Linear Transformations, Determinants, Vector Spaces, Subspaces, Linear Independence, Basis, Inner Products, And Eigenvectors. While The Text Provides Challenging Problems That Engage Readers In The Mathematical Theory Of Linear Algebra, It Is Written In An Accessible And Simple-to-grasp Fashion Appropriate For Junior Undergraduate Students. An Emphasis On Logic, Set Theory, And Functions Exists Throughout The Book, And Each Topic Is Introduced Early To Provide Students With A Foundation From Which To Attack The Rest Of The Material In The Text. Linear Algebra Includes Accompanying Material In The Form Of A Companion Website That Features A Solutions Manual For Instructors. Finally, The Concluding Chapters In The Book Include Discussions Of Advanced Topics Like Matrix Theory And More General Algebraic Structures. Readers Will Also Benefit From The Inclusion Of: A Thorough Introduction To Logic And Set Theory, As Well As A Description Of Functions And Linear Transformations An Exploration Of Euclidean Spaces And Functions Between Euclidean Spaces, Including Vectors And The Standard Basis, Vector Algebra, Pythagoras, And Matrix Transformations Discussions Of Invertible Linear Transformations And Spaces Without Geometry, Including Subspaces, Linear Independence, And Change Of Basis A Treatment Of Functions Between Spaces And Geometry On Vector Spaces Perfect For Undergraduate Students Taking Their First Course In The Subject Matter, Linear Algebra Will Also Earn A Place In The Libraries Of Researchers In Computer Science Or Statistics Seeking An Accessible And Practical Foundation In Linear Algebra. "Although the history of solving linear equations is long, the early stages of what we today call linear algebra dates back to the late seventeenth century. Work first began by finding methods to solve systems of linear equations. Notatable mathematicians involved with this included Gottfried Wilhelm Leibniz, Gabriel Cramer, and Carl Friedrich Gauss. The mid-1800s saw the development of matrix algebra by Hermann Grassmann and Arthur Cayley afterwhich the subject evolved into a subdiscipline of abstract algebra. Although the field can be studied for its own sake, applications of linear algebra can be found in various subjects including computer science, probability, statistics, economics, physics, and cryptography."-- Provided by publisher