Introduction to Linear Algebra / Edition 5

by Gilbert Strang

Overview

Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners.

Product Details

ISBN-13:	2900980232775
Publisher:	Wellesley-Cambridge Press
Publication date:	05/15/2016
Series:	The Gilbert Strang Series
Pages:	573
Product dimensions:	6.50(w) x 1.50(h) x 9.50(d)

About the Author

Gilbert Strang has been teaching Linear Algebra at Massachusetts Institute of Technology (MIT) for over fifty years. His online lectures for MIT's OpenCourseWare have been viewed over ten million times. He is a former President of the Society for Industrial and Applied Mathematics and Chair of the Joint Policy Board for Mathematics. Professor Strang is the author of twelve books.

Table of Contents

2. Solving Linear Equations

3. Vector Spaces and Subspaces

4. Orthogonality

5. Determinants

6. Eigenvalues and Eigenvectors

7. Linear Transformations

8. Applications

9. Numerical Linear Algebra

10. Complex Vectors and Matrices

Solutions to Selected Exercises

MIT Course 18.06 Final Exam

Matrix Factorization

Index

Teaching Codes

Editorial Reviews

'Undergraduate mathematics textbooks are not what they used to be, and Gilbert Strang’s superb new edition of Introduction to Linear Algebra is an example of everything that a modern textbook could possibly be, and more … the writing is engaging and personal, and the presentation is exceptionally clear and informative (even seasoned instructors may benefit from Strang’s insights) … I would like to stress that there is a richness to the material that goes beyond most texts at this level.' Douglas Farenick, Bulletin of the International Linear Algebra Society

From the Publisher