This groundbreaking textbook combines straightforward explanations with a wealth of practical examples to offer an innovative approach to teaching linear algebra. Requiring no prior knowledge of the subject, it covers the aspects of linear algebra - vectors, matrices, and least squares - that are needed for engineering applications, discussing examples across data science, machine learning and artificial intelligence, signal and image processing, tomography, navigation, control, and finance. The numerous practical exercises throughout allow students to test their understanding and translate their knowledge into solving real-world problems, with lecture slides, additional computational exercises in Julia and MATLAB®, and data sets accompanying the book online. Suitable for both one-semester and one-quarter courses, as well as self-study, this self-contained text provides beginning students with the foundation they need to progress to more advanced study.
- Shows students how a few fundamental linear algebra concepts and techniques underlie a wide variety of applications
- Provides a revolutionary new approach to teaching linear algebra methods to aspiring data scientists
- Includes numerous practical examples and exercises, allowing students to translate their knowledge of abstract linear algebra into real-world applications
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Reviews & endorsements
'Introduction to Applied Linear Algebra fills a very important role that has been sorely missed so far in the plethora of other textbooks on the topic, which are filled with discussions of nullspaces, rank, complex eigenvalues and other concepts, and by way of 'examples', typically show toy problems. In contrast, this unique book focuses on two concepts only, linear independence and QR factorization, and instead insists on the crucial activity of modeling, showing via many well-thought out practical examples how a deceptively simple method such as least-squares is really empowering. A must-read introduction for any student in data science, and beyond!' Laurent El Ghaoui, University of California, Berkeley
'This book explains the least squares method and the linear algebra it depends on - and the authors do it right!' Gilbert Strang, Massachusetts Institute of Technology
'The kings of convex optimization have crossed the quad and produced a wonderful fresh look at linear models for data science. While for statisticians the notation is a bit quirky at times, the treatise is fresh with great examples from many fields, new ideas such as random featurization, and variations on classical approaches in statistics. With tons of exercises, this book is bound to be popular in the classroom.' Trevor Hastie, Stanford University, California
'Boyd and Vandenberghe present complex ideas with a beautiful simplicity, but beware! These are very powerful techniques! And so easy to use that your students and colleagues may abandon older methods. Caveat lector!' Robert Proctor, Stanford University, California
'… this book … could be used either as the textbook for a first course in applied linear algebra for data science or (using the first half of the book to review linear algebra basics) the textbook for a course in linear algebra for data science that builds on a prior to introduction to linear algebra … This is a very well written textbook that features significant mathematics, algorithms, and applications. I recommend it highly.' Brian Borchers, MAA Reviews
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Product details
- Date Published: August 2018
- format: Hardback
- isbn: 9781316518960
- length: 474 pages
- dimensions: 253 x 195 x 25 mm
- weight: 1.18kg
- availability: In stock
Table of Contents
Part I. Vectors:
1. Vectors
2. Linear functions
3. Norm and distance
4. Clustering
5. Linear independence
Part II. Matrices:
6. Matrices
7. Matrix examples
8. Linear equations
9. Linear dynamical systems
10. Matrix multiplication
11. Matrix inverses
Part III. Least Squares:
12. Least squares
13. Least squares data fitting
14. Least squares classification
15. Multi-objective least squares
16. Constrained least squares
17. Constrained least squares applications
18. Nonlinear least squares
19. Constrained nonlinear least squares
Appendix A
Appendix B
Appendix C
Appendix D
Index.
Look Inside
Authors
Stephen Boyd, Stanford University, California
Stephen Boyd is the Samsung Professor of Engineering, and Professor of Electrical Engineering at Stanford University,California, with courtesy appointments in the Department of Computer Science, and the Department of Management Science and Engineering. He is the co-author of Convex Optimization (Cambridge, 2004), written with Lieven Vandenberghe.
Lieven Vandenberghe, University of California, Los Angeles
Lieven Vandenberghe is a Professor in the Electrical and Computer Engineering Department at the University of California, Los Angeles, with a joint appointment in the Department of Mathematics. He is the co-author, with Stephen Boyd, of Convex Optimization (Cambridge, 2004).

This title is available for institutional purchase via Cambridge Core

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Introduction to Applied Linear Algebra
Vectors, Matrices, and Least Squares

$51.99 (X)