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Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares
— —
Stephen Boyd (Stanford University, California) Lieven Vandenberghe (University of California, Los Angeles)
Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares by Stephen Boyd (Stanford University, California) at Abbey's Bookshop,

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

Stephen Boyd (Stanford University, California) Lieven Vandenberghe (University of California, Los Angeles)


9781316518960

Cambridge University Press


Econometrics;
Probability & statistics;
Maths for engineers;
Machine learning;
Pattern recognition


Hardback

474 pages

$65.95
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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. It is 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.

By:   Stephen Boyd (Stanford University California), Lieven Vandenberghe (University of California, Los Angeles)
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 253mm,  Width: 195mm,  Spine: 25mm
Weight:   1.180kg
ISBN:   9781316518960
ISBN 10:   1316518965
Pages:   474
Publication Date:   June 2018
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active

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.

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 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).


Advance praise: '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 Advance praise: '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 Advance praise: '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 Advance praise: '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

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