Tag: Linear

September 26, 2023

Linear Algebra And Optimization With Applications To Machine Learning – Volume I Linear Algebra For Computer Vision, Robotics

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Free Download Linear Algebra And Optimization with Applications to Machine Learning Volume I: Linear Algebra for Computer Vision, Robotics, and Machine Learning (822 Pages)
by Jean Gallier & Jocelyn Quaintance
English | 2021 | ISBN: 9811206392 | 823 pages | True/Retail PDF | 7.11 MB
This book provides the mathematical fundamentals of linear algebra to practicers in computer vision, machine learning, robotics, applied mathematics, and electrical engineering. By only assuming a knowledge of calculus, the authors develop, in a rigorous yet down to earth manner, the mathematical theory behind concepts such as: vectors spaces, bases, linear maps, duality, Hermitian spaces, the spectral theorems, SVD, and the primary decomposition theorem. At all times, pertinent real-world applications are provided. This book includes the mathematical explanations for the tools used which we believe that is adequate for computer scientists, engineers and mathematicians who really want to do serious research and make significant contributions in their respective fields.

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September 26, 2023

Lectures on Linear Algebra

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Free Download Lectures on Linear Algebra (252 Pages)
by Donald S Passman
English | 2022 | ISBN: 9811254842 | 253 pages | True PDF | 8.29 MB
This book consists of the expanded notes from an upper level linear algebra course given some years ago by the author. Each section, or lecture, covers about a week’s worth of material and includes a full set of exercises of interest. It should feel like a very readable series of lectures. The notes cover all the basics of linear algebra but from a mature point of view. The author starts by briefly discussing fields and uses those axioms to define and explain vector spaces. Then he carefully explores the relationship between linear transformations and matrices. Determinants are introduced as volume functions and as a way to determine whether vectors are linearly independent. Also included is a full chapter on bilinear forms and a brief chapter on infinite dimensional spaces.The book is very well written, with numerous examples and exercises. It includes proofs and techniques that the author has developed over the years to make the material easier to understand and to compute.

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