Abstract algebra.
Abstract algebra.
- xiv, 314 pages : illustrations (some color) ; 27 cm.
Includes bibliographical references and index.
Preliminaries -- Groups -- Rings -- Fields -- Some important theorems -- The fundamental theorem of Galois theory.
The concepts of Linear Algebra are crucial for understanding the theory behind Machine Learning, especially for Deep Learning. They give you better intuition for how algorithms really work under the hood, which enables you to make better decisions. Abstract algebra is a broad field of mathematics, concerned with algebraic structures such as groups, rings, vector spaces, and algebras. In a rough way, abstract algebra is the study of what happens when certain properties of number systems are abstracted out; for instance, altering the definitions od the basic arithmetic operations result in a structure known as a ring, so long as the operations are consistent. A certain amount of mathematical maturity is necessary to find and study applications of abstract algebra. A basic knowledge of set theory, mathematical induction, equivalence relations, and matrices is a must. Even more important is the ability to read and understant mathematical proofs. In this book, we will outline the background needed in abstract algebra.
9781984637215
Algebra, Abstract.
QA162
512.02 / Ab892
Includes bibliographical references and index.
Preliminaries -- Groups -- Rings -- Fields -- Some important theorems -- The fundamental theorem of Galois theory.
The concepts of Linear Algebra are crucial for understanding the theory behind Machine Learning, especially for Deep Learning. They give you better intuition for how algorithms really work under the hood, which enables you to make better decisions. Abstract algebra is a broad field of mathematics, concerned with algebraic structures such as groups, rings, vector spaces, and algebras. In a rough way, abstract algebra is the study of what happens when certain properties of number systems are abstracted out; for instance, altering the definitions od the basic arithmetic operations result in a structure known as a ring, so long as the operations are consistent. A certain amount of mathematical maturity is necessary to find and study applications of abstract algebra. A basic knowledge of set theory, mathematical induction, equivalence relations, and matrices is a must. Even more important is the ability to read and understant mathematical proofs. In this book, we will outline the background needed in abstract algebra.
9781984637215
Algebra, Abstract.
QA162
512.02 / Ab892