Introduction to Algebra
Book information
Description
Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and modules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics.
Similar books
Groups and Graphs, Designs and Dynamics
2024 · PDF
Groups and Graphs, Designs and Dynamics
2024 · PDF
MTH714U: Further group theory, 2018/2019
2019 · ZIP
Notes on Counting: An Introduction to Enumerative Combinatorics
2017 · PDF
Introduction to Algebra
2008 · PDF
LTCC Course Enumerative Combinatorics, Fall 2013 [Lecture notes]
2013 · PDF
Notes on Classical Groups [Lecture notes]
2007 · PDF
Notes on Probability [Lecture notes]
2012 · PDF