Ebook: Algebra
Author: Roger Godement
- Genre: Mathematics // Algebra
- Year: 1969
- Publisher: Houghton Mifflin
- Edition: 0
- Language: English
- djvu
This book is based on lecture-courses given by the author at the University of Paris.
Although designed to meet the needs of French undergraduates, it covers the
beginning algebra course in an American University and the average Honors
mathematics course in a British University. The book contains a thorough treatment
of linear algebra and can therefore be used as an algebra textbook by the student
throughout his undergraduate career.
The topics covered in this book are those which are universally considered to be
essential for the future mathematician or physicist: sets and functions; groups, rings,
fields, complex numbers; vector spaces, linear mappings, matrices; finite-dimensional
vector spaces, systems of linear equations, determinants, Cramer's formulae;
polynomials, rational fractions, algebraic equations; reduction of matrices. This
choice of subject-matter reflects the evolution of mathematics in the last half-century,
and we have thought it proper that this evolution should also be reflected by the use
of a style which hitherto has been reserved for treatises addressed to professional
mathematicians.
Although designed to meet the needs of French undergraduates, it covers the
beginning algebra course in an American University and the average Honors
mathematics course in a British University. The book contains a thorough treatment
of linear algebra and can therefore be used as an algebra textbook by the student
throughout his undergraduate career.
The topics covered in this book are those which are universally considered to be
essential for the future mathematician or physicist: sets and functions; groups, rings,
fields, complex numbers; vector spaces, linear mappings, matrices; finite-dimensional
vector spaces, systems of linear equations, determinants, Cramer's formulae;
polynomials, rational fractions, algebraic equations; reduction of matrices. This
choice of subject-matter reflects the evolution of mathematics in the last half-century,
and we have thought it proper that this evolution should also be reflected by the use
of a style which hitherto has been reserved for treatises addressed to professional
mathematicians.
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