Linear Algebra

Harold M. Edwards

200 pages, parution le 08/07/2005

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Résumé

In his new undergraduate textbook, Harold M. Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra. Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computer-dominated late 20th century.

Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience.

Designed for a one-semester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject. Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject.

Written for: Mathematicians, researchers, undergraduate and grad students

L'auteur - Harold M. Edwards

Harold M. Edwards is Emeritus Professor of Mathematics at New York University. His previous books are Advanced Calculus (1969, 1980, 1993), Riemann's Zeta Function (1974, 2001), Fermat's Last Theorem (1977), Galois Theory (1984), Divisor Theory (1990) and Linear Algebra (1995). Readers of his Advanced Calculus will know that his preference for constructive mathematics is not new.

Sommaire

Matrix Multiplication
Equivalence of Matrices. Reduction to Diagonal Form
Matrix Division
Determinants
Testing for Equivalence
Matrices With Rational Number Entries
The Method of Least Squares
Matrices with Polynomial Entries
Similarity of Matrices
The Spectral Theorem
Appendix: Linear Programming

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Harold M. Edwards
Parution	08/07/2005
Nb. de pages	200
Format	19,5 x 24,5
Couverture	Broché
Poids	380g
Intérieur	Noir et Blanc
EAN13	9780817643706
ISBN13	978-0-8176-4370-6