Introduction to Modern Algebra and Matrix Theory

O. Schreier, E. Sperner, Martin David , Melvin Hausner

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English

Dover
19 July 2011

Mathematics & Sciences; Algebra; Calculus & mathematical analysis; Analytic geometry

Series: Dover Books on Mathematics

This unique text provides students with a single-volume treatment of the basics of calculus and analytic geometry. It reflects the teaching methods and philosophy of Otto Schreier, an influential mathematician and professor. The order of its presentation promotes an intuitive approach to calculus, and it offers a strong emphasis on algebra with minimal prerequisites.

Starting with affine space and linear equations, the text proceeds to considerations of Euclidean space and the theory of determinants, field theory and the fundamental theorem of algebra, elements of group theory, and linear transformations and matrices. Numerous exercises at the end of each section form important supplements to the text.

By: O. Schreier, E. Sperner
Translated by: Martin David, Melvin Hausner
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm, Spine: 20mm
Weight: 499g
ISBN: 9780486482200
ISBN 10: 0486482200
Series: Dover Books on Mathematics
Pages: 384
Publication Date: 19 July 2011
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Unspecified

Editor's Preface Translators' Preface Authors' Preface I. Affine Space; Linear Equations II. Euclidean Space; Theory of Determinants III. Field Theory; The Fundamental Theorem of Algebra IV. Elements of Group Theory V. Linear Transformations and Matrices Index

Otto Schreier (1901-1929) was a German born mathematician who worked in combinatorial group theory, particularly on subgroups of free groups and on knot groups. He made important contributions to group theory within his tragically short life.