Are there comprehensive math textbooks

Linear Algebra

Introduction

Given the choice of a very short introduction, in which I just wanted to say that this book reproduces the content of my beginners' lecture given in Heidelberg in 1980/81, or in a perhaps excessively lengthy one the reader the structure of the work and mine To introduce the conception of linear algebra, I finally decided on the second way. Although it leaves no gaps in the logical sequence and does not skip over or inadmissibly shorten any evidence, this book is intended less for self-study than as an accompanying text to an introductory lecture in linear algebra. The readership will mainly consist of first-year students. From these I assume that they have received a solid mathematical education at the school, especially with regard to the mastery of basic arithmetic and reasoning techniques as well as solid sample material in elementary geometry. The willingness to experiment by an authority that was, up to twenty years ago, quite inexperienced in trying out contemporary scientific training forms, which is welcome, has unfortunately led to the fact that the previous education of the students who are now entering higher education institutions, especially universities, appears to be very inconsistent. It is therefore absolutely advisable not to learn the material of the basic lectures from a book alone, but if possible with the support of a lecturer; At least the libraries, which usually have a good collection of elementary textbooks, should be used intensively.

Keywords

Algebra level linear independence matrices linear mapping linear algebra

Authors and affiliations

  1. 1. Institute for Applied Mathematics, University of Heidelberg-Heidelberg-Germany

Bibliographic information

  • Book TitleLinear Algebra
  • Book Subtitle An application-oriented introduction to geometry, the theory of equations and inequalities, as well as the laws of proportionality for use alongside lectures
  • AuthorsW. D. Beiglböck
  • DOIhttps: //doi.org/10.1007/978-3-642-69147-8
  • Copyright InformationSpringer-Verlag Berlin Heidelberg 1983
  • Publisher NameSpringer, Berlin, Heidelberg
  • eBook PackagesSpringer Book Archive
  • Softcover ISBN978-3-540-12477-1
  • eBook ISBN978-3-642-69147-8
  • Edition Number1
  • Number of PagesXXV, 296
  • Number of Illustrations0 b / w illustrations, 0 illustrations in color
  • TopicsLinear and Multilinear Algebras, Matrix Theory
  • Buy this book on publisher's site