The Linear Algebra - A Beginning Graduate Student Ought to Know (Texts in the Mathematical Sciences)

"Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of computational techniques. Unfortunately, in recent years the content of the linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate linear algebra course is insufficient for graduate study. This book is intended to fill this gap by providing enough material "theoretical and computational" to allow the student to work independently or in advanced courses." "The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some basic ideas and techniques, such as the solution of a small system of linear equations over the real numbers. More importantly, it does assume a seriousness of purpose and a modicum of mathematical sophistication on the part of the reader. The book also containes over 1000 exercises, many of which are very challenging. It is considerably enlarged over the first edition."--BOOK JACKET.

המשפט הראשון: Sets will be denoted by braces, { }, between which we will either enumerate the elements of the set or give a rule for determining whether something is an element of the set of not, as in {x | p(x)}, which is read "the set of all x such that p(x)".

שנה

1899

שפה

English

הוצאה

Springer

מהדורות

3

עמודים

436

ISBN

9781402054945

מקור הנתונים: Wikidata