1 edition of **Finite-dimensional linear algebra** found in the catalog.

Finite-dimensional linear algebra

Mark S. Gockenbach

- 350 Want to read
- 33 Currently reading

Published
**2010**
by Chapman & Hall/CRC in Boca Raton
.

Written in English

**Edition Notes**

Includes bibliographical references and index.

Statement | Mark S. Gockenbach |

Series | Discrete mathematics and its applications |

Classifications | |
---|---|

LC Classifications | QA184.2 .G63 2010 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL24493294M |

ISBN 10 | 9781439815632 |

LC Control Number | 2010008253 |

How is Chegg Study better than a printed Finite-Dimensional Linear Algebra student solution manual from the bookstore? Our interactive player makes it easy to find solutions to Finite-Dimensional Linear Algebra problems you're working on - just go to the chapter for your book. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector : Paul R. Halmos.

Linear Algebra Done Right "The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library."—CHOICE "A didactic masterpiece."—ZENTRALBLATT MATH “This book can be thought of as a very pure-math version of linear algebra . it focuses on linear operators, primarily in finite-dimensional Reviews: Linear algebra forms the basis for much of modern mathematics-theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. The author begins with an overview of the essential.

Introduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in Brand: Dover Publications. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra.

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Finite-Dimensional Linear Algebra (Discrete Mathematics and Its Applications Book 59) - Kindle edition by Gockenbach, Mark S. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Finite-Dimensional Linear Algebra (Discrete Mathematics and Its Applications Book 59).5/5(5).

Book Description. Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

Linear algebra forms the basis for much of modern mathematics―theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

The author begins with an overview of the Cited by: Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

The author begins with an overview of the essential themes of the book: linear equations, best. Finite-Dimensional Linear Algebra Solutions to selected odd-numbered exercises Mark S.

Gockenbach Septem Errata for the rst printing The following corrections will be made in the second printing of the text, expected in These solutions are written as if they have already been Size: KB.

Linear algebra forms the basis for much of modern mathematics-theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.5/5(1).

Contents Preface Finite-dimensional linear algebra book Abouttheauthor xxi 1 Some problemsposedonvector spaces 1 Linear equations 1 Systems oflinearalgebraic equations 1 Linear ordinarydifferential equations 4 Someinterpretation: The structure of the solution set to a linear equation 5 Finite fields andapplications in discretemathematics 7 Best approximation 8.

This book can be thought of as a very pure-math version of linear algebra, with no applications and hardly any work on matrices, determinants, or systems of linear equations. Instead it focuses on linear operators, primarily in finite-dimensional spaces but in many cases for general vector spaces.

Solutions can be found here. Every time I’ve taught the course (undergraduate), I’ve been saddled with someone else’s choice of text. And they’ve generally been isomorphic (the same) and not particularly inspiring. So I’m going with speculation here - in terms of what I think. Linear algebra forms the basis for much of modern mathematics-theoretical, applied, and computational.

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Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.".

A linear transformation on a finite-dimensional vector space has a unique minimal polynomial. There are three characteristic values of various types of linear transformations: singular transformations, unitary or orthogonal transformations, and nilpotent transformations.

Linear Algebra is intended to be used as a text for a one-semester. A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors.

Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality.

The final chapter covers matrix representations of linear /5(11). A great rigorous intro to linear algebra. This book develops linear algebra the way mathematicians see it.

The techniques taught are meant to be generalizable to the infinite dimensional cases (i.e. Hilbert spaces). Very few formal prerequisites are needed to read this. The main result of this subsection, that all of the bases in a finite-dimensional vector space have the same number of elements, is the single most important result in this book because, as Example shows, it describes what vector spaces and subspaces there can.

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This book is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. Throughout this book, extensive use is made of the exterior (anticommutative, “wedge”) product of vectors. In mathematics, the dimension of a vector space V is the cardinality (i.e.

the number of vectors) of a basis of V over its base field. It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension. For every vector space there exists a basis, and all bases of a vector space have equal cardinality; as a result, the dimension.

Linear Algebra - As an The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem.

Each chapter concludes with both proof-writing and computational exercises. This book can be thought of as a very pure-math version of linear algebra, with no applications and hardly any work on matrices, determinants, or systems of linear equations. Instead it focuses on linear operators, primarily in finite-dimensional spaces but in many cases for general vector spaces.

Finite-Dimensional Linear Algebra (Discrete Mathematics and Its Applications) can be one of your beginner books that are good idea. We recommend that straight away because this e-book has good vocabulary that could increase your knowledge in words, easy to understand, bit entertaining but nonetheless delivering the information.This is a book on linear algebra and matrix theory.

It provides an introduction to various numerical methods used in linear algebra. Linear Transformations, Inner Product Spaces, Norms For Finite Dimensional Vector Spaces.

Author(s): Kenneth Kuttler. Pages. Linear Algebra A free Linear Algebra Textbook and Online Resource.A vector space is called a linear algebra when besides addition of vectors and multiplication of vectors by scalars, a third operation, namely, multiplication of vectors by vectors is also defined in the vector space.

In a finite dimensional linear associative algebra, multiplication is .