2 edition of **Multilinear algebra** found in the catalog.

Multilinear algebra

Werner Hildbert Greub

- 94 Want to read
- 40 Currently reading

Published
**1967**
by Springer in Berlin
.

Written in English

- Algebras, Linear.

**Edition Notes**

Statement | W.H. Greub. |

Series | Die Grundlehren der mathematischen Wissenschaften -- Bd.136 |

The Physical Object | |
---|---|

Pagination | 434p. ; |

Number of Pages | 434 |

ID Numbers | |

Open Library | OL21708691M |

As for actual whole textbooks, there are basically 3 of them: For multilinear algebra from a purely algebraic and formal point of view, there's the classic textbook by abcdfestivalgoa.com, Multilinear Algebra. which is very austere but comprehensive. Less difficult is the book of the same title by Northcott (a nearly forgotten algebraicist which I'd love. Accept. We use cookies to improve your website experience. To learn about our use of cookies and how you can manage your cookie settings, please see our Cookie Policy. By closing this message, you are consenting to our use of cookies.

Fundamentals of Linear Algebra. This book is not a ”traditional” book in the sense that it does not include any applications to the material discussed. Its aim is solely to learn the basic theory of linear algebra within a semester period. Multilinear algebra extends the methods of linear abcdfestivalgoa.com as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account.

Aug 20, · I have been dealing with tensors for quite a few years, working my way through a good number of different books on tensors. However, I keep getting frustrated at times at the low quality of many books. I have a good background in linear algebra and some real analysis, but I . Jun 21, · In particular, the reader should be familiar with Chapters and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters remain essen tially unchanged from the previous edition.

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Jan 03, · In particular, the reader should be familiar with Chapters and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters remain essen tially unchanged from the previous edition.5/5(1).

Now, it's not that I'm not interested in modules, it's just that until today I've never dealt with them, so it's a little confusing to study the tensor product on that book. In that case, what's a good reference to study multilinear algebra done in vector spaces.

Is Kostrikin's book enough, or should I. In mathematics, multilinear algebra extends the methods of linear abcdfestivalgoa.com as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concepts of p-vectors and multivectors with Grassmann algebra.

Linear Algebra by Hoffman and Kunze covers this in chapter 5, where the tensor and exterior algebras are abcdfestivalgoa.coma by Serge Lang covers this in more detail in the later chapters, but this is a more difficult and in-depth treatment which also explains the universal properties of the symmetric, exterior, and tensor algebras along with other multilinear constructions.

Multilinear algebra has important applications in many different areas of mathematics but is usually learned in a rather haphazard fashion. The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate abcdfestivalgoa.com: D.

Northcott. This set of notes is an activity-oriented introduction to the study of linear and multilinear algebra. The great majority of the results in beginning linear and multilinear are straightforward and can be veri ed by the thoughtful student.

Indeed, that is the main point of these notes| to convince the beginner that the subject is accessible. MULTILINEAR ALGEBRA Background We will list below some deﬁnitions and theorems that are part of the curriculum of a standard theory-based sophomore level course in linear algebra.

(Such a course is a prerequisite for reading these notes.) A vector space is a set, V, the elements of which we will refer to as vectors. Multilinear Algebra - CRC Press Book. The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product.

Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representat. This book is built around the material on multilinear algebra which in chapters VI to IX of the second edition of Linear Algebra was included but exc1uded from the third edition.

It is designed to be a sequel and companion volume to the third edition of Linear Algebra. In fact, the terminology and basic results of that book are frequently used without reference.

In particular, the reader. This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23). As before, the terminology and basic results of Linear Algebra are frequently used without refer~nce.

In particular, theAuthor: Werner Greub. Multilinear Algebra: Edition 2 - Ebook written by Werner Greub. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Multilinear Algebra: Edition abcdfestivalgoa.com: Werner Greub.

Multilinear Algebra1 Tin-Yau Tam Department of Mathematics and Statistics Parker Hall Auburn University ALUSA [email protected] November 30, 1Some portions are from B.Y. Wang’s Foundation of Multilinear Algebra ( in Chinese). Dec 06, · Multilinear Algebra - Ebook written by Werner H.

Greub. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Multilinear Algebra.5/5(1). Multilinear Algebra.

book. Read reviews from world’s largest community for readers. Multilinear Algebra. book. Read reviews from world’s largest community for readers.

Start by marking “Multilinear Algebra.” as Want to Read: Want to Read saving Ratings: 0. This book is built around the material on multilinear algebra which in chapters VI to IX of the second edition of Linear Algebra was included but exc1uded from the third edition.

It is designed to be a sequel and companion volume to the third edition of Linear Algebra. In fact, the terminology and. This book is built around the material on multilinear algebra which in chapters VI to IX of the second edition of Linear Algebra was included but exc1uded from the third edition.

It is designed to be a sequel and companion volume to the third edition of Linear Algebra. Though not exclusively about multilinear algebra, Advanced Linear Algebra by Steven Roman has a very good chapter about it (Chapter 14 - Tensor Products).

As mentioned, multivariable analysis books like Sternberg’s Advanced Calculus, Munkres’ Anal. Feb 27, · It is only with the tensorproduct and other highly abstract concepts that the trouble starts.

I have briefly looked at the titles you recommend, but I would rather have a book that only deals with multilinear algebra.

I have seen some book that do so, but the are much too advanced for me. The prototypical multilinear operation is multiplication.

Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representation theory, to the combinatorics of symmetric functions, and all these subjects appear in this book.

In particular, the reader should be familiar with Chapters and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters remain essen tially unchanged from the previous abcdfestivalgoa.com: Werner Greub.

Get this from a library! Multilinear Algebra. [Werner Greub] -- This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23).

As before, the.☯ Full Synopsis: "Multilinear algebra has important applications in many different areas of mathematics but is usually learned in a rather haphazard fashion.

The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate students.Linear and Multilinear Algebra Volume 1 Ray M. Bowen Mechanical Engineering Texas A&M University College Station, Texas and C.-C.

Wang Mathematical Sciences Rice University book will aid students in their efforts to use vectors and tensors in applied areas. The presentation of the basic mathematical concepts is, we hope, as clear and brief.