Multilinear Algebra (Universitext) 2nd Edition by Werner Greub (PDF)

Description

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, the reader should be familiar with Chapters 1-5 and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters 1-5 remain essen­ tially unchanged from the previous edition. Chapter 6 has been completely rewritten and split into three (Chapters 6, 7, and 8). Some of the proofs have been simplified and a substantial amount of new material has been added. This applies particularly to the study of characteristic coefficients and the Pfaffian. The old Chapter 7 remains as it stood, except that it is now Chapter 9. The old Chapter 8 has been suppressed and the material which it con­ tained (multilinear functions) has been relocated at the end of Chapters 3, 5, and 9. The last two chapters on Clifford algebras and their representations are completely new. In view of the growing importance of Clifford algebras and the relatively few references available, it was felt that these chapters would be useful to both mathematicians and physicists.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A comprehensive and beautifully written tome on advanced topics in multilinear algebra. Admirable as a reference if not the ideal choice for a first read on the subject of tensor, symmetric,and exterior products and their algebras. An expansion of part of the author’s very fine text on linear algebra.

⭐El anterior libro de Álgebra Lineal es necesario para entender alguna de las definiciones que da, distintas que en algunos libros más coloquiales de álgebra lineal. Además, casi todo el libro está escrito sin marcar claramente el inicio y final de proposiciones, ejemplos, demostraciones, teoremas… cosa que hace más incómoda y farragosa la lectura del mismo. De todas maneras, trata de manera correcta el tema ofrecido.

⭐

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