# Exterior Algebras

Download book entitled Exterior Algebras by Vincent Pavan and published by Elsevier in PDF, EPUB and Kindle. Read Exterior Algebras book directly from your devices anywhere anytime. Click Download Book button to get book file. Read some info about this book below.

- Author : Vincent Pavan
- Publisher : Elsevier
- Release : 25 May 2017
- ISBN : 9780081023488
- Page : 208 pages
- Rating : 4.5/5 from 103 voters

## Exterior Algebras Book PDF summary

Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others. Presents a self-contained guide that does not require any specific algebraic background Includes numerous examples and direct applications that are suited for beginners

### Exterior Algebras

- Author : Vincent Pavan
- Publisher : Elsevier
- Release Date : 2017-05-25
- ISBN : 9780081023488

Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others. Presents a self-contained guide that does not require any specific algebraic

### Tensor Spaces and Exterior Algebra

- Author : Takeo Yokonuma
- Publisher : American Mathematical Soc.
- Release Date : 1992
- ISBN : 0821827960

This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject. This book is useful in undergraduate and graduate courses in multilinear algebra. Tensor Spaces and Exterior Algebra begins with basic notions associated with tensors. To facilitate understanding of the definitions, Yokonuma often presents two or more different ways of describing one object. Next, the properties and

### Linear Algebra via Exterior Products

- Author : Sergei Winitzki
- Publisher : Sergei Winitzki
- Release Date : 2010-01-04
- ISBN : 9781409294962

This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for

### A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods

- Author : Johan G. F. Belinfante,Bernard Kolman
- Publisher : SIAM
- Release Date : 1989-01-01
- ISBN : 1611971330

Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory

### Algebra I

- Author : N. Bourbaki
- Publisher : Springer Science & Business Media
- Release Date : 1998-08-03
- ISBN : 3540642439

An exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, and the third investigatesalgebras, particularly tensor algebras.

### From Vectors to Tensors

- Author : Juan R. Ruiz-Tolosa,Enrique Castillo
- Publisher : Springer Science & Business Media
- Release Date : 2006-03-30
- ISBN : 9783540270669

This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary computer package, written in Mathematica, is available through the Internet.

### Lectures on Exterior Algebras Over Commutative Rings

- Author : Robert B. Gardner
- Publisher : Unknown
- Release Date : 1972
- ISBN : STANFORD:36105031423580

### Clifford Algebras and Spinor Structures

- Author : Rafal Ablamowicz,P. Lounesto
- Publisher : Springer Science & Business Media
- Release Date : 2013-06-29
- ISBN : 9789401584227

This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and

### Fundamental Concepts of Algebra

- Author : Anonim
- Publisher : Academic Press
- Release Date : 1957-01-01
- ISBN : 0080873154

Fundamental Concepts of Algebra

### Algebras, Rings and Modules

- Author : Michiel Hazewinkel,Vladimir V. Kirichenko
- Publisher : Springer Science & Business Media
- Release Date : 2007
- ISBN : 9781402051401

### Clifford Algebras and Lie Theory

- Author : Eckhard Meinrenken
- Publisher : Springer Science & Business Media
- Release Date : 2013-02-28
- ISBN : 9783642362163

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci’s proof of the Poincaré–Birkhoff–

### Clifford Algebras and Spinors

- Author : Pertti Lounesto
- Publisher : Cambridge University Press
- Release Date : 2001-05-03
- ISBN : 9780521005517

This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history

### Abstract Algebra

- Author : Pierre Antoine Grillet
- Publisher : Springer Science & Business Media
- Release Date : 2007-07-21
- ISBN : 9780387715681

A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite

### Linear Algebra and Geometry

- Author : Igor R. Shafarevich,Alexey O. Remizov
- Publisher : Springer Science & Business Media
- Release Date : 2012-08-23
- ISBN : 9783642309946

This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior

### An Introduction to Clifford Algebras and Spinors

- Author : Roldao Da Rocha, Jr.
- Publisher : Oxford University Press
- Release Date : 2016-05-19
- ISBN : 9780198782926

This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging a gap between Physics and Mathematics. This collaboration has been the consequence of a growing awareness of the importance of algebraic and geometric properties in many physical phenomena, and of the discovery of common ground through various touch points: relating Clifford algebras and the arising geometry to so-called spinors, and to their three definitions (both from the mathematical and physical viewpoint). The main point of