Wintersalen Sale
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Tour our stores


    Recently Viewed clear list


    Original Essays | September 30, 2014

    Benjamin Parzybok: IMG A Brief History of Video Games Played by Mayors, Presidents, and Emperors



    Brandon Bartlett, the fictional mayor of Portland in my novel Sherwood Nation, is addicted to playing video games. In a city he's all but lost... Continue »

    spacer
Qualifying orders ship free.
$99.00
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
1 Remote Warehouse Mathematics- Algebra

More copies of this ISBN

This title in other editions

A Taste of Jordan Algebras

by

A Taste of Jordan Algebras Cover

 

Synopses & Reviews

Publisher Comments:

 In this book, Kevin McCrimmon describes the history of Jordan Algebras and he describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. To keep the exposition elementary, the structure theory is developed for linear Jordan algebras, though the modern quadratic methods are used throughout. Both the quadratic methods and the Zelmanov results go beyond the previous textbooks on Jordan theory, written in the 1960's and 1980's before the theory reached its final form. This book is intended for graduate students and for individuals wishing to learn more about Jordan algebras. No previous knowledge is required beyond the standard first-year graduate algebra course. General students of algebra can profit from exposure to nonassociative algebras, and students or professional mathematicians working in areas such as Lie algebras, differential geometry, functional analysis, or exceptional groups and geometry can also profit from acquaintance with the material. Jordan algebras crop up in many surprising settings and can be applied to a variety of mathematical areas. Kevin McCrimmon introduced the concept of a quadratic Jordan algebra and developed a structure theory of Jordan algebras over an arbitrary ring of scalars. He is a Professor of Mathematics at the University of Virginia and the author of more than 100 research papers.

Synopsis:

Describing the history of Jordan algebras, this book explores in full mathematical detail the structure theory for Jordan algebras of arbitrary dimension due to Efim Zelmanov. The book is written to serve either as a text for a second-year graduate course, or for independent reading.

Synopsis:

 Kevin McCrimmon introduced the concept of a quadratic Jordan algebra and developed a structure theory of Jordan algebras over an arbitrary ring of scalars. He is a Professor of Mathematics at the University of Virginia and the author of more than 100 research papers.

Synopsis:

This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.

Table of Contents

Introduction.- A Brief Survey of Jordan Theory: Origin of the Species; The Search for the Exceptional Algebras; Was sind und was sollen die Jordan Algebren? Connections with Lie Algebras and Groups; The Jordan River; Connections with the Real World; Connections with the Complex World.- The Historical Perspective: An Historical Survey of Jordan Structure Theory: Jordan Algebras in Physical Antiquity; Jordan Algebras in the Algebraic Renaissance; Jordan Algebras in the Enlightenment; The Classical Theory; The Final Classical Formulation; The Classical Methods; The Russian Revolution: 1977-1983; Zelmanov's Exceptional Methods.- The Classical Theory: The Category of Jordan Algebras; The Category of Alternative Algebras; Three Special Examples; Jordan Algebras of Cubic Forms; Two Basic Principles; Invertibility; Isotopes; Peirce Decomposition; Off-Diagonal Rules; Peirce Consequences; Spin Coordinatization; Hermitian Coordinatization; Multiple Peirce Decomposition; Multiple Peirce Consequences; Hermitian Symmetries; The Coordinate Algebra; Jacobson Coordinatization; Von Neumann Regularity; Inner Simplicity; Capacity; Herstein-Kleinfeld-Osborn.

Product Details

ISBN:
9780387954479
Author:
McCrimmon, Kevin
Publisher:
Springer
Location:
New York, NY
Subject:
Algebra - General
Subject:
Jordan algebras
Subject:
Algebra
Subject:
Mathematics - Algebra
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Description:
Book
Series:
Universitext
Series Volume:
microcopy no. 594
Publication Date:
20031131
Binding:
HARDCOVER
Language:
English
Pages:
588
Dimensions:
235 x 155 mm 2210 gr

Other books you might like

  1. First-Order Partial Differential... New Trade Paper $24.95
  2. Combinatorial Optimization: Networks... New Trade Paper $24.95
  3. Combinatorics for Computer Science... Used Trade Paper $8.50
  4. Nonlinear Ordinary Differential... Used Hardcover $85.00
  5. Non-Linear Elastic Deformations Used Trade Paper $14.00
  6. Introduction To the Theory of Games Used Hardcover $7.95

Related Subjects

Engineering » Engineering » General Engineering
Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Combinatorics
Science and Mathematics » Mathematics » General

A Taste of Jordan Algebras New Hardcover
0 stars - 0 reviews
$99.00 In Stock
Product details 588 pages Springer - English 9780387954479 Reviews:
"Synopsis" by , Describing the history of Jordan algebras, this book explores in full mathematical detail the structure theory for Jordan algebras of arbitrary dimension due to Efim Zelmanov. The book is written to serve either as a text for a second-year graduate course, or for independent reading.
"Synopsis" by ,  Kevin McCrimmon introduced the concept of a quadratic Jordan algebra and developed a structure theory of Jordan algebras over an arbitrary ring of scalars. He is a Professor of Mathematics at the University of Virginia and the author of more than 100 research papers.
"Synopsis" by , This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.