The Theory of Spinors (Dover Books on Mathematics) Book PDF, ePub eBook
The Theory of Spinors (Dover Books on Mathematics).pdf
File Name: The Theory of Spinors (Dover Books on Mathematics).pdf
Size: 13.21 MB
Uploaded: 2017-04-28 03:12:50
Status: AVAILABLE Last checked: 49 Minutes ago!
Rating: ★★★★★ 84 out of 100 based on 23315 user
Book Descriptions:
The French mathematician Élie Cartan (1869–1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to introduce spinors into Riemannian geometry, and particularly to apply the idea of parallel transport to these geometrical entities.
The book is divided into two parts. The first is devoted to generalities on the group of rotations in n-dimensional space and on the linear representations of groups, and to the theory of spinors in three-dimensional space. Finally, the linear representations of the group of rotations in that space (of particular importance to quantum mechanics) are also examined. The second part is devoted to the theory of spinors in spaces of any number of dimensions, and particularly in the space of special relativity (Minkowski space). While the basic orientation of the book as a whole is mathematical, physicists will be especially interested in the final chapters treating the applications of spinors in the rotation and Lorentz groups. In this connection, Cartan shows how to derive the "Dirac" equation for any group, and extends the equation to general relativity.
One of the greatest mathematicians of the 20th century, Cartan made notable contributions in mathematical physics, differential geometry, and group theory. Although a profound theorist, he was able to explain difficult concepts with clarity and simplicity. In this detailed, explicit treatise, mathematicians specializing in quantum mechanics will find his lucid approach a great value.
The Theory of Spinors (Dover Books on Mathematics) by Élie Cartan
From reader reviews:Hayden Roberts:
With other case, little persons like to read book The Theory of Spinors (Dover Books on Mathematics). You can choose the best book if you want reading a book. Provided that we know about how is important any book The Theory of Spinors (Dover Books on Mathematics). You can add understanding and of course you can around the world by way of a book. Absolutely right, due to the fact from book you can realize everything! From your country until finally foreign or abroad you can be known. About simple issue until wonderful thing you could know that. In this era, we are able to open a book or searching by internet product. It is called e-book. You may use it when you feel uninterested to go to the library. Let's learn.
Orville Norman:
As people who live in the actual modest era should be change about what going on or information even knowledge to make these keep up with the era which can be always change and make progress. Some of you maybe can update themselves by studying books. It is a good choice for you personally but the problems coming to you is you don't know which you should start with. This The Theory of Spinors (Dover Books on Mathematics) is our recommendation to help you keep up with the world. Why, because book serves what you want and need in this era.
Laveta Blodgett:
Do you one among people who can't read enjoyable if the sentence chained in the straightway, hold on guys this specific aren't like that. This The Theory of Spinors (Dover Books on Mathematics) book is readable through you who hate the perfect word style. You will find the facts here are arrange for enjoyable reading experience without leaving possibly decrease the knowledge that want to offer to you. The writer regarding The Theory of Spinors (Dover Books on Mathematics) content conveys the thought easily to understand by lots of people. The printed and e-book are not different in the content material but it just different such as it. So , do you continue to thinking The Theory of Spinors (Dover Books on Mathematics) is not loveable to be your top listing reading book?
Helen Noyola:
Nowadays reading books become more and more than want or need but also get a life style. This reading addiction give you lot of advantages. The advantages you got of course the knowledge the rest of the information inside the book in which improve your knowledge and information. The details you get based on what kind of guide you read, if you want have more knowledge just go with schooling books but if you want experience happy read one together with theme for entertaining like comic or novel. Typically the The Theory of Spinors (Dover Books on Mathematics) is kind of publication which is giving the reader erratic experience.
How it works:
- 1. Register a free 1 month Trial Account.
- 2. Download as many books as you like (Personal use)
- 3. Cancel the membership at any time if not satisfied.
