Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material.

Helgason begins with a concise, self-contained introduction to differential geometry. He then introduces Lie groups and Lie algebras, including important results on their structure. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $/mathbf{C}$ and Cartan's classification of simple Lie algebras over $/mathbf{R}$.

The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All the problems have either solutions or substantial hints, found at the back of the book.

For this latest edition, Helgason has made corrections and added helpful notes and useful references. The sequels to the present book are published in the AMS's Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Volume 83, and Geometric Analysis on Symmetric Spaces, Volume 39.

Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.

Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) by Sigurdur Helgason

From reader reviews:

Katherine Levy:

What do you concerning book? It is not important with you? Or just adding material when you really need something to explain what you problem? How about your free time? Or are you busy particular person? If you don't have spare time to complete others business, it is make you feel bored faster. And you have spare time? What did you do? Everyone has many questions above. They need to answer that question simply because just their can do that will. It said that about book. Book is familiar in each person. Yes, it is appropriate. Because start from on kindergarten until university need that Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) to read.

Alberto Benson:

Hey guys, do you really wants to finds a new book to study? May be the book with the concept Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) suitable to you? The book was written by famous writer in this era. Typically the book untitled Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics)is the main one of several books which everyone read now. This kind of book was inspired a lot of people in the world. When you read this publication you will enter the new shape that you ever know prior to. The author explained their plan in the simple way, so all of people can easily to understand the core of this publication. This book will give you a large amount of information about this world now. In order to see the represented of the world in this book.

Eliseo Watkins:

People live in this new morning of lifestyle always aim to and must have the time or they will get great deal of stress from both day to day life and work. So , when we ask do people have spare time, we will say absolutely without a doubt. People is human not really a huge robot. Then we request again, what kind of activity do you possess when the spare time coming to an individual of course your answer will unlimited right. Then do you ever try this one, reading guides. It can be your alternative throughout spending your spare time, the particular book you have read will be Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics).

Diane Wilson:

Reading can called brain hangout, why? Because if you are reading a book specially book entitled Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) your mind will drift away trough every dimension, wandering in most aspect that maybe unidentified for but surely will end up your mind friends. Imaging each and every word written in a book then become one application form conclusion and explanation in which maybe you never get prior to. The Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) giving you one more experience more than blown away your brain but also giving you useful facts for your better life in this particular era. So now let us demonstrate the relaxing pattern the following is your body and mind will probably be pleased when you are finished looking at it, like winning a. Do you want to try this extraordinary spending spare time activity?