How Long to Read Differential Geometry, Lie Groups, and Symmetric Spaces

How Long Does it Take to Read Differential Geometry, Lie Groups, and Symmetric Spaces?

It takes the average reader 11 hours and 27 minutes to read Differential Geometry, Lie Groups, and Symmetric Spaces by Sigurdur Helgason

Assuming a reading speed of 250 words per minute. Learn more

Description

A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. --Barrett O'Neill, University of California This is obviously a very valuable and well thought-out book on an important subject. --Andre Weil, Institute for Advanced Study 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. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. 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 $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.

How long is Differential Geometry, Lie Groups, and Symmetric Spaces?

Differential Geometry, Lie Groups, and Symmetric Spaces by Sigurdur Helgason is 682 pages long, and a total of 171,864 words.

This makes it 230% the length of the average book. It also has 210% more words than the average book.

How Long Does it Take to Read Differential Geometry, Lie Groups, and Symmetric Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 15 hours and 39 minutes to read Differential Geometry, Lie Groups, and Symmetric Spaces aloud.

What Reading Level is Differential Geometry, Lie Groups, and Symmetric Spaces?

Differential Geometry, Lie Groups, and Symmetric Spaces is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Differential Geometry, Lie Groups, and Symmetric Spaces?

Differential Geometry, Lie Groups, and Symmetric Spaces by Sigurdur Helgason is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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