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

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9780821828489: Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics)
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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.

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Sigurdur Helgason
Editorial: American Mathematical Society (2001)
ISBN 10: 0821828487 ISBN 13: 9780821828489
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Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
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Descripción American Mathematical Society, 2001. Hardcover. Estado de conservación: New. Brand new. We distribute directly for the publisher. 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. Nº de ref. de la librería 1005120066

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218284890000000

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Descripción American Mathematical Society, 2001. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821828489

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Descripción American Mathematical Society, United States, 2001. Hardback. Estado de conservación: New. New edition. 262 x 185 mm. Language: English . Brand New Book. From reviews for the First Edition: A great book.a necessary item in any mathematical library - S. S. Chern. 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 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. Nº de ref. de la librería AAN9780821828489

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Sigurdur Helgason
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Descripción American Mathematical Society, United States, 2001. Hardback. Estado de conservación: New. New edition. 262 x 185 mm. Language: English . Brand New Book. From reviews for the First Edition: A great book.a necessary item in any mathematical library - S. S. Chern. 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 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. Nº de ref. de la librería AAN9780821828489

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Descripción American Mathematical Society, 2001. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821828487

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Descripción American Mathematical Society, 2001. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821828487

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Sigurdur Helgason
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Descripción American Mathematical Society, 2001. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110821828487

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Descripción Amer Mathematical Society, 2001. Hardcover. Estado de conservación: Brand New. 640 pages. 10.50x7.50x1.50 inches. In Stock. Nº de ref. de la librería __0821828487

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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Differential Geometry, Lie Groups and Symmetric Spaces (New edition), Sigurdur Helgason, From reviews for the First Edition: 'A great book.a necessary item in any mathematical library' - S. S. Chern. 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' 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. Nº de ref. de la librería B9780821828489

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