Science/Engineering Differential Geometry, Lie Groups, and Symmetric Spaces (Pure and Applied Mathematics,Vol 80): Sigurdur Helgason (0123384605)

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Differential Geometry, Lie Groups, and Symmetric Spaces (Pure and Applied Mathematics,Vol 80): Sigurdur Helgason

This is a considerably expanded version of the first 75% of the authors Differential Geometry and Symmetric Spaces, Academic Press 1962. For the graduate and advanced undergraduate students as well as mathematicians and mathematical physicists, the new book is both a self-contained text and a reference source on each of the three topics in the title.

The book provides an elementary introduction to differential geometry and to Lie groups and Lie algebras. It then focuses on the detailed structure theory of semisimple Lie groups and the geometry of symmetric spaces, ending with a complete classification. To facilitate self-study and to indicate further developments each chapter ends with "Exercises and Further Results". Solutions and references are given at the end of the book.

Review:

Superb Treatise and Indispensible Reference

The mere thought or mention of the name Helgason inspires respect and awe. This book gets five stars all the way on its merit alone, regardless of who wrote it. Difficult as it is, the book starts from the fundamentals and works up in a coherent logical manner, there are no gaps in his presentation. The negative review below is completely unjustified. If anyone would like to at least see some of what this book is like go to ocw.mit.edu and Buy Book at Lowest Price on Amazon

download Helgason's notes which use excerpts in this book. Some of the topics in this book are covered in a more easy going way in "Lie Groups, Lie Algebras, and Some of Their Applications" by Robert Gilmore. (If I'm not mistaken Gilmore was a student of Helgason.) This book is mathematical exposition at it's absolute finest and I don't think but 1 in 1,000 people reading this page need me to tell them that much less need a review to persuade them. This book has quite a reputation.

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	Study Differential Geometry, Lie Groups, and Symmetric Spaces Differential Geometry, Lie Groups, and Symmetric SpacesAcademic Pr \| ISBN 3540262539 \| 1978-12 \| PDF \| 628 pages \| 6.61 MBThis is a considerably expanded version of the first 75% of the authors Differential Geometry and Symmetric Spaces, Ac ...
	Science/Engineering Differential Geometry and Symmetric Spaces Sigurdur Helgason, “Differential Geometry and Symmetric Spaces” Academic Press Inc.,U.S. \| 1962-12 \| ISBN: 0123384508 \| 486 pages \| PDF \| 6,25 MB Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a ...
	Science/Engineering Linear Differential Equations and Function Spaces (Pure and Applied Mathematics, Vol 2) Linear Differential Equations and Function Spaces (Pure and Applied Mathematics, Vol 2): Jose L. Massera, Juan F. Schaffer Academic Pr \| ISBN: 0124786502 \| June 1966 \| djvu (ocr) \| 404 pages \| 6375 KB This book presents in systematic and d ...
	Science/Engineering The Radon Transform (Progress in Mathematics) (Vol 5): Sigurdur Helgason The Radon Transform (Progress in Mathematics) (Vol 5): Sigurdur Helgason Birkhäuser Boston \| ISBN: 0817641092 \| August 1, 1999 \| PDF (OCR) \| 188 pages \| 1129 KB The Radon transform is an important topic in integral geometry which deals w ...
	Science/Engineering Differential Equations in Banach Spaces (Lecture Notes in Pure and Applied Mathematics) Differential Equations in Banach Spaces (Lecture Notes in Pure and Applied Mathematics)Publisher: CRC; 1 edition (August 5, 1993) \| ISBN-10: 0824790677 \| 288 pages \| DjVu \| 5.93 MBThis reference - based on the Conference on Differential Equ ...
	Degenerate Differential Equations in Banach Spaces (Pure and Applied Mathematics) (Monographs and Textbooks in Pure and Applied Mathematics, 215) Author: Angelo FaviniPublisher: CRC (1998)Binding: Hardcover, 336 pagespricer: $189.95ISBN-10: 0824716779editorialreviewsContains a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by ...

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	Study Differential Geometry, Lie Groups, and Symmetric Spaces Differential Geometry, Lie Groups, and Symmetric SpacesAcademic Pr \| ISBN 3540262539 \| 1978-12 \| PDF \| 628 pages \| 6.61 MBThis is a considerably expanded version of the first 75% of the authors Differential Geometry and Symmetric Spaces, Ac ...
	Science/Engineering Differential Geometry and Symmetric Spaces Sigurdur Helgason, “Differential Geometry and Symmetric Spaces” Academic Press Inc.,U.S. \| 1962-12 \| ISBN: 0123384508 \| 486 pages \| PDF \| 6,25 MB Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a ...
	Science/Engineering Linear Differential Equations and Function Spaces (Pure and Applied Mathematics, Vol 2) Linear Differential Equations and Function Spaces (Pure and Applied Mathematics, Vol 2): Jose L. Massera, Juan F. Schaffer Academic Pr \| ISBN: 0124786502 \| June 1966 \| djvu (ocr) \| 404 pages \| 6375 KB This book presents in systematic and d ...
	Science/Engineering The Radon Transform (Progress in Mathematics) (Vol 5): Sigurdur Helgason The Radon Transform (Progress in Mathematics) (Vol 5): Sigurdur Helgason Birkhäuser Boston \| ISBN: 0817641092 \| August 1, 1999 \| PDF (OCR) \| 188 pages \| 1129 KB The Radon transform is an important topic in integral geometry which deals w ...
	Science/Engineering Differential Equations in Banach Spaces (Lecture Notes in Pure and Applied Mathematics) Differential Equations in Banach Spaces (Lecture Notes in Pure and Applied Mathematics)Publisher: CRC; 1 edition (August 5, 1993) \| ISBN-10: 0824790677 \| 288 pages \| DjVu \| 5.93 MBThis reference - based on the Conference on Differential Equ ...
	Degenerate Differential Equations in Banach Spaces (Pure and Applied Mathematics) (Monographs and Textbooks in Pure and Applied Mathematics, 215) Author: Angelo FaviniPublisher: CRC (1998)Binding: Hardcover, 336 pagespricer: $189.95ISBN-10: 0824716779editorialreviewsContains a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by ...

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