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Lie Groups
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Lie Groups

1st ed. 2021

Book Details

Format Hardback or Cased Book
ISBN-10 3030618234
ISBN-13 9783030618230
Edition 1st ed. 2021
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture GB
Country of Publication GB
Publication Date Feb 24th, 2021
Print length 371 Pages
Ksh 12,600.00
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This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. As a mathematical structure, a Lie group combines the algebraic group structure and the differentiable variety structure.
This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. Lie groups are a special class of groups that are studied using differential and integral calculus methods. As a mathematical structure, a Lie group combines the algebraic group structure and the differentiable variety structure. Studies of such groups began around 1870 as groups of symmetries of differential equations and the various geometries that had emerged. Since that time, there have been major advances in Lie theory, with ramifications for diverse areas of mathematics and its applications.

Each chapter of the book begins with a general, straightforward introduction to the concepts covered; then the formal definitions are presented; and end-of-chapter exercises help to check and reinforce comprehension. Graduate and advanced undergraduate students alike will find in this book a solid yet approachable guide that will help them continue their studies with confidence.

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