Latin American Mathematics Series

Lie Groups

Authors: San Martin, Luiz Antonio Barrera

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  • Presents Lie theory from its fundamental principles, as a special class of groups that are studied using differential and integral calculus methods
  • Offers several exercises at the end of each chapter, to check and reinforce comprehension 
  • Each chapter of the book begins with a general, straightforward introduction to the concepts covered, before the formal definitions are presented
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eBook $79.99
price for USA in USD
  • ISBN 978-3-030-61824-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-030-61823-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

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.

About the authors

Luiz Antonio Barrera San Martin is a Full Professor at the University of Campinas, Brazil. He holds a Master's degree in Mathematics (1982) from the University of Campinas, Brazil, and a PhD in Mathematics (1987) from the University of Warwick, England. His research interests are in Lie Theory, more precisely in semigroups, semisimple groups, Lie groups, homogeneous spaces, and flag manifolds.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-3-030-61824-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-030-61823-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Lie Groups
Authors
Series Title
Latin American Mathematics Series
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Editora Unicamp
eBook ISBN
978-3-030-61824-7
DOI
10.1007/978-3-030-61824-7
Hardcover ISBN
978-3-030-61823-0
Edition Number
1
Number of Pages
XIV, 371
Number of Illustrations
25 b/w illustrations
Additional Information
Jointly published with Editora da Unicamp, Campinas,. Original Portuguese edition published by Editora da Unicamp, Campinas, Brazil, 2016
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