Happy Holidays—Our €30 Gift Card just for you, and books ship free! Shop now>>

Theory of Transformation Groups I

General Properties of Continuous Transformation Groups. A Contemporary Approach and Translation

Authors: Lie, Sophus

Editors: Merker, Joel (Ed.)

Free Preview
  • Revalues the purity and the incredible beauty of Lie’s architectural Theorie der Transformations gruppen
  • Makes available Lie’s classification theorems that are not reproved in any modern textbook
  • Offers to researchers the domain of PDEs' symmetries and the classification of differential equations in several (in)dependent variables
see more benefits

Buy this book

eBook 91,62 €
price for India (gross)
  • ISBN 978-3-662-46211-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 109,99 €
price for India (gross)
  • ISBN 978-3-662-46210-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 109,99 €
price for India (gross)
  • ISBN 978-3-662-51266-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of examples. The major part of the present volume offers an extremely clear translation of the lucid original. The first four chapters provide not only a translation, but also a contemporary approach, which will help present day readers to familiarize themselves with the concepts at the heart of the subject. The editor's main objective was to encourage a renewed interest in the detailed classification of Lie algebras in dimensions 1, 2 and 3, and to offer access to Sophus Lie's monumental Galois theory of continuous transformation groups, established at the end of the 19th Century. Lie groups are widespread in mathematics, playing a role in representation theory, algebraic geometry, Galois theory, the theory of partial differential equations and also in physics, for example in general relativity. This volume is of interest to researchers in Lie theory and exterior differential systems and also to historians of mathematics. The prerequisites are a basic knowledge of differential calculus, ordinary differential equations and differential geometry.

About the authors

Professor Joël Merker studied Mathematics and Philosophy at the Ecole Normale Supérieure in Paris where he received his Ph. D. in Mathematics (1996), followed by his habilitation in Mathematics (2006) and Ph. D. in Philosophy (2012). He was a CNRS researcher (1997-2010) and is currently Professor of Mathematics at Paris-Sud-Orsay University.

Table of contents (29 chapters)

Table of contents (29 chapters)

Buy this book

eBook 91,62 €
price for India (gross)
  • ISBN 978-3-662-46211-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 109,99 €
price for India (gross)
  • ISBN 978-3-662-46210-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 109,99 €
price for India (gross)
  • ISBN 978-3-662-51266-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Theory of Transformation Groups I
Book Subtitle
General Properties of Continuous Transformation Groups. A Contemporary Approach and Translation
Authors
Editors
  • Joel Merker
Translated by
Merker, J.
Copyright
2015
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-46211-9
DOI
10.1007/978-3-662-46211-9
Hardcover ISBN
978-3-662-46210-2
Softcover ISBN
978-3-662-51266-1
Edition Number
1
Number of Pages
XV, 643
Number of Illustrations
7 illustrations in colour
Topics